BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Cintia Pacchiano (Aalto University Helsinki) DTSTART;VALUE=DATE-TIME:20200702T101500Z DTEND;VALUE=DATE-TIME:20200702T113000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/1 DESCRIPTION:Title: Var iational solutions to the total variation ﬂow on metric measure spaces\nby Cintia Pacchiano (Aalto University Helsinki) as part of EDDy weekly seminar\n\n\nAbstract\nIn this talk I will discuss some aspects of the po tential theory\, ﬁne properties and boundary behaviour of the solutions to the Total Variation Flow. Instead of the classical Euclidean setting\, we intend to work mostly in the general setting of metric measure spaces. During the past two decades\, a theory of Sobolev functions and BV functio ns has been developed in this abstract setting. A central motivation for d eveloping such a theory has been the desire to unify the assumptions and m ethods employed in various speciﬁc spaces\, such as weighted Euclidean s paces\, Riemannian manifolds\, Heisenberg groups\, graphs\, etc. The total variation ﬂow can be understood as a process diminishing the total vari ation using the gradient descent method. This idea can be reformulated usi ng parabolic minimizers\, and it gives rise to a deﬁnition of variationa l solutions. The advantages of the approach using a minimization formulati on include much better convergence and stability properties. This is a ver y essential advantage as the solutions naturally lie only in the space of BV functions. Our main goal is to give a necessary and suﬃcient conditio n for continuity at a given point for proper solutions to the total variat ion ﬂow in metric spaces. \n\nThis is joint work with Vito Buﬀa and Ju ha Kinnunen.\n LOCATION:https://researchseminars.org/talk/EDDy/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Philipp Reiter (Martin-Luther-University Halle-Wittenberg) DTSTART;VALUE=DATE-TIME:20200707T081500Z DTEND;VALUE=DATE-TIME:20200707T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/2 DESCRIPTION:Title: A b ending‐twist model for elastic rods\nby Philipp Reiter (Martin-Luthe r-University Halle-Wittenberg) as part of EDDy weekly seminar\n\n\nAbstrac t\nFocussing on models of springy wires\, we study framed curves whose evo lution is driven both by the bending energy and the twisting energy. The l atter tracks the rotation of the frame about the centerline of the curve. In order to prevent topology changes during the evolution\, we add a self ‐avoiding term\, namely the tangent‐point energy. We discuss the discr etization of this model and present some numerical simulations. \n\nThis i s joint work with Sören Bartels.\n LOCATION:https://researchseminars.org/talk/EDDy/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Amina Mecherbet (Sorbonne Université Paris) DTSTART;VALUE=DATE-TIME:20200716T101500Z DTEND;VALUE=DATE-TIME:20200716T113000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/4 DESCRIPTION:Title: On the correction to Einstein's formula for the effective viscosity\nby A mina Mecherbet (Sorbonne Université Paris) as part of EDDy weekly seminar \n\n\nAbstract\nWe consider the problem of the derivation of an effective model for viscous dilute suspensions. A previous work by D. Gérard-Varet and M. Hillairet showed that\, if a second order Stokes effective approxim ation exists then the mean value of the second order correction for the ef fective viscosity is given by a mean-field limit that can be studied and c omputed under further assumptions on the particle configurations. We exten d this result by identifying the second order correction in the general ca se and show the convergence to the limit effective model as soon as the me an field limit exists. In particular we recover the mean-field analysis co nsidered by D. Gérard-Varet and M. Hillairet in their paper for the homog eneous case of periodic and random stationary particle configurations. \n\ nThis is a joint work with D. Gérard-Varet.\n LOCATION:https://researchseminars.org/talk/EDDy/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Gabriel Sattig (University of Leipzig) DTSTART;VALUE=DATE-TIME:20200618T101500Z DTEND;VALUE=DATE-TIME:20200618T113000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/5 DESCRIPTION:Title: Non -Uniqueness for the Transport equation and ODEs with rough Coefficients\nby Gabriel Sattig (University of Leipzig) as part of EDDy weekly semina r\n\n\nAbstract\nIn this talk I will recall the classic theory of transpor t equations due to DiPerna\, P.-L. Lions and Ambrosio and then show to rec ent result on ill-posedness in the case that the DiPerna-Lions integrabili ty condition fails. Using the classic theory and recent extensions of it I will show how this result implies the failure of almost-everywhere-unique ness for ODEs with Sobolev coefficients. \n\nJoint work with S. Modena and L. Székelyhidi.\n LOCATION:https://researchseminars.org/talk/EDDy/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Sascha Knüttel (Technische Universität Dortmund) DTSTART;VALUE=DATE-TIME:20200625T101500Z DTEND;VALUE=DATE-TIME:20200625T113000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/6 DESCRIPTION:Title: New diffuse Approximations of the Willmore Energy\nby Sascha Knüttel (Te chnische Universität Dortmund) as part of EDDy weekly seminar\n\n\nAbstra ct\nI will talk about a new phase ﬁeld approximation of the Willmore ene rgy. I start from a diﬀuse perimeter approximation considered by Amstutz -van Goethem and motivate from this an approximation of the Willmore energ y. I show a $\\Gamma$-$\\limsup$ estimate for the approximation and justif y by a formal asymptotic expansion that a corresponding $L^2$-Gradient Flo w converges to the Willmore Flow. I will also consider another model propo sed by Karali-Katsoulakis and motivate an approximation of the Willmore en ergy based on it. I will outline the similarities between the models conce rning the formal asymptotics of the $L^2$-Gradient Flow. \n\nJoint work wi th M. Röger\, TU Dortmund.\n LOCATION:https://researchseminars.org/talk/EDDy/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Christian Klingenberg (University of Wuerzburg) DTSTART;VALUE=DATE-TIME:20201015T080000Z DTEND;VALUE=DATE-TIME:20201015T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/7 DESCRIPTION:Title: Fin ding solutions of the multi-dimensional compressible Euler equations\n by Christian Klingenberg (University of Wuerzburg) as part of EDDy weekly seminar\n\n\nAbstract\nThis talk will survey some results for the two- or three-space dimensional compressible Euler equations\, results both in the ory and numerics. We shall present $\\\\$\n - non-uniqueness results of weak entropy solutions for special initial data using convex integration $\\\\$\n - introducing solution concepts beyond weak solutions that all ows to show convergence to the incompressible limit of the compressible Eu ler equations with gravity $\\\\$\n - the relationship between stationa ry preservation\, maintaining vorticity\, and asymptotic preserving numeri cal methods $\\\\$\n - introduce a high order numerical method that hol ds promise to achieve this. $\\\\$\n\nThis is joint work among others with Simon Markfelder\, Wasilij Barsukow\, Eduard Feireisl and Phil Roe.\nRefe rences\n\n W. Barsukow\, J. Hohm\, C. Klingenberg\, and P. L. Roe. The active flux scheme on Cartesian grids and its low Mach number limit. Journ al of Scientific Computing 81\, pp. 594–622 (2019)\n\n E. Feireisl\, C. Klingenberg\, O. Kreml\, and S. Markfelder. On oscillatory solutions to the complete Euler equations. Journal of Differential Equations 296 (2)\, pp. 1521-1543 (2020)\n LOCATION:https://researchseminars.org/talk/EDDy/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Mária Lukácová-Medvidová (Johannes Gutenberg University Mainz) DTSTART;VALUE=DATE-TIME:20201105T091500Z DTEND;VALUE=DATE-TIME:20201105T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/8 DESCRIPTION:Title: K-c onvergence of numerical solutions of the Euler equations\nby Mária Lu kácová-Medvidová (Johannes Gutenberg University Mainz) as part of EDDy weekly seminar\n\n\nAbstract\nI present our recent results on the converge nce analysis of suitable finite volume methods for multidimensional Euler equations. We have shown that a sequence of numerical solutions converges weakly to a weak dissipative solution. The analysis requires only the cons istency and stability of a numerical method and can be seen as a generaliz ation of the famous Lax-equivalence theorem for nonlinear problems. The we ak-strong uniqueness principle implies the strong convergence of numerical solutions to the classical solution as long as it exists.\n\nOn the other hand\, if the classical solution does not exist we apply the so-called K- convergence and show how to compute effectively the observable quantities of a space-time parametrized measure generated by numerical solutions. Con sequently\, we derive the strong convergence of the empirical averages of numerical solutions to a weak dissipative solution. If time permits I will illustrate a connection to the concept of statistical convergence.\n LOCATION:https://researchseminars.org/talk/EDDy/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Umberto Hryniewicz (RWTH Aachen University) DTSTART;VALUE=DATE-TIME:20201112T091500Z DTEND;VALUE=DATE-TIME:20201112T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/9 DESCRIPTION:Title: Sym plectic Field Theory and topological entropy in Hamiltonian systems\nb y Umberto Hryniewicz (RWTH Aachen University) as part of EDDy weekly semin ar\n\n\nAbstract\nThe concept of topological entropy plays a central role in the modern theory of Dynamical Systems. Originally introduced by Adler\ , Konheim and McAndrew in 1960’s\, it was later reformulated and clarifi ed by work of Rufus Bowen. It has roots in the work of Kolmogorov and Sina i. Positive topological entropy is usually taken as the mathematical defin ition of (topological) chaos\, in fact fundamental results of Katok imply that\, in low dimensions\, positive topological entropy forces the presenc e of horseshoes.\n\nAfter discussing this circle of ideas\, the goal of th is talk will be to understand how variational methods can be used to detec t positive topological entropy in Hamiltonian systems. The prototypical ex ample is that of a geodesic flow on a negatively curved surface. In a seco nd step we will discuss how sophisticated variational methods - which go u nder the umbrella of Symplectic Field Theory and are based on elliptic PDE s - can be used to generalise the same kind of results to larger classes o f Hamiltonian systems.\n LOCATION:https://researchseminars.org/talk/EDDy/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Wolfgang Maurer (Universität Konstanz) DTSTART;VALUE=DATE-TIME:20200730T101500Z DTEND;VALUE=DATE-TIME:20200730T113000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/10 DESCRIPTION:Title: Cu rvature Bounds for Mean Curvature Flow of Complete Graphical Hypersurfaces \nby Wolfgang Maurer (Universität Konstanz) as part of EDDy weekly se minar\n\n\nAbstract\nWe investigate mean curvature flow of complete graphi cal hypersurfaces. These are complete hypersurfaces that can be written as graphs of functions defined on (bounded) domains and going to infinity at the boundary for completeness. We discuss two different curvature bounds for these flows\, one that works below some arbitrary height and one that works above a certain height and is dependent on the enveloping cylinder. We demonstrate what makes a uniform curvature bound difficult. Moreover\, we give an example that behaves quite badly\, illustrating issues that ari se in this context. Lastly\, we touch upon how one can obtain curvature bo unds beyond singularities in the mean convex case.\n LOCATION:https://researchseminars.org/talk/EDDy/10/ END:VEVENT BEGIN:VEVENT SUMMARY:Albert Wood (University College London) DTSTART;VALUE=DATE-TIME:20200917T111500Z DTEND;VALUE=DATE-TIME:20200917T123000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/11 DESCRIPTION:Title: Si ngularities of Lagrangian Mean Curvature Flow\nby Albert Wood (Univers ity College London) as part of EDDy weekly seminar\n\n\nAbstract\nAfter Ri cci flow\, the mean curvature flow of submanifolds in a Riemannian manifol d is perhaps the most natural and famous geometric flow\, describing the g radient descent for the volume functional. It was therefore an exciting di scovery when Knut Smoczyk demonstrated that in an ambient Ricci-flat Kähl er manifold\, the class of Lagrangian submanifolds is preserved under the flow. This phenomenon is now referred to as Lagrangian mean curvature flow .\n\nLagrangian mean curvature flow has since been shown to have propertie s and behaviour distinct from that of mean curvature flow in general. In t his talk I will focus on the singular behaviour of the flow\, highlight th e differences and similarities to the general case\, and bring attention t o some open conjectures in the field.\n LOCATION:https://researchseminars.org/talk/EDDy/11/ END:VEVENT BEGIN:VEVENT SUMMARY:Paul Creutz (University of Cologne) DTSTART;VALUE=DATE-TIME:20201001T101500Z DTEND;VALUE=DATE-TIME:20201001T113000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/12 DESCRIPTION:Title: Ar ea minimizing surfaces for singular boundary values\nby Paul Creutz (U niversity of Cologne) as part of EDDy weekly seminar\n\n\nAbstract\nBy a c lassical result of Douglas\, for any given $p\\geq 0$ and configuration $\ \Gamma\\subset \\mathbb{R}^n$ of disjoint Jordan curves there exists an ar ea minimizer among all compact surfaces of genus at most $p$ which span $\ \Gamma$. In the talk we will discuss a generalization of this theorem to s ingular configurations $\\Gamma$ of possibly non-disjoint or self-intersec ting curves. Furthermore\, the talk will contain new existence results for regular configurations $\\Gamma$ in more general ambient spaces such as R iemannian manifolds.\n\nThis is joint work with M. Fitzi.\n LOCATION:https://researchseminars.org/talk/EDDy/12/ END:VEVENT BEGIN:VEVENT SUMMARY:Sascha Eichmann (University Tübingen) DTSTART;VALUE=DATE-TIME:20200806T101500Z DTEND;VALUE=DATE-TIME:20200806T113000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/13 DESCRIPTION:Title: Ca nham-Helfrich energy and geometric measure theory\nby Sascha Eichmann (University Tübingen) as part of EDDy weekly seminar\n\n\nAbstract\nHelfr ich (1973) and Canham (1970) introduced the following geometric curvature energy to model the shape of human red blood cells. The idea is that the t wo dimensional boundary layer $\\Sigma\\subset\\mathbb{R}^3$ of such a cel l minimises\n$$\n \\int_\\Sigma |H-H_0|^2\\\, dA\n$$\nunder suitable const raints on e.g. the enclosed volume and surface area. Here $H$ is the scala r mean curvature of $\\Sigma$ and $H_0\\in\\mathbb{R}$ is a parameter call ed the spontaneous curvature\, which represents an asymmetry in the bounda ry layer of the cell. This induces a prefered curvature of the cell.\nIf t his asymmetry is not desired\, i.e. $H_0=0$\, this Canham-Helfrich energy becomes a variant of the famous Willmore energy.\nTo show existence of suc h a minimiser\, we will implement the direct method of the calculus of var iations. Compactness for a minimising sequence under varifold convergence can be easily obtained. Unfortunately lower-semicontinuity of the Helfrich energy under this varifold convergence is in general not correct by a cou nterexample of Große-Brauckmann (1993). Nevertheless we can actually show a lower-semicontinuity estimate for the minimising sequence itself.\nThro ughout the talk we will highlight the main tools used from geometric measu re theory. We explain these in some detail and how they are applied to our problem.\nIn the last part of the talk we will discuss some directions fo r future research in this area\, i.e. some open problems and some modifica tions to the Canham-Helfrich energy itself.\n LOCATION:https://researchseminars.org/talk/EDDy/13/ END:VEVENT BEGIN:VEVENT SUMMARY:Reza Pakzad (University of Pittsburgh) DTSTART;VALUE=DATE-TIME:20201126T091500Z DTEND;VALUE=DATE-TIME:20201126T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/14 DESCRIPTION:Title: Th e geometry of weakly regular isometric immersions\nby Reza Pakzad (Uni versity of Pittsburgh) as part of EDDy weekly seminar\n\n\nAbstract\nWe co nsider isometric immersions of 3-dimensional domains into $\\mathbb{R}^3$ at low regularity regimes\, in particular in the case of a flat domain. A notion of second fundamental form can be defined when only $1/2$-fractiona l derivatives of the Gauss map are well-controlled. Through an Analysis of the Codazzi system which - in a sense - survives at $2/3$-fractional diff erentiability\, we can pass to a degenerate Monge-Ampère equation and ext ract valuable geometric information about the rigidity of these isometric immersions. Time permitting\, we will discuss a conjecture of Gromov in th is regard and some connected problems in nonlinear analysis and geometric function theory.\n LOCATION:https://researchseminars.org/talk/EDDy/14/ END:VEVENT BEGIN:VEVENT SUMMARY:Giovanni Samaey (Katholieke Universiteit Leuven) DTSTART;VALUE=DATE-TIME:20201217T091500Z DTEND;VALUE=DATE-TIME:20201217T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/15 DESCRIPTION:Title: Co upled finite-volume/Monte-Carlo methods for plasma edge simulation in fusi on reactors\nby Giovanni Samaey (Katholieke Universiteit Leuven) as pa rt of EDDy weekly seminar\n\n\nAbstract\nNuclear fusion reactor design cru cially depends on numerical simulation. The plasma can usually be modeled using fluid equations (for mass\, momentum and energy). However\, the reac tor also contains neutral (non-charged) particles (which are important in its operation)\, of which both the position and velocity distribution is i mportant. This leads to a Boltzmann-type transport equation that needs to be discretised with a Monte Carlo method. One then obtains a coupled finit e-volume/Monte-Carlo simulation\, of which the results possess both a bias and a variance. In this talk\, I introduce the problems associated with t he simulation of the plasma edge region in a fusion reactor. I discuss how to couple a finite volume discretisation of the plasma equations with a M onte Carlo simulation of the neutral particles\, and show how the Monte Ca rlo errors affect convergence of steady state computations and reliability of gradient computations (necessary during optimization).\n LOCATION:https://researchseminars.org/talk/EDDy/15/ END:VEVENT BEGIN:VEVENT SUMMARY:Nikolay A. Gusev (Steklov Mathematical Institute) DTSTART;VALUE=DATE-TIME:20201119T091500Z DTEND;VALUE=DATE-TIME:20201119T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/16 DESCRIPTION:Title: On the structure of divergence-free vector measures on the plane\nby Nik olay A. Gusev (Steklov Mathematical Institute) as part of EDDy weekly semi nar\n\n\nAbstract\nThe talk will be devoted to the problem of decomposing a divergence-free vector measure into a family of measures induced by clos ed simple curves. We will discuss applications of such decompositions to r igidity properties of vector measures. Moreover\, we will demonstrate that in the two-dimensional case such decomposition is possible for any diverg ence-free vector measure. Ultimately we will discuss some connections betw een such decompositions and uniqueness of solutions of Cauchy problem for continuity equation. \n\nThe talk will be based on a recent joint work wit h P. Bonicatto.\n LOCATION:https://researchseminars.org/talk/EDDy/16/ END:VEVENT BEGIN:VEVENT SUMMARY:Peter Gladbach (University of Bonn) DTSTART;VALUE=DATE-TIME:20201203T091500Z DTEND;VALUE=DATE-TIME:20201203T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/17 DESCRIPTION:Title: Ho mogenization of continuous and discrete dynamic transport costs\nby Pe ter Gladbach (University of Bonn) as part of EDDy weekly seminar\n\n\nAbst ract\nWe consider the space of solutions to the continuity equation $\\fra c{\\mathrm{d}}{\\mathrm{d}t} u(t\,x)+\\mathrm{div} j(t\,x)=0$ equipped wit h convex action functionals $A(u\,j)$\, which encode microstructure in e.g . porous media or road networks. In the limit over long distances\, we com pute the effective transport cost in terms of Gamma-convergence\, with app lications to the porous media equation.\n LOCATION:https://researchseminars.org/talk/EDDy/17/ END:VEVENT BEGIN:VEVENT SUMMARY:Siegfried Müller (RWTH Aachen University) DTSTART;VALUE=DATE-TIME:20210114T091500Z DTEND;VALUE=DATE-TIME:20210114T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/18 DESCRIPTION:Title: Ad aptive multiresolution discontinuous Galerkin schemes for conservation law s\nby Siegfried Müller (RWTH Aachen University) as part of EDDy weekl y seminar\n\n\nAbstract\nSince the solution of hyperbolic conservation law s typically exhibits discontinuities\, efficient numerical schemes will em ploy locally refined discretizations that dynamically adapt to the solutio n. To trigger grid refinement and coarsening an appropriate indicator is n eeded. Due to the lack of a stable variational formulation for the problem at hand\, we apply a multiresolution analysis (MRA) based on multiwavelet s to perform data compression. The MRA is combined with a standard discont inuous Galerkin (DG) scheme to end up with an adaptive DG scheme. The fram ework of both the MRA and the DG scheme will be presented in some detail. The performance of the resulting scheme will be discussed by means of nume rous testcases in 1D and 2D for scalar as well as systems of conservation laws. We conclude with a brief outlook how to employ the adaptive framewor k for the investigation of stochastic conservation laws.\n LOCATION:https://researchseminars.org/talk/EDDy/18/ END:VEVENT BEGIN:VEVENT SUMMARY:Michael Herty (RWTH Aachen University) DTSTART;VALUE=DATE-TIME:20210121T091500Z DTEND;VALUE=DATE-TIME:20210121T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/19 DESCRIPTION:Title: Un certainty Quantification of Hyperbolic Problems and its Relation to Entrop y\nby Michael Herty (RWTH Aachen University) as part of EDDy weekly se minar\n\n\nAbstract\nWe will discuss recent results on intrusive stochasti c Galerkin expansion for hyperbolic transport problems with a focus on the role of entropy. Recent results on hyperbolicity and well-posedness of th e expanded hyperbolic systems will be presented and numerical results will be discussed. A focus is on $2\\times2$ nonlinear hyperbolic systems as a ppearing in shallow water or gas flow problems.\n LOCATION:https://researchseminars.org/talk/EDDy/19/ END:VEVENT BEGIN:VEVENT SUMMARY:Giovanni Samaey (Katholieke Universiteit Leuven) DTSTART;VALUE=DATE-TIME:20210408T081500Z DTEND;VALUE=DATE-TIME:20210408T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/20 DESCRIPTION:Title: Co upled finite-volume/Monte-Carlo methods for plasma edge simulation in fusi on reactors\nby Giovanni Samaey (Katholieke Universiteit Leuven) as pa rt of EDDy weekly seminar\n\n\nAbstract\nNuclear fusion reactor design cru cially depends on numerical simulation. The plasma can usually be modeled using fluid equations (for mass\, momentum and energy). However\, the reac tor also contains neutral (non-charged) particles (which are important in its operation)\, of which both the position and velocity distribution is i mportant. This leads to a Boltzmann-type transport equation that needs to be discretised with a Monte Carlo method. One then obtains a coupled finit e-volume/Monte-Carlo simulation\, of which the results possess both a bias and a variance. In this talk\, I introduce the problems associated with t he simulation of the plasma edge region in a fusion reactor. I discuss how to couple a finite volume discretisation of the plasma equations with a M onte Carlo simulation of the neutral particles\, and show how the Monte Ca rlo errors affect convergence of steady state computations and reliability of gradient computations (necessary during optimization).\n LOCATION:https://researchseminars.org/talk/EDDy/20/ END:VEVENT BEGIN:VEVENT SUMMARY:Luis Espath (RWTH Aachen University) DTSTART;VALUE=DATE-TIME:20210422T081500Z DTEND;VALUE=DATE-TIME:20210422T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/21 DESCRIPTION:Title: Ph ase-Field Gradient Theory: the geometry of gradient flows and its configur ation mechanics\nby Luis Espath (RWTH Aachen University) as part of ED Dy weekly seminar\n\n\nAbstract\nIn this talk\, I present a phase-field th eory for enriched continua\, exposing the geometry of gradient flows. We b egin the theory with a set of postulate balances on nonsmooth open surface s to characterize the fundamental fields. By considering nontrivial intera ctions inside the body\, we characterize the existence of a hypermicrotrac tion field\, a central aspect of this theory. Subject to thermodynamic con straints\, we develop a general set of constitutive relations for a phase- field model where its free-energy density depends on second gradients of t he phase field. To exemplify the usefulness of our theory\, we generalize two commonly used phase-field equations. We propose a generalized Swift– Hohenberg equation-a second-grade phase-field equation-and its conserved v ersion\, the generalized phase-field crystal equation-a conserved second-g rade phase-field equation. Furthermore\, we derive the configurational fie lds arising in this theory. Configurational forces are a generalization of Newtonian forces to describe the kinetics and kinematics of manifolds. We conclude with the presentation of a comprehensive and thermodynamically c onsistent set of boundary conditions.\n\nBased on: Espath & Calo\, Phase-f ield gradient theory. 2021\, ZAMP. DOI: 10.1007/s00033-020-01441-2.\n LOCATION:https://researchseminars.org/talk/EDDy/21/ END:VEVENT BEGIN:VEVENT SUMMARY:Flavien Léger (ENS Paris) DTSTART;VALUE=DATE-TIME:20210506T081500Z DTEND;VALUE=DATE-TIME:20210506T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/22 DESCRIPTION:Title: Fa st computations of Wasserstein gradient flows\nby Flavien Léger (ENS Paris) as part of EDDy weekly seminar\n\n\nAbstract\nWe will present a met hod to efficiently compute Wasserstein gradient flows. The approach is bas ed on a generalization of the back-and-forth method that we developed with Matt Jacobs to solve optimal transport problems. The gradient flow is evo lved by solving the dual problem to the JKO scheme: in general\, this dual problem is much better behaved than the primal problem. This allows to ef ficiently run large scale gradient flows simulations for a large class of internal energies including singular and non-convex energies. \n\nThis is joint work with Matt Jacobs and Wonjun Lee.\n LOCATION:https://researchseminars.org/talk/EDDy/22/ END:VEVENT BEGIN:VEVENT SUMMARY:François Bouchut (Université Gustave Eiffel\, Marne-la-Vallée) DTSTART;VALUE=DATE-TIME:20210520T081500Z DTEND;VALUE=DATE-TIME:20210520T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/23 DESCRIPTION:Title: En tropy satisfying multi well-balanced schemes for shallow water type system s\nby François Bouchut (Université Gustave Eiffel\, Marne-la-Vallée ) as part of EDDy weekly seminar\n\n\nAbstract\nMany systems of shallow wa ter type arise in the modeling of thin layer flows. The sources can take s everal forms\, and for each of them the question of building a well-balanc ed scheme comes out. We are interested here in the case when it is require d to build a numerical scheme that preserves two nontrivial families of st eady states at rest. Such a scheme can be called multi well-balanced. In o rder to apply the reconstruction method one has to manage with the two fam ilies at the same time. I will show how it can be possible while at the sa me time verifying a semi-discrete entropy inequality. Two examples of entr opy satisfying multi well-balanced schemes will be given: the shallow wate r MHD system with topography\, and a shallow water system with internal va riable and topography.\n LOCATION:https://researchseminars.org/talk/EDDy/23/ END:VEVENT BEGIN:VEVENT SUMMARY:Sara Daneri (Gran Sasso Science Institute\, l'Aquila) DTSTART;VALUE=DATE-TIME:20210610T081500Z DTEND;VALUE=DATE-TIME:20210610T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/24 DESCRIPTION:Title: On the sticky particle solutions to the pressureless Euler system in general dimension\nby Sara Daneri (Gran Sasso Science Institute\, l'Aquila) a s part of EDDy weekly seminar\n\n\nAbstract\nIn this talk we consider the pressureless Euler system in dimension greater than or equal to two. Sever al works have been devoted to the search of solutions which satisfy the fo llowing adhesion or sticky particle principle: if two particles of the flu id do not interact\, then they move freely keeping constant velocity\, oth erwise they join with velocity given by the balance of momentum. For initi al data given by a finite number of particles pointing each in a given dir ection\, in general dimension\, it is easy to show that a global sticky pa rticle solution always exists and is unique. In dimension one\, sticky par ticle solutions have been proved to exist and be unique. In dimension grea ter or equal than two\, it was shown that as soon as the initial data is n ot concentrated on a finite number of particles\, it might lead to non-exi stence or non-uniqueness of sticky particle solutions.\n\nIn collaboration with S. Bianchini\, we show that even though the sticky particle solution s are not well-posed for every measure-type initial data\, there exists a comeager set of initial data in the weak topology giving rise to a unique sticky particle solution. Moreover\, for any of these initial data the sti cky particle solution is unique also in the larger class of dissipative so lutions (where trajectories are allowed to cross) and is given by a trivia l free flow concentrated on trajectories which do not intersect. In partic ular for such initial data there is only one dissipative solution and its dissipation is equal to zero. Thus\, for a comeager set of initial data th e problem of finding sticky particle solutions is well-posed\, but the dyn amics that one sees is trivial. Our notion of dissipative solution is lagr angian and therefore general enough to include weak and measure-valued sol utions.\n LOCATION:https://researchseminars.org/talk/EDDy/24/ END:VEVENT BEGIN:VEVENT SUMMARY:Walter Schachermayer (University of Vienna) DTSTART;VALUE=DATE-TIME:20210701T081500Z DTEND;VALUE=DATE-TIME:20210701T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/25 DESCRIPTION:Title: Tr ajectorial Otto calculus\nby Walter Schachermayer (University of Vienn a) as part of EDDy weekly seminar\n\n\nAbstract\nWe revisit the variationa l characterization of diffusion as entropic gradient flux\, established by Jordan\, Kinderlehrer\, and Otto in \, and provide for it a probabilis tic interpretation based on stochastic calculus. It was shown in  that\ , for diffusions of Langevin-Smoluchowski type\, the Fokker-Planck probabi lity density flow minimizes the rate of relative entropy dissipation\, as measured by the distance traveled in the ambient space of probability meas ures with finite second moments\, in terms of the quadratic Wasserstein me tric. We obtain novel\, stochastic-process versions of these features\, va lid along almost every trajectory of the diffusive motion in both the forw ard and\, most transparently\, the backward\, directions of time\, using a very direct perturbation analysis. By averaging our trajectorial results with respect to the underlying measure on path space\, we establish the mi nimum rate of entropy dissipation along the Fokker-Planck flow and measure exactly the deviation from this minimum that corresponds to any given per turbation. As a bonus of the perturbation analysis\, we derive the so-call ed HWI inequality relating relative entropy (H)\, Wasserstein distance (W) and relative Fisher information (I).\n\nJoint work with I. Karatzas and B . Tschiderer.\n LOCATION:https://researchseminars.org/talk/EDDy/25/ END:VEVENT BEGIN:VEVENT SUMMARY:Felix Otto (MPI-MIS\, Leipzig) DTSTART;VALUE=DATE-TIME:20210819T083000Z DTEND;VALUE=DATE-TIME:20210819T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/26 DESCRIPTION:Title: Re gularity for optimal transportation and application to the matching proble m\nby Felix Otto (MPI-MIS\, Leipzig) as part of EDDy weekly seminar\n\ nLecture held in Aachen\, Templergraben 55\, lecture hall 2 (max. 33 perso ns\, so please announce participation by mail).\n\nAbstract\nThe optimal t ransportation of one measure into another\, leading to the notion of their Wasserstein distance\, is a problem in the calculus of variations with a wide range of applications. The regularity theory for the optimal map is s ubtle and was revolutionized by Caffarelli. This approach relies on the fa ct that the Euler-Lagrange equation of this variational problem is given b y the Monge-Ampère equation. The latter is a prime example of a fully non linear (degenerate) elliptic equation\, amenable to comparison principle a rguments.\n\nWe present a purely variational approach to the regularity th eory for optimal transportation\, introduced with M. Goldman and refined w ith M. Huesmann. Following De Giorgi’s philosophy for the regularity the ory of minimal surfaces\, it is based on the approximation of the displace ment by a harmonic gradient\, through the construction of a variational co mpetitor. This leads to a “one-step improvement lemma”\, and feeds int o a Campanato iteration on the $C^{1\,\\alpha}$-level for the optimal map\ , capitalizing on affine invariance.\n\nOn the one hand\, this allows to r e-prove the $\\varepsilon$-regularity result (Figalli-Kim\, De Philippis-F igalli) bypassing Caffarelli’s celebrated theory. This also extends to g eneral cost functions\, which is joint work with M. Prodhomme and T. Ried. \n\nOn the other hand\, due to its robustness and low-regularity approach\ , it can be used to study the popular problem of matching two independent Poisson point processes. For example\, it can be used to prove non-existen ce of a stationary cyclically monotone coupling\, which is joint work with M. Huesmann and F. Mattesini.\n LOCATION:https://researchseminars.org/talk/EDDy/26/ END:VEVENT BEGIN:VEVENT SUMMARY:Tim Laux (University of Bonn) DTSTART;VALUE=DATE-TIME:20210419T080000Z DTEND;VALUE=DATE-TIME:20210419T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/27 DESCRIPTION:Title: Di stributional solutions to mean curvature flow (1/3)\nby Tim Laux (Univ ersity of Bonn) as part of EDDy weekly seminar\n\n\nAbstract\nThis course aims at presenting some of the ideas behind the (conditional) existence an d (weak-strong) uniqueness theory for distributional solutions to mean cur vature flow. Focusing on the simple two-phase case\, i.e.\, the evolution of a closed hypersurface\, allows for a self-contained and concise present ation\, which is accessible for graduate students with some background in PDEs and basic measure theory.\n\nThe first lecture provides an overview\, basic examples\, exercises\, and some computational tools. In the second lecture\, distributional solutions and a (conditional) closure theorem are presented. If time permits\, a relation to the viscosity solution in the two-phase case will be explained. The last lecture is devoted to the weak- strong uniqueness principle in the class of distributional solutions.\n LOCATION:https://researchseminars.org/talk/EDDy/27/ END:VEVENT BEGIN:VEVENT SUMMARY:Tim Laux (University of Bonn) DTSTART;VALUE=DATE-TIME:20210420T080000Z DTEND;VALUE=DATE-TIME:20210420T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/28 DESCRIPTION:Title: Di stributional solutions to mean curvature flow (2/3)\nby Tim Laux (Univ ersity of Bonn) as part of EDDy weekly seminar\n\n\nAbstract\nThis course aims at presenting some of the ideas behind the (conditional) existence an d (weak-strong) uniqueness theory for distributional solutions to mean cur vature flow. Focusing on the simple two-phase case\, i.e.\, the evolution of a closed hypersurface\, allows for a self-contained and concise present ation\, which is accessible for graduate students with some background in PDEs and basic measure theory.\n\nThe first lecture provides an overview\, basic examples\, exercises\, and some computational tools. In the second lecture\, distributional solutions and a (conditional) closure theorem are presented. If time permits\, a relation to the viscosity solution in the two-phase case will be explained. The last lecture is devoted to the weak- strong uniqueness principle in the class of distributional solutions.\n LOCATION:https://researchseminars.org/talk/EDDy/28/ END:VEVENT BEGIN:VEVENT SUMMARY:Tim Laux (University of Bonn) DTSTART;VALUE=DATE-TIME:20210421T080000Z DTEND;VALUE=DATE-TIME:20210421T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/29 DESCRIPTION:Title: Di stributional solutions to mean curvature flow (3/3)\nby Tim Laux (Univ ersity of Bonn) as part of EDDy weekly seminar\n\n\nAbstract\nThis course aims at presenting some of the ideas behind the (conditional) existence an d (weak-strong) uniqueness theory for distributional solutions to mean cur vature flow. Focusing on the simple two-phase case\, i.e.\, the evolution of a closed hypersurface\, allows for a self-contained and concise present ation\, which is accessible for graduate students with some background in PDEs and basic measure theory.\n\nThe first lecture provides an overview\, basic examples\, exercises\, and some computational tools. In the second lecture\, distributional solutions and a (conditional) closure theorem are presented. If time permits\, a relation to the viscosity solution in the two-phase case will be explained. The last lecture is devoted to the weak- strong uniqueness principle in the class of distributional solutions.\n LOCATION:https://researchseminars.org/talk/EDDy/29/ END:VEVENT BEGIN:VEVENT SUMMARY:Matthias Röger (TU Dortmund) DTSTART;VALUE=DATE-TIME:20220217T091500Z DTEND;VALUE=DATE-TIME:20220217T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/30 DESCRIPTION:Title: A free boundary problem arising in a model of cell polarization\nby Matt hias Röger (TU Dortmund) as part of EDDy weekly seminar\n\n\nAbstract\nWe consider the polarization of a cell in response to an outer signal. The m athematical model consists of a diffusion equation in the inner volume cou pled to a reaction diffusion system on the cell membrane. In a certain asy mptotic limit we rigorously prove the convergence towards a generalized ob stacle problem. In term of this limit system we derive conditions for the onset of polarization.\n\n(This is joint work with Anna Logioti\, Barbara Niethammer and Juan Velazquez)\n LOCATION:https://researchseminars.org/talk/EDDy/30/ END:VEVENT BEGIN:VEVENT SUMMARY:Adrian Kolb (RWTH Aachen University) DTSTART;VALUE=DATE-TIME:20210923T081500Z DTEND;VALUE=DATE-TIME:20210923T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/31 DESCRIPTION:Title: Hi gher–dimensional deterministic formulation of hyperbolic conservation la ws with uncertain initial data\nby Adrian Kolb (RWTH Aachen University ) as part of EDDy weekly seminar\n\nLecture held in Templergraben 55\, lec ture hall I (max. 33 persons --> please announce participation via email t o inf.\n\nAbstract\nWe discuss random hyperbolic conservation laws and int roduce a novel formulation interpreting the stochastic variables as additi onal spatial dimensions with zero flux. The approach is compared with esta blished non–intrusive approaches to random conservation laws. In the sca lar case\, an entropy solution is proven to exist if and only if a random entropy solution for the original problem exists. Furthermore\, existence and numerical convergence of stochastic moments is established. Along with this\, the boundedness of the $L^1$-error of the stochastic moments by th e $L^1$-error of the approximation is proven. For the numerical approximat ion a Runge–Kutta discontinuous Galerkin method is employed and a multi –element stochastic collocation is used for the approximation of the sto chastic moments. By means of grid adaptation the computational effort is r educed in the spatial as well as in the stochastic directions\, simultaneo usly. Results on Burger’s and Euler equation are validated by several nu merical examples and compared to Monte Carlo simulations.\n LOCATION:https://researchseminars.org/talk/EDDy/31/ END:VEVENT BEGIN:VEVENT SUMMARY:Patrick Kidger (Oxford University) DTSTART;VALUE=DATE-TIME:20211014T081500Z DTEND;VALUE=DATE-TIME:20211014T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/32 DESCRIPTION:Title: On Neural Differential Equations\nby Patrick Kidger (Oxford University) as part of EDDy weekly seminar\n\n\nAbstract\nNeural Differential Equation s (NDEs) demonstrate that neural networks and differential equations are t wo sides of the same coin. Traditional parameterised differential equation s are a special case. Many popular neural network architectures (e.g. resi dual networks\, recurrent networks\, StyleGAN2\, coupling layers) are disc retisations. By treating differential equations as a learnt component of a differentiable computation graph\, then NDEs extend current physical mode lling techniques whilst integrating tightly with current deep learning pra ctice.\n\nNDEs offer high-capacity function approximation\, strong priors on model space\, the ability to handle irregular data\, memory efficiency\ , and a wealth of available theory on both sides. They are particularly su itable for tackling dynamical systems\, time series problems\, and generat ive problems.\n\nThis talk will offer a dedicated introduction to the topi c\, with examples including neural ordinary differential equations (e.g. t o model unknown physics)\, neural controlled differential equations (“co ntinuous recurrent networks”\; e.g. to model functions of time series)\, and neural stochastic differential equations (e.g. to model time series t hemselves). If time allows I will discuss other recent work\, such as nove l numerical neural differential equation solvers. This talk includes joint work with Ricky T. Q. Chen\, Xuechen Li\, James Foster\, and James Morril l.\n LOCATION:https://researchseminars.org/talk/EDDy/32/ END:VEVENT BEGIN:VEVENT SUMMARY:Martin Gugat (FAU Erlangen-Nürnberg) DTSTART;VALUE=DATE-TIME:20211104T091500Z DTEND;VALUE=DATE-TIME:20211104T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/33 DESCRIPTION:Title: Op timal control problems and the turnpike property\nby Martin Gugat (FAU Erlangen-Nürnberg) as part of EDDy weekly seminar\n\n\nAbstract\nOften i n dynamic optimal control problems with a long time horizon\, in a large n eighburhood of the middle of the time interval the optimal control and the optimal state are very close to the solution of a static control problem that is derived from the dynamic optimal control problems by omitting the information about the initial state and possibly a desired terminal state. \n\nThis can be shown in different situations\, for example under exact co ntrollability assumptions or with the assumption of nodal profile exact co ntrollability\, as studied by Tatsien Li and his group. In this situation\ , we obtain the turnpike property with interior decay\, that has been disc ussed in the paper Mathematics of Control\, Signals\, and Systems volume 3 3\, pages 237–258 (2021).\n LOCATION:https://researchseminars.org/talk/EDDy/33/ END:VEVENT BEGIN:VEVENT SUMMARY:Sebastian Reich (Universität Potsdam) DTSTART;VALUE=DATE-TIME:20210120T091500Z DTEND;VALUE=DATE-TIME:20210120T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/34 DESCRIPTION:Title: St atistical inverse problems and affine-invariant gradient flow structures i n the space of probability measures\nby Sebastian Reich (Universität Potsdam) as part of EDDy weekly seminar\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/EDDy/34/ END:VEVENT BEGIN:VEVENT SUMMARY:Jean Van Schaftingen (UCLouvain) DTSTART;VALUE=DATE-TIME:20210127T091500Z DTEND;VALUE=DATE-TIME:20210127T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/35 DESCRIPTION:Title: Si ngular harmonic maps from planar domains into manifolds through Ginzburg –Landau and p–harmonic relaxations\nby Jean Van Schaftingen (UCLou vain) as part of EDDy weekly seminar\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/EDDy/35/ END:VEVENT BEGIN:VEVENT SUMMARY:Sebastian Reich (Universität Potsdam) DTSTART;VALUE=DATE-TIME:20220113T091500Z DTEND;VALUE=DATE-TIME:20220113T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/36 DESCRIPTION:Title: St atistical inverse problems and affine-invariant gradient flow structures i n the space of probability measures\nby Sebastian Reich (Universität Potsdam) as part of EDDy weekly seminar\n\n\nAbstract\nStatistical inverse problems lead to complex optimisation and/or Monte Carlo sampling problem s. Gradient descent and Langevin samplers provide examples of widely used algorithms. In my talk\, I will discuss recent results on sampling algorit hms\, which can be viewed as interacting particle systems\, and their mean -field limits. I will highlight the geometric structure of these mean-fiel d equations within the\, so called\, Otto calculus\, that is\, a gradient flow structure in the space of probability measures. Affine invariance is an important outcome of recent work on the subject\, a property shared by Newton’s method but not by gradient descent or ordinary Langevin sampler s. The emerging affine invariant gradient flow structures allow us to disc uss coupling-based Bayesian inference methods\, such as the ensemble Kalma n filter\, as well as invariance-of-measure-based inference methods\, such as preconditioned Langevin dynamics\, within a common mathematical framew ork. Applications include nonlinear and logistic regression.\n LOCATION:https://researchseminars.org/talk/EDDy/36/ END:VEVENT BEGIN:VEVENT SUMMARY:Jean Van Schaftingen (UCLouvain) DTSTART;VALUE=DATE-TIME:20220120T091500Z DTEND;VALUE=DATE-TIME:20220120T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/37 DESCRIPTION:Title: Si ngular harmonic maps from planar domains into manifolds through Ginzburg –Landau and p–harmonic relaxations\nby Jean Van Schaftingen (UCLou vain) as part of EDDy weekly seminar\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/EDDy/37/ END:VEVENT BEGIN:VEVENT SUMMARY:Maria Westdickenberg (RWTH Aachen University) DTSTART;VALUE=DATE-TIME:20211028T081500Z DTEND;VALUE=DATE-TIME:20211028T093000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/38 DESCRIPTION:Title: Lo cal mins\, saddle points\, and Gamma-convergence in a Cahn-Hilliard proble m: insights and challenges\nby Maria Westdickenberg (RWTH Aachen Unive rsity) as part of EDDy weekly seminar\n\nLecture held in Lecture Hall III\ , Main building.\nAbstract: TBA\n\nThis lecture is talking place in-person at lecture hall III in the main building of RWTH Aachen University\, Temp lergraben 55\, Aachen\, Germany.\nAccess is granted to vaccinated or teste d people.\n LOCATION:https://researchseminars.org/talk/EDDy/38/ END:VEVENT BEGIN:VEVENT SUMMARY:Michael Westdickenberg (RWTH Aachen University) DTSTART;VALUE=DATE-TIME:20211202T091500Z DTEND;VALUE=DATE-TIME:20211202T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/39 DESCRIPTION:Title: Va riational principles in inference and learning\nby Michael Westdickenb erg (RWTH Aachen University) as part of EDDy weekly seminar\n\n\nAbstract\ nThis Ringvorlesung aims to give a very informal overview where variationa l principles play a role in inference problems and learning strategies. To pics include the maximum entropy principle\, (stochastic) gradient descent \, variational autoencoders\, and more.\n LOCATION:https://researchseminars.org/talk/EDDy/39/ END:VEVENT BEGIN:VEVENT SUMMARY:Michael Westdickenberg (RWTH Aachen University) DTSTART;VALUE=DATE-TIME:20211202T091500Z DTEND;VALUE=DATE-TIME:20211202T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/40 DESCRIPTION:Title: Va riational principles in inference and learning\nby Michael Westdickenb erg (RWTH Aachen University) as part of EDDy weekly seminar\n\n\nAbstract\ nThis Ringvorlesung aims to give a very informal overview where variationa l principles play a role in inference problems and learning strategies. To pics include the maximum entropy principle\, (stochastic) gradient descent \, variational autoencoders\, and more.\n LOCATION:https://researchseminars.org/talk/EDDy/40/ END:VEVENT BEGIN:VEVENT SUMMARY:Michael Herty (RWTH Aachen University) DTSTART;VALUE=DATE-TIME:20220127T091500Z DTEND;VALUE=DATE-TIME:20220127T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/42 DESCRIPTION:Title: Un certainty Quantificantion for Hyperbolic Equations\nby Michael Herty ( RWTH Aachen University) as part of EDDy weekly seminar\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/EDDy/42/ END:VEVENT BEGIN:VEVENT SUMMARY:Manuel Torrilhon (RWTH Aachen University) DTSTART;VALUE=DATE-TIME:20220203T091500Z DTEND;VALUE=DATE-TIME:20220203T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/43 DESCRIPTION:Title: On the Structure of Moment Equations in Kinetic Theory\nby Manuel Torril hon (RWTH Aachen University) as part of EDDy weekly seminar\n\nAbstract: T BA\n LOCATION:https://researchseminars.org/talk/EDDy/43/ END:VEVENT BEGIN:VEVENT SUMMARY:Umberto Hryniewicz (RWTH Aachen University) DTSTART;VALUE=DATE-TIME:20211216T091500Z DTEND;VALUE=DATE-TIME:20211216T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/44 DESCRIPTION:Title: Sy mplectic Field Theory\nby Umberto Hryniewicz (RWTH Aachen University) as part of EDDy weekly seminar\n\nLecture held in Lecture Hall III\, Main building.\nAbstract: TBA\n\nThis lecture is talking place in-person at lec ture hall III in the main building of RWTH Aachen University\, Templergrab en 55\, Aachen\, Germany. Access is granted to vaccinated or tested people .\n LOCATION:https://researchseminars.org/talk/EDDy/44/ END:VEVENT BEGIN:VEVENT SUMMARY:Siegfried Müller (RWTH Aachen University) DTSTART;VALUE=DATE-TIME:20220210T091500Z DTEND;VALUE=DATE-TIME:20220210T103000Z DTSTAMP;VALUE=DATE-TIME:20211209T081525Z UID:EDDy/45 DESCRIPTION:Title: On non-conservative products in nonlinear hyperbolic equations\nby Siegf ried Müller (RWTH Aachen University) as part of EDDy weekly seminar\n\nLe cture held in Lecture Hall III\, Main building.\n\nAbstract\nThere exist t wo-phase flow models such as Baer-Nunziato type models that exhibit non-co nservative products. Dal Maso\, Murat and LeFloch introduced a concept of weak stability of non-conservative products. The basics of their framework will be summarized in the presentation and how to apply it to the discret ization of nonlinear hyperbolic equations including non-conservative produ cts.This will lead to path-conservative schemes.\n LOCATION:https://researchseminars.org/talk/EDDy/45/ END:VEVENT END:VCALENDAR