BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Walter Strauss (Brown University)
DTSTART;VALUE=DATE-TIME:20200915T190000Z
DTEND;VALUE=DATE-TIME:20200915T200000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/1
DESCRIPTION:Title: I
ntroduction to steady water waves\nby Walter Strauss (Brown University
) as part of Online Northeast PDE and Analysis Seminar\n\n\nAbstract\nThis
is a very basic introduction. No previous knowledge of water waves is re
quired. I will mention the high points of the history of water wave theory
. Then the fundamental equations inside the water and on the free boundar
y will be discussed. Finally\, many important directions of current resear
ch will be briefly outlined.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:John Toland (University of Bath)
DTSTART;VALUE=DATE-TIME:20200922T190000Z
DTEND;VALUE=DATE-TIME:20200922T200000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/2
DESCRIPTION:Title: V
ariational aspects of steady irrotational water wave theory\nby John T
oland (University of Bath) as part of Online Northeast PDE and Analysis Se
minar\n\n\nAbstract\nAmong the many modern approaches to abstract nonlinea
r problems\, those based on the implicit function theorem\, real-analytic
function theory\, Nash-Moser theory and topological degree theory have mad
e significant contributions to water-wave theory in recent years. However\
, the same cannot be said of variational methods (min/max\, mountain-pass\
, Morse index\, Lyusternik-Schnirelman genus etc) even though\, when the v
iscosity of water is ignored and the flow is assumed to be irrotational\,
there are several attractive ways to formulate the equations of wave motio
n variationally. On the 100th anniversary of the first proof that the equa
tions of motion have non-zero\, small-amplitude solutions\, this talk will
briefly survey these issues and advocate variational methods for analyzin
g water waves that are 2π-periodic in space.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Susanna Haziot (University of Vienna)
DTSTART;VALUE=DATE-TIME:20200929T190000Z
DTEND;VALUE=DATE-TIME:20200929T200000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/3
DESCRIPTION:Title: R
otational water waves\nby Susanna Haziot (University of Vienna) as par
t of Online Northeast PDE and Analysis Seminar\n\n\nAbstract\nOne signific
ant difficulty of working with water waves is that the boundary of the flu
id domain itself is an unknown. I will begin with a brief presentation of
the steady water wave problem for waves with vorticity. Subsequently\, I w
ill review some existence results as well as present recent research which
involve different methods for transforming the fluid domain into a fixed
domain.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vera Mikyoung Hur (University of Illinois at Urbana-Champaign)
DTSTART;VALUE=DATE-TIME:20201013T190000Z
DTEND;VALUE=DATE-TIME:20201013T200000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/4
DESCRIPTION:Title: S
tokes waves in constant vorticity flows\nby Vera Mikyoung Hur (Univers
ity of Illinois at Urbana-Champaign) as part of Online Northeast PDE and A
nalysis Seminar\n\n\nAbstract\nI will discuss recent progress on the numer
ical computation of Stokes waves in constant vorticity flows. Based on a B
abenko-kind equation\, our result improves those in the 1980s by Simmen an
d Saffman\, Teles da Silva and Peregrine. Notably\, it reveals a plethora
of new solutions: Crapper's exact solution (even though there is no surfac
e tension)\, a fluid disk in rigid body rotation\, etc. I will also discus
s the effects of vorticity on the extreme wave\, particularly\, the maximu
m slope for an almost extreme wave. I will discuss some open problems\, bo
th analytical and numerical.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Samuel Walsh (University of Missouri)
DTSTART;VALUE=DATE-TIME:20201027T190000Z
DTEND;VALUE=DATE-TIME:20201027T200000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/5
DESCRIPTION:Title: W
ater waves with density stratification or localized vorticity\nby Samu
el Walsh (University of Missouri) as part of Online Northeast PDE and Anal
ysis Seminar\n\n\nAbstract\nThis talk will serve as a general introduction
to two areas of active research in water waves. In the ocean\, the presen
ce of salt and temperature gradients can lead to substantial stratificatio
n of the density. This phenomenon is well-known to have significant physic
al implications. Indeed\, it makes possible enormous ``internal waves'' th
at can dwarf even the largest waves seen on the surface. We will present a
n overview of the mathematical work on this subject\, focusing primarily o
n recent results regarding the existence of large-amplitude solitary strat
ified waves.\n\nThe second part of the talk will discuss waves with locali
zed distributions of vorticity. These include water waves with submerged p
oint vortices\, dipoles\, vortex patches\, and those exhibiting a vortex s
pike.\n\nThis is joint work with Robin Ming Chen\, Mats Ehrnström\, Jalal
Shatah\, Kristoffer Varholm\, Erik Wahlén\, Miles H. Wheeler\, and Chon
gchun Zeng.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miles Wheeler (University of Bath)
DTSTART;VALUE=DATE-TIME:20201020T190000Z
DTEND;VALUE=DATE-TIME:20201020T200000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/6
DESCRIPTION:Title: S
olitary waves and fronts\nby Miles Wheeler (University of Bath) as par
t of Online Northeast PDE and Analysis Seminar\n\n\nAbstract\nI will give
a general introduction to the theory of solitary water waves\, that is tra
veling waves whose surfaces converge to some asymptotic height at infinity
. In many respects\, the theory for solitary waves is more difficult and m
ore subtle than that for periodic waves. Yet in other ways the problem is
much simpler\, and indeed many results for solitary waves are stronger tha
n their periodic counterparts. \n\nBeginning with the linear theory\, or p
erhaps more accurately the lack of a linear theory\, I will expla
in how small-amplitude waves can be rigorously constructed via a center ma
nifold reduction. Next I will collect a series of results which together g
uarantee that any solitary wave\, regardless of amplitude\, is symmetric a
nd decreasing about a central crest and travels at a “supercritical” s
peed $c>\\sqrt{gd}$. Finally\, I will explain how the significant obstacle
s to applying global bifurcation techniques can be overcome by taking adva
ntage of the above properties together with the nonexistence of f
ront-type solutions. This approach is surprisingly robust\, and has recent
ly been generalized to apply to front-type solutions in addition to solita
ry waves.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erik Wahlén (Lund University)
DTSTART;VALUE=DATE-TIME:20201103T200000Z
DTEND;VALUE=DATE-TIME:20201103T210000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/7
DESCRIPTION:Title: T
hree-dimensional water waves\nby Erik Wahlén (Lund University) as par
t of Online Northeast PDE and Analysis Seminar\n\n\nAbstract\nThe other ta
lks in the series have concentrated on two-dimensional water waves. In my
talk I will give an overview of the considerably younger three-dimensional
theory. In the irrotational case\, there is by now a rich existence theor
y for small-amplitude solutions. These can have different behaviours in di
fferent horizontal directions\, e.g. periodic or solitary. In the talk I w
ill mainly focus on waves which are "doubly periodic"\, that is\, periodic
in two different horizontal directions\, or "fully localised"\, that is\,
solitary in all horizontal directions. As we will see\, surface tension p
lays a much more crucial role than in 2D. I will also discuss some recent
work on 3D water waves with vorticity.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rafael de la Llave (Georgia Tech)
DTSTART;VALUE=DATE-TIME:20201111T200000Z
DTEND;VALUE=DATE-TIME:20201111T210000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/8
DESCRIPTION:Title: C
onstructive methods for the long term analysis of dynamics\nby Rafael
de la Llave (Georgia Tech) as part of Online Northeast PDE and Analysis Se
minar\n\n\nAbstract\nThe long term behavior of dynamical systems is an imp
ortant practical problem in technology and a deep challenge for mathemati
cs. In this set of lectures\, we plan to present some ideas of a
concrete methodology that can be used to study the long term dynamics of
some given systems. The key idea is to:
\n- Identify some geometr
ic structures that imply interesting long term behaviors.
\n- Devel
op rigorous methods that\, with a finite computations can establish the ex
istence of these objects in concrete systems.
\n
\n
We can on
ly cover some generalities and some vignettes that illustrate these progra
m both in finite dimensional problems and in infinite dimensional systems.
This first lecture will present some of the main tools from analysis and
topology.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rafael de la Llave (Georgia Tech)
DTSTART;VALUE=DATE-TIME:20201118T200000Z
DTEND;VALUE=DATE-TIME:20201118T210000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/9
DESCRIPTION:Title: H
ard implicit function theorems\nby Rafael de la Llave (Georgia Tech) a
s part of Online Northeast PDE and Analysis Seminar\n\n\nAbstract\nThe mai
n idea is the Newton method with iteration. We will discuss the conjugac
y of circle maps\, following Moser's Pisa Lectures. A proof of the theore
m will be given along with numerical implementation.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Haro (University of Barcelona)
DTSTART;VALUE=DATE-TIME:20201202T200000Z
DTEND;VALUE=DATE-TIME:20201202T210000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/10
DESCRIPTION:Title:
Computer-assisted applications of KAM theory\nby Alex Haro (University
of Barcelona) as part of Online Northeast PDE and Analysis Seminar\n\n\nA
bstract\nStability of Hamiltonian systems is relevant to problems from cel
estial mechanics\, particle accelerators\, plasma confinement\, quasigeost
rophic flows\, etc. Motivated by such applications\, one is interested in
detecting mechanisms of stability in concrete models\, and in providing qu
antitative information on the stable trajectories. KAM theory concerns the
existence of quasi-periodic solutions\, that are geometrically described
as orbits lying inside invariant tori.\n
\n
In this lecture we
will overview a methodology for rigorously detecting quasi-periodic orbit
s in Hamiltonian systems. The methodology involves analytical\, geometrica
l and computational methods and covers from pen and paper rigorous results
to computer-assisted rigorous results\, passing through algorithms (and t
he study of their convergence) and implementations. We will present some
ideas for performing computer assisted proofs in this context. In particu
lar\, we will see FFT-methods for representing rigorously real-analytic pe
riodic functions\, that are used to parameterize tori in phase space. We w
ill see some applications in this context. We will finish the lecture wit
h some other applications and further topics.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marian Gidea (Yeshiva University)
DTSTART;VALUE=DATE-TIME:20201209T200000Z
DTEND;VALUE=DATE-TIME:20201209T210000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/11
DESCRIPTION:Title:
Topological methods and Hamiltonian instability\nby Marian Gidea (Yesh
iva University) as part of Online Northeast PDE and Analysis Seminar\n\n\n
Abstract\nInstability of Hamiltonian systems is relevant to problems from
celestial mechanics\, particle accelerators\, plasma confinement\, quasige
ostrophic flows\, etc. Motivated by such applications\, one is interested
in detecting mechanisms of instability in concrete models\, and in provid
ing quantitative information on the unstable trajectories.\n
\n
We will describe a topological method based on `correctly aligned windows
'\, which can be used to derive properties concerning the long-term behavi
or of dynamical systems. In particular\, this method enables one to dete
ct topological horseshoes. The method can be implemented in computer assis
ted proofs\, via validated numerical computations. We will show applicati
on of this method to Hamiltonian instability. Concrete examples will incl
ude mechanical systems consisting of rotators and penduli\, and the thre
e-body problem in celestial mechanics.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jiaqi Yang (Georgia Tech)
DTSTART;VALUE=DATE-TIME:20201216T200000Z
DTEND;VALUE=DATE-TIME:20201216T210000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/12
DESCRIPTION:Title:
Invariant objects of infinite dimensional systems\nby Jiaqi Yang (Geor
gia Tech) as part of Online Northeast PDE and Analysis Seminar\n\n\nAbstra
ct\nTo find invariant objects with specified dynamics (e.g. periodic\, qua
si-periodic\, etc.)\, we consider the space of functions in the correspond
ing class and impose that they are solutions. This leads to solving functi
onal equations. One advantage of this method is that it does not need to
study the evolution\, which in some infinite dimensional problems is probl
ematic. We will present some examples of solutions of special kinds in sta
te dependent delay equations\, for which even the natural phase space is d
ebatable.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Patrick Flynn\, Milen Ivanov\, and Stefano Pasquali
DTSTART;VALUE=DATE-TIME:20201217T190000Z
DTEND;VALUE=DATE-TIME:20201217T210000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/13
DESCRIPTION:Title:
ONEPAS Young Researcher Showcase\nby Patrick Flynn\, Milen Ivanov\, an
d Stefano Pasquali as part of Online Northeast PDE and Analysis Seminar\n\
nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ONEPAS/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Israel Michael Sigal (University of Toronto)
DTSTART;VALUE=DATE-TIME:20210211T200000Z
DTEND;VALUE=DATE-TIME:20210211T210000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/14
DESCRIPTION:Title:
The partial differential equations of quantum mechanics\nby Israel Mic
hael Sigal (University of Toronto) as part of Online Northeast PDE and Ana
lysis Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ONEPAS/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stephen Gustafson (University of British Columbia)
DTSTART;VALUE=DATE-TIME:20210218T190000Z
DTEND;VALUE=DATE-TIME:20210218T200000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/15
DESCRIPTION:Title:
Solitons and dynamics of Landau-Lifshitz equations in 2D\nby Stephen G
ustafson (University of British Columbia) as part of Online Northeast PDE
and Analysis Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ONEPAS/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Avy Soffer (Rutgers University)
DTSTART;VALUE=DATE-TIME:20210225T200000Z
DTEND;VALUE=DATE-TIME:20210225T210000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/16
DESCRIPTION:Title:
Evolution of NLS with bounded data\nby Avy Soffer (Rutgers University)
as part of Online Northeast PDE and Analysis Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ONEPAS/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Loss (Georgia Tech)
DTSTART;VALUE=DATE-TIME:20210304T200000Z
DTEND;VALUE=DATE-TIME:20210304T210000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/17
DESCRIPTION:Title:
Symmetry and symmetry breaking in functional inequalities\nby Michael
Loss (Georgia Tech) as part of Online Northeast PDE and Analysis Seminar\n
\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ONEPAS/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ákos Nagy (University of California\, Santa Barbara)
DTSTART;VALUE=DATE-TIME:20210311T200000Z
DTEND;VALUE=DATE-TIME:20210311T210000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/18
DESCRIPTION:Title:
Novel solutions in Ginzburg–Landau theory\nby Ákos Nagy (University
of California\, Santa Barbara) as part of Online Northeast PDE and Analys
is Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ONEPAS/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Hislop (University of Kentucky)
DTSTART;VALUE=DATE-TIME:20210318T190000Z
DTEND;VALUE=DATE-TIME:20210318T200000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/19
DESCRIPTION:Title:
Eigenvalue statistics for some random Schrödinger operators and random ba
nd matrices\nby Peter Hislop (University of Kentucky) as part of Onlin
e Northeast PDE and Analysis Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ONEPAS/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jacob Shapiro (Princeton)
DTSTART;VALUE=DATE-TIME:20210325T190000Z
DTEND;VALUE=DATE-TIME:20210325T200000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/20
DESCRIPTION:Title:
Tight-binding limits in strong magnetic fields and the integer quantum Hal
l effect\nby Jacob Shapiro (Princeton) as part of Online Northeast PDE
and Analysis Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ONEPAS/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Irene Fonseca (Carnegie Mellon)
DTSTART;VALUE=DATE-TIME:20210401T163000Z
DTEND;VALUE=DATE-TIME:20210401T173000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/21
DESCRIPTION:Title:
The mathematics of thin structures\nby Irene Fonseca (Carnegie Mellon)
as part of Online Northeast PDE and Analysis Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ONEPAS/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gilles Francfort (Université Paris XIII)
DTSTART;VALUE=DATE-TIME:20210408T163000Z
DTEND;VALUE=DATE-TIME:20210408T173000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/22
DESCRIPTION:Title:
Beyond membranes\nby Gilles Francfort (Université Paris XIII) as part
of Online Northeast PDE and Analysis Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ONEPAS/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marta Lewicka (University of Pittsburgh)
DTSTART;VALUE=DATE-TIME:20210415T163000Z
DTEND;VALUE=DATE-TIME:20210415T173000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/23
DESCRIPTION:Title:
Geometry and morphogenesis: problems and prospects\nby Marta Lewicka (
University of Pittsburgh) as part of Online Northeast PDE and Analysis Sem
inar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ONEPAS/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giovanni Di Fratta (TU Wien)
DTSTART;VALUE=DATE-TIME:20210422T163000Z
DTEND;VALUE=DATE-TIME:20210422T173000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/24
DESCRIPTION:Title:
Micromagnetics of curved thin films\nby Giovanni Di Fratta (TU Wien) a
s part of Online Northeast PDE and Analysis Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ONEPAS/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maria Giovanna Mora (University of Pavia)
DTSTART;VALUE=DATE-TIME:20210429T163000Z
DTEND;VALUE=DATE-TIME:20210429T173000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/25
DESCRIPTION:Title:
The energy of a Möbius strip\nby Maria Giovanna Mora (University of P
avia) as part of Online Northeast PDE and Analysis Seminar\n\nAbstract: TB
A\n
LOCATION:https://researchseminars.org/talk/ONEPAS/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jean-François Babadjian (Université Paris Saclay)
DTSTART;VALUE=DATE-TIME:20210506T163000Z
DTEND;VALUE=DATE-TIME:20210506T173000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/26
DESCRIPTION:Title:
Reduced models for linearly elastic thin films allowing for fracture\, deb
onding or delamination\nby Jean-François Babadjian (Université Paris
Saclay) as part of Online Northeast PDE and Analysis Seminar\n\nAbstract:
TBA\n
LOCATION:https://researchseminars.org/talk/ONEPAS/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Muratov (New Jersey Institute of Technology)
DTSTART;VALUE=DATE-TIME:20210513T163000Z
DTEND;VALUE=DATE-TIME:20210513T173000Z
DTSTAMP;VALUE=DATE-TIME:20240328T183419Z
UID:ONEPAS/27
DESCRIPTION:by Cyrill Muratov (New Jersey Institute of Technology) as part
of Online Northeast PDE and Analysis Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ONEPAS/27/
END:VEVENT
END:VCALENDAR