BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Johannes Zimmer (Technical University of Munich) DTSTART:20240506T134000Z DTEND:20240506T151000Z DTSTAMP:20260405T175115Z UID:NSCM/141 DESCRIPTION:Title: D eriving a GENERIC system from a Hamiltonian system\nby Johannes Zimmer (Technical University of Munich) as part of Nečas Seminar on Continuum Mechanics\n\nLecture held in Room K3\, Faculty of Mathematics and Physics \, Charles University\, Sokolovská 83 Prague 8..\n\nAbstract\nWe reconsi der the problem of coarse-graining infinite-dimensional Hamiltonian dynami cs to obtain a macroscopic system that includes dissipative mechanisms. In particular\, we study the thermodynamical implications concerning Hamilto nians\, energy\, and entropy and the induced geometric structures. The Ham iltonian model is described by a unitary group\, and is time-reversible. T he coarse-grained description includes dissipative effects\, is described by a contraction semigroup\, and is thus irreversible. The concepts of dil ations and contractions will be described as they provide a link between d issipative semigroups and unitary groups. The coarse-grained version will be shown to have GENERIC (General Equations for Non-Equilibrium Reversible Irreversibe Coupling) structure\, with conserved energy\, nondecreasing e ntropy and an Onsager operator describing the dissipation.\n\n This is joi nt work with Alex Mielke and Mark Peletier.\n LOCATION:https://researchseminars.org/talk/NSCM/141/ END:VEVENT END:VCALENDAR