CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS
UNIVERZA V MARIBORU $\bullet$ UNIVERSITY OF MARIBOR
KREKOVA 2 $\bullet$ SI-2000 MARIBOR $\bullet$ SLOVENIA
Phone +(386) (2) 2355 350 and 2355 351 $\bullet$ Fax +(386) (2) 2355 360
Robnik@uni-mb.si $\bullet$ www.camtp.uni-mb.si
PROF.DR. MARKO ROBNIK, DIRECTOR

Seminarsko predavanje
Centra za uporabno matematiko in teoretično fiziko

Constructing accelerating orbits of Hamiltonian systems with formally gradient dynamics of the action

Professor Dr. Siniša Slijepčević
Department of Mathematics, University of Zagreb, Croatia

Abstract: Studying formally gradient dynamics of the action functional of a Hamiltonian system has its own merit. For example, for area-preserving twist diffeomorphisms, we study dissipative dynamics of Frenkel-Kontorova models, key models in solid-state physics. Arnold’s example of diffusion is associated to a deceptively simple-looking reaction-diffusion equation. Formally gradient dynamics has already been used to construct accelerating orbits, and invariant measures supported on accelerating orbits of Hamiltonian systems with 1 1/2 degrees of freedom [4], [5], [6]. Recently, a number of new tools to study formally gradient dynamics has been developed, related to the local energy flow, motivated by examples such as the Navier-Stokes equation, and some chemical reaction-diffusion equations [1], [2], [3], [7]. We outline an approach to apply these tools to construction of accelerating orbits of Hamiltonian systems.

Seminarsko predavanje bo v sredo 12. novembra 2014 ob 15:15 uri v seminarski sobi CAMTP, Krekova 2, pritličje desno. Vljudno vabljeni vsi zainteresirani, tudi študentje.

Prof.Dr. Marko Robnik
-- Direktor CAMTP --