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 , , . 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 , , , . 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.