ERC Workshop on Optimal Transportation and Applications
timetable:
Wed 13 Oct, 16:50 - 17:40, Aula Dini
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A Weak KAM Theorem for the Nonlinear Vlasov System
speaker: Adrian Tudorasco (West Virginia University)abstract: We prove a Weak KAM theorem for an infinite dimensional Hamiltonian system associated with the nonlinear Vlasov system with periodic potential. We look for rearrangement indifferent, periodic viscosity solutions for the appropriate stationary Hamilton-Jacobi equation. The rearrangement indifference property imposes a serious restriction on the class of ``rotation numbers'' (which are, in fact, functions due to the infinite-dimensional setting): they are the constant functions. The special structure of the two-particle interaction Lagrangian associated to the problem allows for a ``finite-dimensions extended to infinite-dimensions'' kind of approach. Based on joint work with Wilfrid Gangbo.
timetable:
Wed 13 Oct, 16:50 - 17:40, Aula Dini
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