Entropy regularization for weak KAM theory

Wed, 15/06/2011
13:30
Lawrence C Evans (University of California) OxPDE Special Seminar Add to calendar Gibson 1st Floor SR
I will discuss two of my papers that develop PDE methods for weak KAM theory, in the context of a singular variational problem that can be interpreted as a regularization of Mather's variational principle by an entropy term. This is, sort of, a statistical mechanics approach to the problem. I will show how the Euler-Lagrange PDE yield approximate changes to action-angle variables for the corresponding Hamiltonian dynamics.