Entropy regularization for weak KAM theory

15 June 2011
13:30
Lawrence C Evans
Abstract
<p>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.</p>
  • OxPDE Special Seminar