Lawrence C. Evans, University of California at Berkeley

Kinetic formulations of Nonlinear PDE.

This series of four lectures will be a quick introduction to the method of kinetic formulation for certain nonlinear transport equations, as introduced by Lions, DiPerna, Perthame, Tadmor, Souganidis, etc.

Lecture 1: Introduction: kinetic models and entropies

Lecture 2: Velocity space averaging

Lecture 3: Uniqueness and related issues

Lecture 4: Systems

I will mostly follow the new book by Perthame,  Kinetic Formulation of Conservation Laws, Oxford U. Press, 2002.