A Kinetic Theory for Shock Collisions
Govind Menon
Brown University
Division of Applied Mathematics
menonatdam.brown.edu
Govind Menon
Brown University
Division of Applied Mathematics
menonatdam.brown.edu
Abstract: We derive kinetic equations that describe shock coalescence in a scalar conservation law with convex flux and random initial data. Remarkably, these equations have an integrable structure and striking exact solutions.
This talk is based on joint work with Bob Pego and Ravi Sriniva.