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Carnegie Mellon Center for Nonlinear Analysis


A Kinetic Theory for Shock Collisions

Govind Menon
Brown University
Division of Applied Mathematics

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.