The University of Arizona

Kinetics of shock clustering with piecewise-deterministic data

Kinetics of shock clustering with piecewise-deterministic data

Series: Mathematical Physics and Probability Seminar
Location: Math 402
Presenter: David Kaspar, Arizona State University

Statistical descriptions of solutions to Burgers' equation
with various Markov process initial data have been the subject of
several investigations in the 1990s, culminating in a remarkable work of Bertoin showing that Levy processes are preserved, together with a characterization of the evolution of the associated jump measures.  Menon and Srinivasan conjectured a similar result for more general scalar conservation laws.  We discuss a kinetic statistical description of solutions for scalar conservation laws with certain piecewise-deterministic Markov initial data.  This work is joint with Fraydoun Rezakhanlou (UC Berkeley).

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