Isospectral flows for shock clustering and Burgers turbulence
- Date: Friday 29 June 2018, 16:00 – 17:00
- Location: Mathematics Level 8, MALL 1, School of Mathematics
- Type: Seminars, Applied Mathematics, Integrable Systems
- Cost: free
Luen-Chau Li (Penn State University) , IS Seminar Series
In recent work, Menon and Srinivasan showed that the study of scalar
hyperbolic conservation laws with a certain class of random initial
conditions give rise to isospectral flows.
In this talk, I will describe progress made in understanding these Lax equations
in the last few years. In particular, I will show that if the initial process is
a pure-jump Markov process which can only assume a finite number of states, the
flow is conjugate to a straight line motion, and the equation is exactly solvable.