Scalar conservation laws with nonlinear multiplicative rough signal

Panagiotis E. Souganidis (Chicago, USA)

I will present a recently developed theory for scalar conservation laws with nonlinear multiplicative rough signal dependence. I will describe the difficulties, introduce the notion of pathwise entropy/kinetic solution and its well-posedness. I will also talk about the long time behavior of the solutions as well as some regularization by noise type results.

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