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Open PDE & Analysis Seminar

Prof Quoc-Hung Nguyen (ShanghaiTech University)

Propagation of regularity for solutions of the transport equation with non-Lipschitz velocity field and their applications

Friday 12th June 2020, 2pm (Paris time)

Abstract : The aim of this talk is to give an overview of the quantitative side of the theory, focusing mostly on the problem of propagation of regularity for ODE flows and solutions to the transport equation and the advection diffusion equation. We present recent results, examples, applications and open problems. This is based on joint works in collaboration with Elia Bruè.

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Thomas Alazard (ENS Paris-Saclay)         Nicolas Burq (Orsay)         Iván Moyano (Nice)