Some asymptotic profiles for the viscous Burgers equation with infinite mass
Eliot Pacherie1
1 CNRS and Cergy University
Séminaire Laurent Schwartz — EDP et applications (2023-2024), Exposé no. 16, 8 p.

This is a summary of the papers [6], [7] done in collaboration with Tej-Eddine Ghoul and Nader Masmoudi and [2] done in collaboration with Nicola de Nitti. We are interested in the long time behavior of solutions of the viscous Burgers equation for a class of initial data with infinite mass. We show that, up to a rescaling, they converge to a limit profile that has a discontinuity. We investigate this profile and explain how to understand this discontinuity point.

Publié le :
DOI : 10.5802/slsedp.167
Eliot Pacherie 1

1 CNRS and Cergy University 
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Eliot Pacherie. Some asymptotic profiles for the viscous Burgers equation with infinite mass. Séminaire Laurent Schwartz — EDP et applications (2023-2024), Exposé no. 16, 8 p. doi : 10.5802/slsedp.167. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.167/

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