Nonlinear asymptotic stability in $L^\infty $ for Lipschitz solutions to scalar conservation laws

In this note, we show nonlinear stability in $L^\infty $ for Lipschitz solutions to genuinely nonlinear, multi-dimensional scalar conservation laws. As an application, we are able to compute algebraic decay rates of the $L^\infty $ norm of perturbations of global-in-time Lipschitz solutions, includi...

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Bibliographic Details
Main Author: Golding, William
Format: Article
Language:English
Published: Académie des sciences 2024-07-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.553/
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