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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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2024-07-01
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Series: | Comptes Rendus. Mathématique |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.553/ |
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