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Asymptotic stability of scalar multi-D inviscid shock waves

Abstract : In several space dimensions, scalar shock waves between two constant states u ± are not necessarily planar. We describe them in detail. Then we prove their asymptotic stability, assuming that they are uniformly non-characteristic. Our result is conditional for a general flux, while unconditional for the multi-D Burgers equation.
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Preprints, Working Papers, ...
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-03169397
Contributor : Denis Serre <>
Submitted on : Monday, March 15, 2021 - 12:12:23 PM
Last modification on : Thursday, March 18, 2021 - 3:20:25 AM

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  • HAL Id : ensl-03169397, version 1
  • ARXIV : 2103.09615

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Denis Serre. Asymptotic stability of scalar multi-D inviscid shock waves. 2021. ⟨ensl-03169397⟩

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