The relative entropy method for the stability of intermediate shock waves; the rich case

Denis  Serre; Alexis F. Vasseur

doi:10.3934/dcds.2016.36.4569

Article Contents

2016, Volume 36, Issue 8: 4569-4577. Doi: 10.3934/dcds.2016.36.4569

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The relative entropy method for the stability of intermediate shock waves; the rich case

Denis Serre^1, and
Alexis F. Vasseur^2,

1.
UMPA, ENS-Lyon 46, allée d'Italie 69364 LYON Cedex 07
2.
Department of Mathematics, University of Texas at Austin, 1 University Station – C1200, Austin, TX 78712-0257

Received: March 31, 2015

Revised: July 31, 2015

Published: May 2017

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Abstract

M.-J. Kang and one of us [2] developed a new version of the relative entropy method, which is efficient in the study of the long-time stability of extreme shocks. When a system of conservation laws is rich, we show that this can be adapted to the case of intermediate shocks.

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Mathematics Subject Classification: 35L65, 35L67.

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References

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