Asymptotic stabilization of stationnary shock waves using a boundary feedback law

Abstract : In this paper we consider scalar conservation laws with a convex flux. Given a stationnary shock, we provide a feedback law acting at one boundary point such that this solution is now asymptotically stable in L 1-norm in the class of entropy solution.
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https://hal.archives-ouvertes.fr/hal-01685858
Contributor : Vincent Perrollaz <>
Submitted on : Wednesday, January 17, 2018 - 2:23:16 PM
Last modification on : Thursday, January 17, 2019 - 2:38:04 PM
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  • HAL Id : hal-01685858, version 1
  • ARXIV : 1801.06335

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Vincent Perrollaz. Asymptotic stabilization of stationnary shock waves using a boundary feedback law. 2018. 〈hal-01685858〉

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