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Asymptotic stabilization of stationnary shock waves using a boundary feedback law

Vincent Perrollaz

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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hal-01685858 , version 1 (17-01-2018)

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