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arXiv · 1801.06335

Asymptotic stabilization of stationnary shock waves using a boundary feedback law

Vincent Perrollaz
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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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Vincent Perrollaz. 2018-01-19. Asymptotic stabilization of stationnary shock waves using a boundary feedback law. https://arxiv.org/abs/1801.06335

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