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arxiv: 1801.06335 · v1 · pith:ECMEO3ANnew · submitted 2018-01-19 · 🧮 math.AP · math.OC

Asymptotic stabilization of stationnary shock waves using a boundary feedback law

classification 🧮 math.AP math.OC
keywords boundaryfeedbackshocksolutionstationnaryactingasymptoticasymptotically
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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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