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math.APJan 19, 2018
1
citations (OpenAlex)
authors
  • Vincent Perrollaz
institutions
  • Institut Denis Poisson
  • Université de Tours
  • Université d'Orléans
arXiv abstractPDF
paper

Asymptotic stabilization of stationnary shock waves using a boundary feedback law

arXiv:1801.06335

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.

Cited by in corpus (1)

  • Exact controllability to trajectories for entropy solutions to scalar conservation laws in several space dimensions
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