JournalsaihpcVol. 30, No. 5pp. 879–915

Asymptotic stabilization of entropy solutions to scalar conservation laws through a stationary feedback law

  • Vincent Perrollaz

    Université Pierre et Marie Curie – Paris 6, UMR 7598, Laboratoire Jacques-Louis Lions, Paris, F-75005, France
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Abstract

In this paper, we study the problem of asymptotic stabilization by closed loop feedback for a scalar conservation law with a convex flux and in the context of entropy solutions. Besides the boundary data, we use an additional control which is a source term acting uniformly in space.

Cite this article

Vincent Perrollaz, Asymptotic stabilization of entropy solutions to scalar conservation laws through a stationary feedback law. Ann. Inst. H. Poincaré Anal. Non Linéaire 30 (2013), no. 5, pp. 879–915

DOI 10.1016/J.ANIHPC.2012.12.003