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Obstacle problems for scalar conservation laws

Laurent Levi — 2001

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

In this paper we are interested in bilateral obstacle problems for quasilinear scalar conservation laws associated with Dirichlet boundary conditions. Firstly, we provide a suitable entropy formulation which ensures uniqueness. Then, we justify the existence of a solution through the method of penalization and by referring to the notion of entropy process solution due to specific properties of bounded sequences in L . Lastly, we study the behaviour of this solution and its stability properties with...

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H. Laurent — 1875

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

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