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Article Dans Une Revue Communications in Partial Differential Equations Année : 2006

Existence and uniqueness of entropy solution of scalar conservation laws with a flux function involving discontinuous coefficients

Résumé

In this paper, the question of existence and uniqueness for entropy solutions of scalar conservation laws with a flux function which is discontinuous with respect to the space variable is investigated. We show that no extra assumption of convexity or genuine non-linearity with respect to the state variable of the flux function is required for the problem to be well-posed and prove it. The proof uses a kinetic formulation of the conservation law.
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Dates et versions

hal-00447307 , version 1 (14-01-2010)

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Florencce Bachmann, Julien Vovelle. Existence and uniqueness of entropy solution of scalar conservation laws with a flux function involving discontinuous coefficients. Communications in Partial Differential Equations, 2006, 31 (3), pp.371-395. ⟨10.1080/03605300500358095⟩. ⟨hal-00447307⟩
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