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Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2016

Structure of Solutions of Multidimensional Conservation Laws with Discontinuous Flux and Applications to Uniqueness

Résumé

We investigate the structure of solutions of conservation laws with discontinuous flux under quite general assumption on the flux. We show that any entropy solution admits traces on the discontinuity set of the coefficients and we use this to prove the validity of a generalized Kato inequality for any pair of solutions. Applications to uniqueness of solutions are then given.
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Dates et versions

ensl-01413640 , version 1 (10-12-2016)

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Graziano Crasta, Virginia de Cicco, Guido de Philippis, Francesco Ghiraldin. Structure of Solutions of Multidimensional Conservation Laws with Discontinuous Flux and Applications to Uniqueness. Archive for Rational Mechanics and Analysis, 2016, 221, pp.961 - 985. ⟨10.1007/s00205-016-0976-0⟩. ⟨ensl-01413640⟩
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