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Structure of solutions of multidimensional conservation laws with discontinuous flux and applications to uniqueness

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.

preprint2016arXivOpen access
Graziano CrastaVirginia De CiccoGuido De PhilippisFrancesco Ghiraldin
math.AP
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Open access4 authors1 topic
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Graziano CrastaVirginia De CiccoGuido De PhilippisFrancesco Ghiraldin

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