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Journal articles
Structure of Solutions of Multidimensional Conservation Laws with Discontinuous Flux and Applications to Uniqueness
Abstract : 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.
Cited literature [25 references]
https://hal-ens-lyon.archives-ouvertes.fr/ensl-01413640
Contributor : de Philippis Guido <>
Submitted on : Saturday, December 10, 2016 - 1:37:55 PM
Last modification on : Tuesday, November 19, 2019 - 10:17:31 AM
Document(s) archivé(s) le : Monday, March 27, 2017 - 3:25:45 PM
Contributor : de Philippis Guido <>
Submitted on : Saturday, December 10, 2016 - 1:37:55 PM
Last modification on : Tuesday, November 19, 2019 - 10:17:31 AM
Document(s) archivé(s) le : Monday, March 27, 2017 - 3:25:45 PM
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1509.08273v2.pdf
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