HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
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.
Document type :
Journal articles
Complete list of metadata

Cited literature [25 references]  Display  Hide  Download

https://hal-ens-lyon.archives-ouvertes.fr/ensl-01413640
Contributor : de Philippis Guido Connect in order to contact the contributor
Submitted on : Saturday, December 10, 2016 - 1:37:55 PM
Last modification on : Wednesday, January 5, 2022 - 3:02:04 PM
Long-term archiving on: : Monday, March 27, 2017 - 3:25:45 PM

File

1509.08273v2.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

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, Springer Verlag, 2016, 221, pp.961 - 985. ⟨10.1007/s00205-016-0976-0⟩. ⟨ensl-01413640⟩

Share

Metrics

Record views

28

Files downloads

84