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. © 2016, Springer-Verlag Berlin Heidelberg.
Structure of Solutions of Multidimensional Conservation Laws with Discontinuous Flux and Applications to Uniqueness
De Philippis, Guido;
2016-01-01
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. © 2016, Springer-Verlag Berlin Heidelberg.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2016_ Structure of Solutions of Multidimensional Conservation Laws with Discontinuous Flux and Applications to Uniqueness.pdf
non disponibili
Tipologia:
Versione Editoriale (PDF)
Licenza:
Non specificato
Dimensione
738.04 kB
Formato
Adobe PDF
|
738.04 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
