We prove existence and uniqueness for a class of signed Radon measure-valued entropy solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one space dimension. The initial data of the problem is a finite superposition of Dirac masses, whereas the flux is Lipschitz continuous and bounded. The solution class is determined by an additional condition which is needed to prove uniqueness.
Signed Radon measure-valued solutions of flux saturated scalar conservation laws
Smarrazzo, Flavia;
2020-01-01
Abstract
We prove existence and uniqueness for a class of signed Radon measure-valued entropy solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one space dimension. The initial data of the problem is a finite superposition of Dirac masses, whereas the flux is Lipschitz continuous and bounded. The solution class is determined by an additional condition which is needed to prove uniqueness.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
20.500.12610-78723.pdf
solo utenti autorizzati
Tipologia:
Versione Editoriale (PDF)
Licenza:
Non specificato
Dimensione
496.87 kB
Formato
Adobe PDF
|
496.87 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.
