Consider a strictly hyperbolic n x n system of conservation laws in one space dimension: u(t) + F(u)(x) = 0. (*) Relying on the existence of the Standard Riemann Semigroup generated by (*), we establish the uniqueness of entropy-admissible weak solutions to the Cauchy problem, under a mild assumption on the variation of u along spacelike segments.
Uniqueness of weak solutions to systems of conservation laws / Bressan, Alberto; Lefloch, P.. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 140:4(1997), pp. 301-317. [10.1007/s002050050068]
Uniqueness of weak solutions to systems of conservation laws
Bressan, Alberto;
1997-01-01
Abstract
Consider a strictly hyperbolic n x n system of conservation laws in one space dimension: u(t) + F(u)(x) = 0. (*) Relying on the existence of the Standard Riemann Semigroup generated by (*), we establish the uniqueness of entropy-admissible weak solutions to the Cauchy problem, under a mild assumption on the variation of u along spacelike segments.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.