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.
1997
140
4
301
317
Bressan, Alberto; Lefloch, P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/30473
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