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Uniqueness of Weak Solutions to Systems of Conservation Laws

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Abstract

Consider a strictly hyperbolic system of conservation laws in one space dimension:

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 along space-like segments.

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Authors and Affiliations

  1. S.I.S.S.A., Via Beirut 4, Trieste 34014, Italy, , , , , , IT

    Alberto Bressan

  2. CMAP & CNRS, Ecole Polytechnique, 91128 Palaiseau, France, , , , , , FR

    Philippe LeFloch

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  1. Alberto Bressan
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  2. Philippe LeFloch
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(Accepted June 10, 1996)

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Bressan, A., LeFloch, P. Uniqueness of Weak Solutions to Systems of Conservation Laws. Arch Rational Mech Anal 140, 301–317 (1997). https://doi.org/10.1007/s002050050068

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  • DOI: https://doi.org/10.1007/s002050050068

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