Preprint 1996-014

Uniqueness of Weak Solutions to Systems of Conservation Laws

Abstract: Consider a strictly hyperbolic $n\times n$ system of conservation laws in one space dimension:
u_t+F(u)_x=0. \eqno(*)
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 space--like segments.

Paper:

Available as PostScript.

Title:

Uniqueness of Weak Solutions to Systems of Conservation Laws

Author(s):

Alberto Bressan, mailto:bressan@sissa.it

Philippe LeFloch, mailto:lefloch@cmapx.polytechnique.fr

Publishing information:

To appear on Archive for Rational Mechanics and Analysis.

Submitted by:

mailto:rinaldo@imiucca.csi.unimi.it July 5 1996.