Preprint 1996-014
Uniqueness of Weak Solutions to Systems of Conservation Laws
Alberto Bressan and Philippe LeFloch
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,
<bressan@sissa.it>
- Philippe LeFloch,
<lefloch@cmapx.polytechnique.fr>
- Publishing information:
- To appear on Archive for Rational Mechanics and Analysis.
- Submitted by:
-
<rinaldo@imiucca.csi.unimi.it>
July 5 1996.
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Last modified: Mon Jul 8 16:49:35 1996