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The unique limit of the Glimm scheme
 Alberto Bressan
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We introduce the definitions of a standard Riemann semigroup and of a viscosity solution for a nonlinear hyperbolic system of conservation laws. For a class including general 2×2 systems, it is proved that the solutions obtained by a wavefront tracking algorithm or by the Glimm scheme are precisely the semigroup trajectories. In particular, these solutions are unique and depend Lipschitz continuously on the initial data in the L ^{1} norm.
Communicated by C. Dafermos
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 Title
 The unique limit of the Glimm scheme
 Journal

Archive for Rational Mechanics and Analysis
Volume 130, Issue 3 , pp 205230
 Cover Date
 19950901
 DOI
 10.1007/BF00392027
 Print ISSN
 00039527
 Online ISSN
 14320673
 Publisher
 SpringerVerlag
 Additional Links
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 Authors

 Alberto Bressan ^{(1)}
 Author Affiliations

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