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Media type:
E-Article
Title:
A Front-Tracking Alternative to the Random Choice Method
Contributor:
Risebro, Nils Henrik
Published:
American Mathematical Society, 1993
Published in:
Proceedings of the American Mathematical Society, 117 (1993) 4, Seite 1125-1139
Language:
English
ISSN:
0002-9939;
1088-6826
Origination:
Footnote:
Description:
An alternative to Glimm's proof of the existence of solutions to systems of hyperbolic conservation laws is presented. The proof is based on an idea by Dafermos for the single conservation law and in some respects simplifies Glimm's original argument. The proof is based on construction of approximate solutions of which a subsequence converges. It is shown that the constructed solution satisfies Lax's entropy inequalities. The construction also gives a numerical method for solving such systems.