A front-tracking alternative to the random choice method
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- by Nils Henrik Risebro PDF
- Proc. Amer. Math. Soc. 117 (1993), 1125-1139 Request permission
Abstract:
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.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 1125-1139
- MSC: Primary 35L65; Secondary 76L05, 76M99
- DOI: https://doi.org/10.1090/S0002-9939-1993-1120511-X
- MathSciNet review: 1120511