Compactness framework and convergence of Lax-Friedrichs and Godunov schemes for a nonstrictly hyperbolic system of conservation laws

Author:
Bruno Rubino

Journal:
Quart. Appl. Math. **53** (1995), 401-421

MSC:
Primary 35L65; Secondary 35D05, 65M06

DOI:
https://doi.org/10.1090/qam/1343459

MathSciNet review:
MR1343459

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Abstract | References | Similar Articles | Additional Information

Abstract: A compactness framework and a convergence theorem for the Lax-Friedrichs scheme and the Godunov scheme applied to the Cauchy problem for a nonstrictly hyperbolic system of conservation laws are established. The existence of weak solutions is proved using the theory of compensated compactness of Tartar, Murat, DiPerna, and Serre.

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DOI:
https://doi.org/10.1090/qam/1343459

Article copyright:
© Copyright 1995
American Mathematical Society