A compactness framework and a convergence theorem for the Lax-Friedrichs scheme and the Godunov scheme applied to the Cauchy problem for a 2 x 2 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.
COMPACTNESS FRAMEWORK AND CONVERGENCE OF LAX-FRIEDRICHS AND GODUNOV SCHEMES FOR A 2X2 NONSTRICTLY HYERBOLIC SYSTEM OF CONSERVATION-LAWS
RUBINO, BRUNO
1995-01-01
Abstract
A compactness framework and a convergence theorem for the Lax-Friedrichs scheme and the Godunov scheme applied to the Cauchy problem for a 2 x 2 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.File in questo prodotto:
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