October  1995, 1(4): 585-593. doi: 10.3934/dcds.1995.1.585

Invariant regions under Lax-Friedrichs scheme for multidimensional systems of conservation laws

1. 

Instituto de Matemática, Universidade Federal do Rio de Janeiro, C.P. 68530, CEP 21945-970, Rio de Janeiro, RJ, Brazil

Received  September 1994 Revised  June 1995 Published  August 1995

We establish necessary and sufficient conditions for the invariance of a region in the state space, under the Lax-Friedrichs scheme applied to a multidimensional system of conservation laws. We also give some examples of application of the invariance principle proved here.
Citation: Hermano Frid. Invariant regions under Lax-Friedrichs scheme for multidimensional systems of conservation laws. Discrete & Continuous Dynamical Systems - A, 1995, 1 (4) : 585-593. doi: 10.3934/dcds.1995.1.585
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