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

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  • 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.
    Mathematics Subject Classification: Primary: 35A40; Secondary: 35B50, 35B45.

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