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

Hermano Frid

doi:10.3934/dcds.1995.1.585

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1995, Volume 1, Issue 4: 585-593. Doi: 10.3934/dcds.1995.1.585

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

Hermano Frid^1,

1.
Instituto de Matemática, Universidade Federal do Rio de Janeiro, C.P. 68530, CEP 21945-970, Rio de Janeiro, RJ

Received: August 31, 1994

Revised: May 31, 1995

Published: September 1995

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Abstract

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.

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

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