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1995, Volume 1, Issue 4: 585-593. Doi: 10.3934/dcds.1995.1.585
This issue Previous Article On the 2-D Riemann problem for the compressible Euler equations I. Interaction of shocks and rarefaction waves Next Article

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

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

    Citation:
    shu

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