Preprint 2004-062

The Strong Relaxation Limit of the Multidimensional Isothermal Euler Equations

Jean-Francois Coulombel and Thierry Goudon

Abstract: We construct global smooth solutions to the multidimensional isothermal Euler equations with a strong relaxation. When the relaxation time tends to zero, we show that the density converges towards the solution to the heat equation.

Paper:: Available as PDF (200 Kbytes).
Author(s):: Jean-Francois Coulombel, <jfcoulom@math.univ-lille1.fr>; Thierry Goudon, <thierry.goudon@math.univ-lille1.fr>
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Submitted by:: <jfcoulom@math.univ-lille1.fr> November 19 2004.

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