The strong relaxation limit of the multidimensional isothermal Euler equations

Coulombel, Jean-François; Goudon, Thierry

doi:10.1090/S0002-9947-06-04028-1

The strong relaxation limit of the multidimensional isothermal Euler equations
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by Jean-François Coulombel and Thierry Goudon PDF

Trans. Amer. Math. Soc. 359 (2007), 637-648 Request permission

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.

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