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The strong relaxation limit of the multidimensional isothermal Euler equations |
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| Authors: | Jean-Franç ois Coulombel Thierry Goudon |
| Institution: | Team SIMPAF--INRIA Futurs, CNRS & Université Lille 1, Laboratoire Paul Painlevé, UMR CNRS 8524, Cité Scientifique, 59655 Villeneuve D'Ascq Cedex, France ; Team SIMPAF--INRIA Futurs, CNRS & Université Lille 1, Laboratoire Paul Painlevé, UMR CNRS 8524, Cité Scientifique, 59655 Villeneuve D'Ascq Cedex, France |
| 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. |
| Keywords: | Gas dynamics relaxation global smooth solutions |
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