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A Note on the Relaxation-Time Limit of the Isothermal Euler Equations

Abstract

This work is concerned with the relaxation-time limit of the multidimensional isothermal Euler equations with relaxation. We show that Coulombel-Goudon's results (2007) can hold in the weaker and more general Sobolev space of fractional order. The method of proof used is the Littlewood-Paley decomposition.

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Correspondence to Jiang Xu.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Xu, J., Fang, D. A Note on the Relaxation-Time Limit of the Isothermal Euler Equations. Bound Value Probl 2007, 056945 (2007). https://doi.org/10.1155/2007/56945

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