Open Access

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

Boundary Value Problems20072007:056945

DOI: 10.1155/2007/56945

Received: 3 July 2007

Accepted: 30 August 2007

Published: 22 October 2007

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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Authors’ Affiliations

(1)
Department of Mathematics, Nanjing University of Aeronautics and Astronautics
(2)
Department of Mathematics, Zhejiang University

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Copyright

© J. Xu and D. Fang 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.