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Open Access Research Article

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

Jiang Xu1* and Daoyuan Fang2

Author Affiliations

1 Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

2 Department of Mathematics, Zhejiang University, Hangzhou 310027, China

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Boundary Value Problems 2007, 2007:056945  doi:10.1155/2007/56945

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.