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

<p/> <p>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 <it>weaker</it> and <it>more general</it> Sobolev space of fractio...

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Bibliographic Details
Main Authors: Fang Daoyuan, Xu Jiang
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2007/056945
Description
Summary:<p/> <p>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 <it>weaker</it> and <it>more general</it> Sobolev space of fractional order. The method of proof used is the Littlewood-Paley decomposition.</p>
ISSN:1687-2762
1687-2770