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

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-Pal...

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Bibliographic Details
Main Authors: Jiang Xu, Daoyuan Fang
Format: Article
Language:English
Published: SpringerOpen 2007-10-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2007/56945
Description
Summary: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.
ISSN:1687-2762
1687-2770