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  • Research Article
  • Open Access

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

Boundary Value Problems20072007:056945

https://doi.org/10.1155/2007/56945

  • Received: 3 July 2007
  • Accepted: 30 August 2007
  • Published:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Sobolev Space

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Authors’ 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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