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

  • Jiang Xu1Email author and

    Affiliated with

    • Daoyuan Fang2

      Affiliated with

      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.