Well-Posedness for a Multidimensional Viscous Liquid-Gas Two-Phase Flow Model

نویسندگان

  • Chengchun Hao
  • Hai-Liang Li
چکیده

The Cauchy problem of a multidimensional (d 2) compressible viscous liquid-gas two-phase flow model is studied in this paper. We investigate the global existence and uniqueness of the strong solution for the initial data close to a stable equilibrium and the local-in-time existence and uniqueness of the solution with general initial data in the framework of Besov spaces. A continuation criterion is also obtained for the local solution.

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عنوان ژورنال:
  • SIAM J. Math. Analysis

دوره 44  شماره 

صفحات  -

تاریخ انتشار 2012