Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces

نویسندگان

  • Baoquan Yuan
  • Jia Yuan
چکیده

In this paper we study the model of heat transfer in a porous medium with a critical diffusion. We obtain global existence and uniqueness of solutions to the equations of heat transfer of incompressible fluid in Besov spaces Ḃ 3/p p,1 (R ) with 1 ≤ p ≤ ∞ by the method of modulus of continuity and Fourier localization technique. AMS Subject Classification 2000: 76S05, 76D03

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تاریخ انتشار 2008