%0 Journal Article
%T Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces
%A Baoquan Yuan
%A Jia Yuan
%J Mathematics
%D 2008
%I arXiv
%X 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 $\dot B^{3/p}_{p,1}(\mathbb{R}^3)$ with $1\le p\le\infty$ by the method of modulus of continuity and Fourier localization technique.
%U http://arxiv.org/abs/0808.3051v1