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Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces |
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| Authors: | Baoquan Yuan Jia Yuan |
| Affiliation: | a School of Mathematics and Informatics, Henan Polytechnic University, Henan 454000, China b Institute of Applied Physics and Computational Mathematics, Beijing 100088, China c Department of Mathematics, Beihang University, LMIB of the Ministry of Education, Beijing 100083, China |
| Abstract: | 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  with 1?p?∞ by the method of modulus of continuity and Fourier localization technique. |
| Keywords: | 76S05 76D03 |
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