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A blow-up criterion for 3D Boussinesq equations in Besov spaces |
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| Authors: | Hua Qiu Yi Du |
| Institution: | a Department of Applied Mathematics, South China Agricultural University, Guangzhou 510642, PR China b School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, PR China c School of Mathematical Sciences, South China Normal University, Guangzhou 510631, PR China |
| Abstract: | In this paper, we consider the 3D Boussinesq equations with the incompressibility condition. We obtain a regularity condition for the three-dimensional Boussinesq equations by means of the Littlewood-Paley theory and Bony’s paradifferential calculus. |
| Keywords: | 76B03 76D03 76D05 |
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