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A blow-up criterion for 3D Boussinesq equations in Besov spaces
Authors:Hua Qiu  Yi Du
Affiliation: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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