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Blow-up criteria for 3D Boussinesq equations in the multiplier space
Affiliation:1. Department of Applied Mathematics, South China Agricultural University, Guangzhou 510642, PR China;2. School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, PR China;3. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, PR China;1. Department of Information and Computing Sciences, Chengdu University of Technology, Chengdu 610059, PR China;2. Business School, Sichuan University, Chengdu 610065, PR China;1. Department of Mathematics, Shanghai University, Shanghai 200444, China;2. Department of Applied Mathematics, Shanghai Finance University, 201209, China;1. College of Liberal Arts, Mathematical Science Research Unit, Muroran Institute of Technology, 27-1, Mizumoto-cho, Muroran, Hokkaido 050-8585, Japan;2. Office of International Affairs, Hokkaido University, Kita 15, Nishi 8, Kita-ku, Sapporo, Hokkaido 060-0815, Japan;3. Institute of Mathematics, Sofia, Bulgaria
Abstract:In this paper, we consider the three-dimensional Boussinesq equations with the incompressibility condition. We obtain some regularity conditions for the three-dimensional Boussinesq equations in the multiplier space.
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