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Blow-up criteria of smooth solutions to the 3D Boussinesq system with zero viscosity in a bounded domain |
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| Authors: | Jishan Fan Gen Nakamura Haibing Wang |
| Affiliation: | 1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, PR China;2. Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan;3. Department of Mathematics, Southeast University, Nanjing 210096, PR China;4. School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, PR China |
| Abstract: | We prove that a smooth solution of the 3D Boussinesq system with zero viscosity in a bounded domain breaks down, if a certain norm of vorticity blows up at the same time. Here this norm is weaker than the bmo-norm. |
| Keywords: | 35Q30 76D03 76D05 76D07 |
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