| 3维带粘性Boussinesq方程弱解的一个正则性准则 |
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| 引用本文： | 刘煦,陈玉林.3维带粘性Boussinesq方程弱解的一个正则性准则[J].河南师范大学学报(自然科学版),2013,41(3):23-25. |
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| 作者姓名： | 刘煦 陈玉林 |
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| 作者单位： | 1. 吉林财经大学应用数学学院,长春,130117
2. 平顶山教育学院数学系,河南平顶山,467000 |
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| 基金项目： | 国家自然科学基金，吉林省教育厅"十二五"科学技术研究项目 |
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| 摘 要： | 考虑3维带粘性Boussinesq方程的一组弱解,当解u满足u∈L2(0,T;BMO(R3)),且iu∈L1(0,T;BMO(R3)),i=1,2,3时,该弱解得到一定的正则性.
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| 关 键 词： | Boussinesq方程 弱解 正则性 Hardy空间 BMO空间 |
Regularity Criterion for Weak Solutions to the 3 Dimensional Viscous Boussinesq Equations |
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| LIU Xu
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CHEN Yulin.Regularity Criterion for Weak Solutions to the 3 Dimensional Viscous Boussinesq Equations[J].Journal of Henan Normal University(Natural Science),2013,41(3):23-25. |
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| Authors: | LIU Xu CHEN Yulin |
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| Institution: | 2(School of Applied Mathematics,Jilin University of Finance and Economics,Jilin 130117,China;2.Department of Mathematics,Pingdingshan Institute of Education,Pingdingshan 467000,China) |
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| Abstract: | The main purpose of this paper is to show the regularity criterion for weak solutions to the 3 dimensional viscous Boussinesq equations,on the condition that the weak solutions(u,θ) satisfy u∈L2(0,T;BMO(R3)),and i u∈L1(0,T;BMO(R3)). |
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| Keywords: | Boussinesq equations weak solutions regularity the Hardy space BMO space |
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