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3维带粘性Boussinesq方程弱解的一个正则性准则

Regularity Criterion for Weak Solutions to the 3 Dimensional Viscous Boussinesq Equations
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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. 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)).
作者 刘煦 陈玉林
出处 《河南师范大学学报(自然科学版)》 CAS 北大核心 2013年第3期23-25,共3页 Journal of Henan Normal University(Natural Science Edition)
基金 国家自然科学基金(30871452) 吉林省教育厅"十二五"科学技术研究项目(2011175)
关键词 BOUSSINESQ方程 弱解 正则性 HARDY空间 BMO空间 Boussinesq equations weak solutions regularity the Hardy space BMO space
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参考文献8

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