Solutions for polyharmonic elliptic problems with critical nonlinearities in symmetric domains
Well-posedness and long term behavior of a simplified Ericksen-Leslie non-autonomous system for nematic liquid crystal flows
March 2012, 11(2): 443-451. doi: 10.3934/cpaa.2012.11.443
Regularity criterion of the Newton-Boussinesq equations in $R^3$
Zhengguang Guo 1, and Sadek Gala 2,
College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, Zhejiang, China
Department of Mathematics, College of Science, Jazan University, Jazan, Kazakhstan
Received January 2010 Revised March 2011 Published October 2011
In this paper, we consider the regularity problem under the critical condition to the Newton-Boussinesq equations. The Serrin type regularity criteria are established in terms of the critical Morrey-Campanato spaces and Besov spaces.
Keywords: Regularity criterion, Newton-Boussinesq equations..
Mathematics Subject Classification: Primary: 35Q35; Secondary: 76D0.
Citation: Zhengguang Guo, Sadek Gala. Regularity criterion of the Newton-Boussinesq equations in $R^3$. Communications on Pure & Applied Analysis, 2012, 11 (2) : 443-451. doi: 10.3934/cpaa.2012.11.443
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Zhengguang Guo Sadek Gala