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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 10
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Original Articles

Serrin-type blow-up criteria for 3D Boussinesq equations

Hua Qiu Department of Applied Mathematics, South China Agricultural University, Guangzhou 510642, P.R. China; School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, P.R. ChinaCorrespondence[email protected]
,
Yi Du School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China
&
Zheng'an Yao School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, P.R. China
Pages 1603-1613 | Received 10 Mar 2010, Accepted 08 May 2010, Published online: 15 Jul 2010

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Fan Wu. (2022) A regularity criterion for the 3D Boussinesq equations. Applicable Analysis 101:8, pages 3039-3047.
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Articles from other publishers (17)

Cung The Anh & Le Tran Tinh. (2023) Regularity and attractors for the three‐dimensional generalized Boussinesq system. Mathematical Methods in the Applied Sciences.
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Fan Wu. (2020) Regularity Criterion for 3D Boussinesq Equations via Partial Horizontal Derivatives of Two Velocity Components. Bulletin of the Brazilian Mathematical Society, New Series 52:2, pages 267-279.
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爱庭 乐. (2021) The Logarithmic Regularity Criteria for Velocity of Boussinesq Equations with Fractional Laplacian Dissipation. Advances in Applied Mathematics 10:09, pages 2917-2922.
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Qiao Liu. (2018) The 3D Boussinesq Equations with Regularity in One Directional Derivative of the Pressure. Bulletin of the Malaysian Mathematical Sciences Society 42:6, pages 3005-3019.
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Longshen Liu & Meng Bai. (2018) Remarks on pressure regularity criterion for the 3D Boussinesq equations. Computers & Mathematics with Applications 76:7, pages 1661-1668.
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Hua Qiu & Zheng’an Yao. (2017) Well-posedness for density-dependent Boussinesq equations without dissipation terms in Besov spaces. Computers & Mathematics with Applications 73:9, pages 1920-1931.
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Mohamed Mechdene, Sadek Gala, Zhengguang Guo & Alessandra Maria Ragusa. (2016) Logarithmical regularity criterion of the three-dimensional Boussinesq equations in terms of the pressure. Zeitschrift für angewandte Mathematik und Physik 67:5.
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Kazuo Yamazaki. (2015) On the global regularity of N-dimensional generalized Boussinesq system. Applications of Mathematics 60:2, pages 109-133.
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Zujin Zhang. (2013) A Logarithmically Improved Regularity Criterion for the 3D Boussinesq Equations Via the Pressure. Acta Applicandae Mathematicae 131:1, pages 213-219.
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Zujin Zhang. (2014) Some Regularity Criteria for the 3D Boussinesq Equations in the Class . ISRN Applied Mathematics 2014, pages 1-4.
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Qiang Wu, Lin Hu & Guili Liu. (2014) An Osgood Type Regularity Criterion for the 3D Boussinesq Equations. The Scientific World Journal 2014, pages 1-4.
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Zujin Zhang. (2014) A Remark on the Regularity Criterion for the 3D Boussinesq Equations Involving the Pressure Gradient. Abstract and Applied Analysis 2014, pages 1-4.
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Hua Qiu, Yi Du & Zheng'an Yao. (2012) Local existence and blow‐up criterion for the generalized Boussinesq equations in Besov spaces. Mathematical Methods in the Applied Sciences 36:1, pages 86-98.
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Fuyi Xu, Qian Zhang & Xiaoxin Zheng. (2012) Regularity Criteria of the 3D Boussinesq Equations in the Morrey-Campanato Space. Acta Applicandae Mathematicae 121:1, pages 231-240.
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Minglei Zang. (2012) Blow-Up Criteria for Three-Dimensional Boussinesq Equations in Triebel-Lizorkin Spaces. Discrete Dynamics in Nature and Society 2012, pages 1-9.
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Minglei Zang & Xiaoyan Guan. (2012) Logarithmically Improved Regularity Criteria for a Fluid System with the Linear Soret Effect. Abstract and Applied Analysis 2012, pages 1-8.
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Hua Qiu, Yi Du & Zheng’an Yao. (2011) Blow-up criteria for 3D Boussinesq equations in the multiplier space. Communications in Nonlinear Science and Numerical Simulation 16:4, pages 1820-1824.
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