A LOGARITHMICALLY IMPROVED REGULARITY CRITERION OF SMOOTH SOLUTIONS FOR THE 3D BOUSSINESQ EQUATIONS
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Ye, Zhuan
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
Ye, Zhuan
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[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
In this note, we consider the three-dimensional (3D) incompressible Boussinesq equations. We obtain the logarithmically improved regularity criterion of smooth solutions in terms of the velocity field. This result improves some previous works.
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Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China
Gong, Menghan
Wen, Zhihong
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Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China
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Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
Hou, Qianqian
Xu, Xiaojing
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
Xu, Xiaojing
Ye, Zhuan
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Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
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Xiamen Univ, Sch Math Sci, Xiamen, Peoples R China
Xiamen Univ, Shenzhen Res Inst, Shenzhen, Peoples R ChinaXiamen Univ, Sch Math Sci, Xiamen, Peoples R China
Tan, Zhong
Xu, Saiguo
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Xiamen Univ, Sch Math Sci, Xiamen, Peoples R ChinaXiamen Univ, Sch Math Sci, Xiamen, Peoples R China
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Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 11623, Saudi ArabiaImam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 11623, Saudi Arabia
Ben Omrane, Ines
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Ben Slimane, Mourad
Gala, Sadek
论文数: 0引用数: 0
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Ecole Normal Super Mostaganem, Mostaganem 27000, Algeria
Univ Catania, Dipartimento Matemat & Informat, Catania, ItalyImam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 11623, Saudi Arabia
Gala, Sadek
Ragusa, Maria Alessandra
论文数: 0引用数: 0
h-index: 0
机构:
Univ Catania, Dipartimento Matemat & Informat, Catania, Italy
Ind Univ Ho Chi Minh City, Fac Fundamental Sci, Ho Chi Minh City, VietnamImam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 11623, Saudi Arabia
机构:
Univ Mostaganem, POB 270, Mostaganem 27000, Algeria
Univ Catania, Dipartimento Matemat & Informat, Viale Andrea Doria 6, I-95125 Catania, ItalyUniv Mostaganem, POB 270, Mostaganem 27000, Algeria
机构:
Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China
Ye, Zhuan
Xu, Xiaojing
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaJiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China
Xu, Xiaojing
Xue, Liutang
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaJiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China
机构:
Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China
Gong, Menghan
Wen, Zhihong
论文数: 0引用数: 0
h-index: 0
机构:
Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China
机构:
Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
Hou, Qianqian
Xu, Xiaojing
论文数: 0引用数: 0
h-index: 0
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
Xu, Xiaojing
Ye, Zhuan
论文数: 0引用数: 0
h-index: 0
机构:
Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
机构:
Xiamen Univ, Sch Math Sci, Xiamen, Peoples R China
Xiamen Univ, Shenzhen Res Inst, Shenzhen, Peoples R ChinaXiamen Univ, Sch Math Sci, Xiamen, Peoples R China
Tan, Zhong
Xu, Saiguo
论文数: 0引用数: 0
h-index: 0
机构:
Xiamen Univ, Sch Math Sci, Xiamen, Peoples R ChinaXiamen Univ, Sch Math Sci, Xiamen, Peoples R China
机构:
Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 11623, Saudi ArabiaImam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 11623, Saudi Arabia
Ben Omrane, Ines
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h-index:
机构:
Ben Slimane, Mourad
Gala, Sadek
论文数: 0引用数: 0
h-index: 0
机构:
Ecole Normal Super Mostaganem, Mostaganem 27000, Algeria
Univ Catania, Dipartimento Matemat & Informat, Catania, ItalyImam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 11623, Saudi Arabia
Gala, Sadek
Ragusa, Maria Alessandra
论文数: 0引用数: 0
h-index: 0
机构:
Univ Catania, Dipartimento Matemat & Informat, Catania, Italy
Ind Univ Ho Chi Minh City, Fac Fundamental Sci, Ho Chi Minh City, VietnamImam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 11623, Saudi Arabia
机构:
Univ Mostaganem, POB 270, Mostaganem 27000, Algeria
Univ Catania, Dipartimento Matemat & Informat, Viale Andrea Doria 6, I-95125 Catania, ItalyUniv Mostaganem, POB 270, Mostaganem 27000, Algeria
机构:
Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China
Ye, Zhuan
Xu, Xiaojing
论文数: 0引用数: 0
h-index: 0
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaJiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China
Xu, Xiaojing
Xue, Liutang
论文数: 0引用数: 0
h-index: 0
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaJiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China