A Logarithmically Improved Regularity Criterion for the 3D Boussinesq Equations Via the Pressure

被引：14

作者：

Zhang, Zujin ^{[1
]}

机构：

[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2014年 / 131卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Boussinesq equations; Regularity criterion; Besov spaces; NAVIER-STOKES EQUATIONS; BLOW-UP CRITERIA; WEAK SOLUTIONS;

D O I：

10.1007/s10440-013-9855-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the three-dimensional Boussinesq equations, and obtain a logarithmically improved regularity criterion in terms of pressure.

引用

页码：213 / 219

页数：7

共 19 条

[1]

[Anonymous], 1963, NONLINEAR PROBLEMS

[2]

[Anonymous], 2002, Topics in Mathematical Fluid Mechanics

[3] A note on regularity criterion for the 3D Boussinesq system with partial viscosity [J].

Fan, Jishan ;

Zhou, Yong .

APPLIED MATHEMATICS LETTERS, 2009, 22 (05) :802-805

[4] Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the pressure in the class L2(0, T; <(B)over dot>∞,∞-1(R3)) [J].

He, Xiaowei ;

Gala, Sadek .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (06) :3602-3607

[5]

Hopf E., 1951, Math. Nachr., V4, P213, DOI [/10.1002/mana.3210040121, DOI 10.1002/MANA.3210040121]

[6] Remarks on the blow-up criterion for the 3-D Bousslnesq equations [J].

Ishimura, N ;

Morimoto, H .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1999, 9 (09) :1323-1332

[7]

Lemarie-Rieusset P.-G., 2002, Research Notes in Mathematics, V431

[8] On the movement of a viscous fluid to fill the space [J].

Leray, J .

ACTA MATHEMATICA, 1934, 63 (01) :193-248

[9]

Meyer Y., 1996, SEMINAIRE E QUATIONS

[10] Blow-up criteria for 3D Boussinesq equations in the multiplier space [J].

Qiu, Hua ;

Du, Yi ;

Yao, Zheng'an .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (04) :1820-1824

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