An Osgood Type Regularity Criterion for the 3D Boussinesq Equations

被引：2
作者：
Wu, Qiang [1 ,2 ]
Hu, Lin [2 ]
Liu, Guili [3 ]
机构：
[1] Cent South Univ, Sch Resources & Safety Engn, Changsha 410075, Hunan, Peoples R China
[2] Jiangxi Univ Sci & Technol, Ganzhou 341000, Jiangxi, Peoples R China
[3] Harbin Finance Univ, Dept Basic Teaching, Harbin 150030, Heilongjiang, Peoples R China
来源：
SCIENTIFIC WORLD JOURNAL | 2014年
关键词：
NAVIER-STOKES EQUATIONS; BLOW-UP CRITERIA; WEAK SOLUTIONS; ENTRIES; GRADIENT;
D O I：
10.1155/2014/563084
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We consider the three-dimensional Boussinesq equations, and obtain an Osgood type regularity criterion in terms of the velocity gradient.
引用
收藏
页数：4
相关论文
共 27 条
  • [1] [Anonymous], 2002, Topics in Mathematical Fluid Mechanics
  • [2] A note on regularity criterion for the 3D Boussinesq system with partial viscosity
    Fan, Jishan
    Zhou, Yong
    [J]. APPLIED MATHEMATICS LETTERS, 2009, 22 (05) : 802 - 805
  • [3] 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))
    He, Xiaowei
    Gala, Sadek
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (06) : 3602 - 3607
  • [4] Hopf E., 1951, Math. Nachr., V4, P213, DOI [/10.1002/mana.3210040121, DOI 10.1002/MANA.3210040121]
  • [5] Remarks on the blow-up criterion for the 3-D Bousslnesq equations
    Ishimura, N
    Morimoto, H
    [J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1999, 9 (09) : 1323 - 1332
  • [6] Lemarie-Rieusset P. G., 2002, RECENT DEV NAVIER ST, V431
  • [7] On the movement of a viscous fluid to fill the space
    Leray, J
    [J]. ACTA MATHEMATICA, 1934, 63 (01) : 193 - 248
  • [8] Derivation of a fractional Boussinesq equation for modelling unconfined groundwater
    Mehdinejadiani, B.
    Jafari, H.
    Baleanu, D.
    [J]. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2013, 222 (08) : 1805 - 1812
  • [9] Blow-up criteria for 3D Boussinesq equations in the multiplier space
    Qiu, Hua
    Du, Yi
    Yao, Zheng'an
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (04) : 1820 - 1824
  • [10] Serrin-type blow-up criteria for 3D Boussinesq equations
    Qiu, Hua
    Du, Yi
    Yao, Zheng'an
    [J]. APPLICABLE ANALYSIS, 2010, 89 (10) : 1603 - 1613
123