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Volume 27, Issue 1
BKM's Criterion of Weak Solutions for the 3D Boussinesq Equations

Xin-Guang Yang & Lingrui Zhang

DOI: 10.4208/jpde.v27.n1.4

J. Part. Diff. Eq., 27 (2014), pp. 64-73.

Published online: 2014-03

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  • Abstract
In this present paper, we investigate the Cauchy problem for 3D incompressible Boussinesq equations and establish the Beale-Kato-Majda regularity criterion of smooth solutions in terms of the velocity field in the homogeneous BMO space.
  • Keywords

Incompressible Boussinesq equations BKM's criterion smooth solutions

  • AMS Subject Headings

52B10, 65D18, 68U05, 68U07

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

yangxinguang@hotmail.com (Xin-Guang Yang)

zhanglingrui@126.com (Lingrui Zhang)

  • BibTex
  • RIS
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@Article{JPDE-27-64, author = {Yang , Xin-Guang and Zhang , Lingrui}, title = {BKM's Criterion of Weak Solutions for the 3D Boussinesq Equations}, journal = {Journal of Partial Differential Equations}, year = {2014}, volume = {27}, number = {1}, pages = {64--73}, abstract = { In this present paper, we investigate the Cauchy problem for 3D incompressible Boussinesq equations and establish the Beale-Kato-Majda regularity criterion of smooth solutions in terms of the velocity field in the homogeneous BMO space.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v27.n1.4}, url = {http://global-sci.org/intro/article_detail/jpde/5126.html} }
TY - JOUR T1 - BKM's Criterion of Weak Solutions for the 3D Boussinesq Equations AU - Yang , Xin-Guang AU - Zhang , Lingrui JO - Journal of Partial Differential Equations VL - 1 SP - 64 EP - 73 PY - 2014 DA - 2014/03 SN - 27 DO - http://doi.org/10.4208/jpde.v27.n1.4 UR - https://global-sci.org/intro/article_detail/jpde/5126.html KW - Incompressible Boussinesq equations KW - BKM's criterion KW - smooth solutions AB - In this present paper, we investigate the Cauchy problem for 3D incompressible Boussinesq equations and establish the Beale-Kato-Majda regularity criterion of smooth solutions in terms of the velocity field in the homogeneous BMO space.
Yang , Xin-Guang and Zhang , Lingrui. (2014). BKM's Criterion of Weak Solutions for the 3D Boussinesq Equations. Journal of Partial Differential Equations. 27 (1). 64-73. doi:10.4208/jpde.v27.n1.4
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