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Blow‐up criteria of smooth solutions to the 3D Boussinesq equations
Author(s) -
Qin Yuming,
Yang Xinguang,
Wang YuZhu,
Liu Xin
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1558
Subject(s) - mathematics , compressibility , boussinesq approximation (buoyancy) , mathematical analysis , cauchy problem , cauchy distribution , initial value problem , mechanics , physics , heat transfer , natural convection , rayleigh number
In this paper, we investigate three‐dimensional incompressible Boussinesq equations and establish some logarithmically improved blow‐up criteria of smooth solutions to the Cauchy problem for the incompressible Boussinesq equations. Copyright © 2011 John Wiley & Sons, Ltd.