A note on regularity criterion for the 3D Boussinesq system with zero thermal conductivity

DOI10.1016/j.aml.2011.07.008zbMath1231.35166OpenAlexW1998008578MaRDI QIDQ656699

Jishan Fan, Jinbo Geng

Publication date: 13 January 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.07.008

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (14)

Unnamed Item ⋮ Initial boundary value problem for 3D Boussinesq system with the thermal damping ⋮ Regularity criterion for the 3D Boussinesq equations with partial viscous terms in the limiting cases ⋮ Higher order regularity and blow-up criterion for semi-dissipative and ideal Boussinesq equations ⋮ Blow-up criteria and regularity criterion for the three-dimensional magnetic Bénard system in the multiplier space ⋮ Logarithmical regularity criterion of the three-dimensional Boussinesq equations in terms of the pressure ⋮ The 3D Boussinesq equations with regularity in one directional derivative of the pressure ⋮ The regularized 3D Boussinesq equations with fractional Laplacian and no diffusion ⋮ Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices ⋮ Remarks on pressure regularity criterion for the 3D Boussinesq equations ⋮ A regularity criterion of weak solutions to the 3D Boussinesq equations ⋮ Unnamed Item ⋮ Logarithmically improved regularity criteria for the Boussinesq equations ⋮ A remark on the regularity criterion of Boussinesq equations with zero heat conductivity

Cites Work

• Unnamed Item
• Unnamed Item
• A note on regularity criterion for the 3D Boussinesq system with partial viscosity
• On the uniqueness of weak solutions for the 3D Navier-Stokes equations
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations
• Regularity criteria for the 3D density-dependent Boussinesq equations
• 三维部分粘性Boussinesq 方程的爆破准则

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