Serrin-type blow-up criteria for 3D Boussinesq equations

DOI10.1080/00036811.2010.492505zbMath1387.35501OpenAlexW2096407084MaRDI QIDQ3163655

Yi Du, Zheng-An Yao, Hua Qiu

Publication date: 26 October 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.492505

zbMATH Keywords

Boussinesq equationsregularity criteriaSerrin-type criterion

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) Blow-up in context of PDEs (35B44)

Related Items (16)

Unnamed Item ⋮ Well-posedness for density-dependent Boussinesq equations without dissipation terms in Besov spaces ⋮ A regularity criterion for the 3D Boussinesq equations ⋮ Logarithmically improved regularity criteria for a fluid system with the linear Soret effect ⋮ Blow-up criteria for three-dimensional Boussinesq equations in Triebel-Lizorkin spaces ⋮ A logarithmically improved regularity criterion for the 3D Boussinesq equations via the pressure ⋮ Regularity and attractors for the three‐dimensional generalized Boussinesq system ⋮ A remark on the regularity criterion for the 3D Boussinesq equations involving the pressure gradient ⋮ Some regularity criteria for the 3D Boussinesq equations in the class \(L^2(0,T;\dot B^{-1}_{\infty,\infty})\) ⋮ Local existence and blow‐up criterion for the generalized Boussinesq equations in Besov spaces ⋮ Logarithmical regularity criterion of the three-dimensional Boussinesq equations in terms of the pressure ⋮ Regularity criteria of the 3D Boussinesq equations in the Morrey-Campanato space ⋮ The 3D Boussinesq equations with regularity in one directional derivative of the pressure ⋮ Regularity criterion for 3D Boussinesq equations via partial horizontal derivatives of two velocity components ⋮ Remarks on pressure regularity criterion for the 3D Boussinesq equations ⋮ On the global regularity of \(N\)-dimensional generalized Boussinesq system.

Cites Work

• Unnamed Item
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• On the global well-posedness for Boussinesq system
• Theory of function spaces II
• A note on regularity criterion for the 3D Boussinesq system with partial viscosity
• Global regularity of solutions of 2D Boussinesq equations with fractional diffusion
• On the regularity criteria for weak solutions to the magnetohydrodynamic equations
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Un teorema di unicita per le equazioni di Navier-Stokes
• On partial regularity results for the navier-stokes equations
• Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations
• Local existence and blow-up criterion for the Boussinesq equations
• On Squirt Singularities in Hydrodynamics
• REMARKS ON THE BLOW-UP CRITERION FOR THE 3-D BOUSSINESQ EQUATIONS

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