Regularity criteria of the 3D Boussinesq equations in the Morrey-Campanato space

DOI10.1007/s10440-012-9705-3zbMath1254.35197OpenAlexW2064432041MaRDI QIDQ693172

Xiaoxin Zheng, Qian Zhang, Fu Yi Xu

Publication date: 7 December 2012

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9705-3

zbMATH Keywords

regularity criterionBoussinesq equationsMorrey-Campanato space

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 (16)

A logarithmically improved regularity criterion of smooth solutions for the 3D Boussinesq equations ⋮ Unnamed Item ⋮ A regularity criterion for the 3D Boussinesq equations ⋮ Blow-up criteria for three-dimensional Boussinesq equations in Triebel-Lizorkin spaces ⋮ Regularity results for viscous 3D Boussinesq temperature fronts ⋮ The regularity criteria of weak solutions to 3D axisymmetric incompressible Boussinesq equations ⋮ A blowup criteria of smooth solutions to the 3D Boussinesq equations ⋮ Logarithmical regularity criterion of the three-dimensional Boussinesq equations in terms of the pressure ⋮ The regularity criterion for weak solutions to the \(n\)-dimensional Boussinesq system ⋮ 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 ⋮ Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices ⋮ Remarks on pressure regularity criterion for the 3D Boussinesq equations ⋮ On the regularity of weak solutions of the Boussinesq equations in Besov spaces ⋮ A regularity criterion of weak solutions to the 3D Boussinesq equations ⋮ Logarithmically improved regularity criteria for the Boussinesq equations

Cites Work

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• Blow-up criteria for 3D Boussinesq equations in the multiplier space
• A note on the uniqueness of mild solutions to the Navier-Stokes equations
• The Navier-Stokes equations in the critical Morrey-Campanato space
• A note on regularity criterion for the 3D Boussinesq system with partial viscosity
• Compensated compactness and Hardy spaces
• On the Navier-Stokes initial value problem. I
• Multipliers between Sobolev spaces and fractional differentiation
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Serrin-type blow-up criteria for 3D Boussinesq equations
• Interpolation inequalities in Besov spaces
• REMARKS ON THE BLOW-UP CRITERION FOR THE 3-D BOUSSINESQ EQUATIONS

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