On the regularity criterion of strong solutions to the 3D Boussinesq equations

DOI10.1080/00036811.2010.530261zbMath1229.35206OpenAlexW1987804035WikidataQ58304136 ScholiaQ58304136MaRDI QIDQ3096918

Saddek Gala

Publication date: 15 November 2011

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

Full work available at URL: https://doi.org/10.1080/00036811.2010.530261

zbMATH Keywords

a priori estimatesregularity criterionBoussinesq equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05)

Related Items (13)

Hausdorff dimension of a random attractor for stochastic Boussinesq equations with double multiplicative white noises ⋮ Unnamed Item ⋮ A blowup criteria of smooth solutions to the 3D Boussinesq equations ⋮ Global regularity results for the 212 D magnetic Bénard system with mixed partial viscosity ⋮ 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 ⋮ A regularity criterion to the 3D Boussinesq equations ⋮ 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 ⋮ A regularity criterion of weak solutions to the 3D Boussinesq equations ⋮ Logarithmically improved regularity criteria for the Boussinesq equations ⋮ A remark on the regularity criterion of Boussinesq equations with zero heat conductivity

Cites Work

• A note on regularity criterion for the 3D Boussinesq system with partial viscosity
• A new regularity criterion for the Navier-Stokes equations in terms of the direction of vorticity
• Un teorema di unicita per le equazioni di Navier-Stokes
• On the Cauchy problems for certain Boussinesq-α equations
• Regularity criteria for the 3D density-dependent Boussinesq equations
• On partial regularity results for the navier-stokes equations
• Direction of vorticity and a new regularity criterion for the Navier-Stokes equations
• Homogeneity criterion for the Navier-Stokes equations in the whole spaces

This page was built for publication: On the regularity criterion of strong solutions to the 3D Boussinesq equations