A logarithmically improved regularity criterion of smooth solutions for the 3D Boussinesq equations

zbMath1342.35272MaRDI QIDQ294164

F. Blanchet-Sadri, M. Dambrine

Publication date: 9 June 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1461781795

zbMATH Keywords

stratificationatmospheric or oceanographic turbulenceincompressible Boussinesq equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Statistical turbulence modeling (76F55)

Related Items (9)

On the 3D incompressible Boussinesq equations in a class of variant spherical coordinates ⋮ Global solutions of 3D axisymmetric Boussinesq equations with nonzero swirl ⋮ A blowup criteria of smooth solutions to the 3D Boussinesq equations ⋮ Unnamed Item ⋮ The regularity criterion for weak solutions to the \(n\)-dimensional Boussinesq system ⋮ 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 ⋮ The local existence of strong solution for the stochastic 3D Boussinesq equations

Cites Work

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• Bilinear estimates in \(BMO\) and the Navier-Stokes equations
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• A remark on the regularity criterion of Boussinesq equations with zero heat conductivity
• The regularity criterion of the weak solution to the 3D viscous Boussinesq equations in Besov spaces
• Blow-up criteria of smooth solutions to the 3D Boussinesq equations
• Regularity criteria for the 3D density-dependent Boussinesq equations
• Commutator estimates and the euler and 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

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