The regularity criterion of the weak solution to the 3D viscous Boussinesq equations in Besov spaces

DOI10.1002/mma.1367zbMath1205.35235OpenAlexW2022080528MaRDI QIDQ3069970

Zhaoyin Xiang

Publication date: 2 February 2011

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1367

zbMATH Keywords

regularity criterionBesov spacesBoussinesq equations

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)

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Cites Work

• The Navier-Stokes equations in the critical Lebesgue space
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• Space-time estimates in the Besov spaces and the Navier-Stokes equations
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• A blow-up criterion for 3D Boussinesq equations in Besov spaces
• Ill-posedness of the Navier-Stokes equations in a critical space in 3D
• On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
• Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• On the continuation principles for the Euler equations and the quasi-geostrophic equation
• Existence theorem and blow-up criterion of the strong solutions to the two-fluid MHD equation in \(\mathbb R^{3}\)
• Regularity criteria for the 3D density-dependent Boussinesq equations
• On the suitable weak solutions for the Cauchy problem of the Boussinesq equations
• On the Regularity Conditions for the Dissipative Quasi-geostrophic Equations

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