Blow-up criteria of smooth solutions to the 3D Boussinesq equations

DOI10.1002/mma.1558zbMath1273.35227OpenAlexW2071184883MaRDI QIDQ3118884

Xin Liu, Xin-Guang Yang, Yu-Zhu Wang, Yu-ming Qin

Publication date: 5 March 2012

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

Full work available at URL: https://doi.org/10.1002/mma.1558

zbMATH Keywords

smooth solutionsblow-up criteriaincompressible Boussinesq equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Cites Work

• Unnamed Item
• On the global well-posedness for Boussinesq system
• Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces
• On the global well-posedness of the Euler-Boussinesq system with fractional dissipation
• Theory of function spaces
• A note on regularity criterion for the 3D Boussinesq system with partial viscosity
• 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
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Convolution operators and L(p, q) spaces
• Some new functional spaces
• On the global well-posedness of the Boussinesq system with zero viscosity
• REMARKS ON THE BLOW-UP CRITERION FOR THE 3-D BOUSSINESQ EQUATIONS