On the Cauchy problems for certain Boussinesq-α equations

DOI10.1017/S0308210509000122zbMath1191.35087OpenAlexW1983370465MaRDI QIDQ3564600

Yong Zhou, Jishan Fan

Publication date: 26 May 2010

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210509000122

zbMATH Keywords

partial viscosityLagrangian averaged Boussinesq equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35)

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Vanishing heat conductivity limit for the 2D Cahn-Hilliard-Boussinesq system ⋮ Local existence of strong solutions to the generalized Boussinesq equations ⋮ The regularized Boussinesq equations with partial dissipations in dimension two ⋮ Logarithmical regularity criterion of the three-dimensional Boussinesq equations in terms of the pressure ⋮ Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices ⋮ On the regularity criterion of strong solutions to the 3D Boussinesq equations ⋮ On the convergence of an approximate deconvolution model to the 3D mean Boussinesq equations ⋮ A remark on the regularity criterion of Boussinesq equations with zero heat conductivity

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