3D density-dependent Boussinesq equations with velocity field in BMO spaces

DOI10.1007/s10440-015-0011-8zbMath1334.35262OpenAlexW2041964696MaRDI QIDQ267112

Zujin Zhang

Publication date: 8 April 2016

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-015-0011-8

zbMATH Keywords

regularity criterionBMO spacedensity-dependent Boussinesq equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (6)

Well-posedness for density-dependent Boussinesq equations without dissipation terms in Besov spaces ⋮ The zero limit of thermal diffusivity for the 2D density-dependent Boussinesq equations ⋮ The zero limit of thermal diffusivity for the 2D density‐dependent Boussinesq equations with vacuum ⋮ Strong solutions to the 2D Cauchy problem of density-dependent viscous Boussinesq equations with vacuum ⋮ Global regularity results for the 212 D magnetic Bénard system with mixed partial viscosity ⋮ Global well-posedness and decay estimates of strong solutions to the nonhomogeneous Boussinesq equations for magnetohydrodynamics convection

Cites Work

• Theory of function spaces
• Unique solvability for the density-dependent Navier-Stokes equations
• Regularity criteria for the 3D density-dependent Boussinesq equations
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