Well-posedness for density-dependent Boussinesq equations without dissipation terms in Besov spaces

DOI10.1016/j.camwa.2017.02.041zbMath1375.35394OpenAlexW2595271829MaRDI QIDQ2403725

Hua Qiu, Zheng-An Yao

Publication date: 12 September 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.02.041

zbMATH Keywords

Besov spacesBoussinesq equationslocal well-posednessdensity-dependent

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

Blow-up criterion for the density dependent inviscid Boussinesq equations ⋮ 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 ⋮ Time decay and stability of solutions for the 3D density-dependent incompressible Boussinesq system ⋮ Strong solutions to the 2D Cauchy problem of density-dependent viscous Boussinesq equations with vacuum ⋮ Global well-posedness and decay estimates of strong solutions to the nonhomogeneous Boussinesq equations for magnetohydrodynamics convection ⋮ Global solvability to the high-dimensional inhomogeneous Boussinesq equations with zero thermal diffusion ⋮ Global existence of classical solutions to the two-dimensional compressible Boussinesq equations in a square domain

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