Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces

zbMath1334.35103MaRDI QIDQ5962995

Mohammed Ziane, Fei Wang, Igor Kukavica

Publication date: 25 February 2016

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/1448323165

zbMATH Keywords

regularitySobolev spacesBoussinesq equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

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Persistence of global well-posedness for the 2D Boussinesq equations with fractional dissipation ⋮ Global regularity of the two-dimensional Boussinesq equations without diffusivity in bounded domains ⋮ Asymptotic properties of the Boussinesq equations with Dirichlet boundary conditions ⋮ Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium ⋮ 2D Voigt Boussinesq equations ⋮ Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity ⋮ On the global regularity for a 3D Boussinesq model without thermal diffusion ⋮ On $H(div)$-conforming Methods for Double-diffusion Equations in Porous Media ⋮ A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension ⋮ Smoothing effect and well-posedness for 2D Boussinesq equations in critical Sobolev space

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