Global regularity results for the 2D magnetic Bénard problem with fractional dissipation

DOI10.1007/s00021-019-0444-3zbMath1421.35291OpenAlexW2953928447MaRDI QIDQ2318079

Haifeng Shang

Publication date: 13 August 2019

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-019-0444-3

zbMATH Keywords

global regularityfractional dissipationmagnetic Bénard problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Free convection (76R10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fractional partial differential equations (35R11)

Related Items (7)

Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation ⋮ Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects* ⋮ Large time behavior of weak solutions to d-dimensional micropolar Rayleigh-Bénard problem ⋮ Stability of the 2D anisotropic micropolar Rayleigh–Bénard problem with one direction dissipation ⋮ Uniform regularity estimates of solutions to three dimensional incompressible magnetic Bénard equations with Navier-slip type boundary conditions in half space ⋮ Stability of hydrostatic equilibrium for the 2D magnetic Bénard fluid equations with mixed partial dissipation, magnetic diffusion and thermal diffusivity ⋮ Global regularity for the 2D micropolar Rayleigh-Bénard problem with partial dissipation

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