Global smooth axisymmetic solutions of the Boussinesq equations for magnetohydrodynamics convection
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Publication:2289461
DOI10.1007/s00021-019-0468-8zbMath1433.35258OpenAlexW2997501392MaRDI QIDQ2289461
Publication date: 28 January 2020
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-019-0468-8
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Axially symmetric solutions to PDEs (35B07)
Related Items (13)
One component regularity criteria for the axially symmetric MHD-Boussinesq system ⋮ Global well-posedness of 3d axisymmetric MHD-Boussinesq system with nonzero swirl ⋮ Global regularity of solutions for the 3D non-resistive and non-diffusive MHD-Boussinesq system with axisymmetric data ⋮ Local well-posedness of Boussinesq equations for MHD convection with fractional thermal diffusion in Sobolev space \(H^s (\mathbb{R}^n) \times H^{s+1-\epsilon} (\mathbb{R}^n) \times H^{s + \alpha - \epsilon} (\mathbb{R}^n)\) ⋮ Stability and large time behavior for the 2D BMHD system with partial dissipation and thermal damping ⋮ On the large data global well-posedness of inviscid axially symmetric MHD-Boussinesq system ⋮ On the stability of hydrostatic equilibrium in a uniform magnetic field with partial dissipation ⋮ Global well-posedness and asymptotic behavior of the 3D MHD-Boussinesq equations ⋮ Stability of hydrostatic equilibrium in a uniform magnetic field with mixed partial dissipation ⋮ Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field with vertical dissipation ⋮ Critical conditions on \(w^\theta\) imply the regularity of axially symmetric MHD-Boussinesq systems ⋮ Global well-posedness and decay estimates of strong solutions to the nonhomogeneous Boussinesq equations for magnetohydrodynamics convection ⋮ Stability of hydrostatic equilibrium for the 2D BMHD system with partial dissipation
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