Global regularity for a special family of axisymmetric solutions to the three-dimensional magnetic Bénard problem

DOI10.1080/00036811.2017.1376661zbMath1400.35057OpenAlexW2754438050MaRDI QIDQ4689874

Tong Tang, Zujin Zhang

Publication date: 22 October 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1376661

zbMATH Keywords

axisymmetric magnetic Bénard problem

Mathematics Subject Classification ID

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

Related Items (7)

Global existence of weak solution and regularity criteria for the 2D Bénard system with partial dissipation ⋮ Global regularity of solutions for the 3D non-resistive and non-diffusive MHD-Boussinesq system with axisymmetric data ⋮ Global stability of large solutions to the 3D magnetic Bénard problem ⋮ Global well-posedness of 3D axisymmetric MHD system with large swirl magnetic field ⋮ Blow-up criteria for the 2½D magnetic Bénard fluid system with partial viscosity ⋮ Global regularity results for the 212 D magnetic Bénard system with mixed partial viscosity ⋮ Blow-up criteria and regularity criterion for the three-dimensional magnetic Bénard system in the multiplier space

Cites Work

• On the global well-posedness for the Boussinesq system with horizontal dissipation
• On two-dimensional magnetic Bénard problem with mixed partial viscosity
• Necessary and sufficient conditions for nonlinear stability in the magnetic Bénard problem
• On axially symmetric flows in \(\mathbb{R}^3\)
• Global Cauchy problem for a 2D magnetic Bénard problem with zero thermal conductivity
• On axially symmetric incompressible magnetohydrodynamics in three dimensions
• Commutator estimates and the euler and navier-stokes equations
• The Equation u ′ + A (t )u = f in a Hilbert Space and L^P -Estimates For Parabolic Equations
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