Regularity criteria for the two-and-half-dimensional magnetic Bénard system with partial dissipation, magnetic diffusion, and thermal diffusivity

DOI10.1186/s13661-019-1130-3OpenAlexW2922287765MaRDI QIDQ2108230

Liangliang Ma, Lei Zhang

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1130-3

zbMATH Keywords

regularity criterionpartial viscositymagnetic Bénard system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45)

Related Items (2)

Global regularity of 2D magnetic Bénard fluid equations with zero kinematic viscosity, almost Laplacian magnetic diffusion and thermal diffusivity ⋮ Blow-up criteria for the 3D Bénard system in Besov spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
• On two-dimensional magnetic Bénard problem with mixed partial viscosity
• The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
• On two-dimensional incompressible magneto-micropolar system with mixed partial viscosity
• Global existence of smooth solutions for three-dimensional magnetic Bénard system with mixed partial dissipation, magnetic diffusion and thermal diffusivity
• The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
• Global Cauchy problem for a 2D magnetic Bénard problem with zero thermal conductivity
• Blow-up criteria and regularity criterion for the three-dimensional magnetic Bénard system in the multiplier space
• Global existence of weak solution and regularity criteria for the 2D Bénard system with partial dissipation
• Global regularity for the 2D magnetic Bénard fluid system with mixed partial viscosity
• Continuous data assimilation for the 2D Bénard convection through velocity measurements alone
• Regularity criterion of the 2D Bénard equations with critical and supercritical dissipation
• Rayleigh-Bénard convection: dynamics and structure in the physical space
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Existence and nonuniqueness of rectangular solutions of the Benard problem
• Inéquations en thermoélasticité et magnétohydrodynamique
• Vorticity and Incompressible Flow
• A regularity criterion for two-and-half-dimensional magnetohydrodynamic equations with horizontal dissipation and horizontal magnetic diffusion
• Some mathematical questions related to the mhd equations
• Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
• Global regularity results for the 212 D magnetic Bénard system with mixed partial viscosity
• Regularity criteria for incompressible magnetohydrodynamics equations in three dimensions
• Global Well-posedness of two-dimensional Magnetohydrodynamic Flows with Partial Dissipation and Magnetic Diffusion

This page was built for publication: Regularity criteria for the two-and-half-dimensional magnetic Bénard system with partial dissipation, magnetic diffusion, and thermal diffusivity