Stability and exponential decay of the magnetic Bénard system with horizontal dissipation

DOI10.1016/j.jmaa.2022.126767zbMath1501.35317OpenAlexW4304892673MaRDI QIDQ2097570

Wenting Huang

Publication date: 14 November 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126767

zbMATH Keywords

global stabilitydecaypartial dissipationmagnetic Bénard system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05) Free convection (76R10) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Cites Work

• Unnamed Item
• On the global well-posedness for the Boussinesq system with horizontal dissipation
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• Global strong solution to the three-dimensional density-dependent incompressible magnetohydrodynamic flows
• Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces
• On linear instability and stability of the Rayleigh-Taylor problem in magnetohydrodynamics
• On two-dimensional magnetic Bénard problem with mixed partial viscosity
• Global regularity results for the 2D Boussinesq equations with partial dissipation
• Compactness of weak solutions to the three-dimensional compressible magnetohydrodynamic equations
• Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
• Necessary and sufficient conditions for nonlinear stability in the magnetic Bénard problem
• Global regularity of the 2D anisotropic magnetic Bénard system with vertical dissipation
• Stability for a system of the 2D magnetohydrodynamic equations with partial dissipation
• Nonlinear stability and instability in the Rayleigh-Taylor problem of stratified compressible MHD fluids
• Global well-posedness of the viscous Boussinesq equations
• Spectral method for solving two-dimensional Newton-Boussinesq equations
• Global Cauchy problem for a 2D magnetic Bénard problem with zero thermal conductivity
• Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation
• Asymptotic behaviors of global solutions to the two-dimensional non-resistive MHD equations with large initial perturbations
• Global stability of large solutions to the 3D magnetic Bénard problem
• On inhibition of thermal convection instability by a magnetic field under zero resistivity
• Global regularity for the 2D magnetic Bénard fluid system with mixed partial viscosity
• Asymptotic stability and decay rates for the 2D magnetic Bénard fluid equations with mixed partial dissipation, magnetic diffusion and thermal diffusivity
• On magnetic inhibition theory in non-resistive magnetohydrodynamic fluids
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Global weak solutions to the magnetohydrodynamic and Vlasov equations
• Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
• The local well-posedness to the density-dependent magnetic Bénard system with nonnegative density
• Instability of the abstract Rayleigh–Taylor problem and applications
• On the Nonlinear Stability of the Magnetic Bénard Problem with Rotation
• On the Stabilizing Effect of the Magnetic Fields in the Magnetic Rayleigh--Taylor Problem
• Decay of Dissipative Equations and Negative Sobolev Spaces
• Regularity Criteria on the 2D Anisotropic Magnetic Bénard Equations
• Global Small Solution to the 2D MHD System with a Velocity Damping Term
• On the Rayleigh–Taylor Instability for the Incompressible Viscous Magnetohydrodynamic Equations

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