Stability near hydrostatic equilibrium to the three-dimensional magnetic Bénard fluid equations with partial dissipation
DOI10.1216/rmj.2023.53.983zbMath1529.35417OpenAlexW4385079433MaRDI QIDQ6134932
Yajie Zhang, Jiang Han, Jialiang Wang
Publication date: 23 August 2023
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-3/STABILITY-NEAR-HYDROSTATIC-EQUILIBRIUM-TO-THE-THREE-DIMENSIONAL-MAGNETIC-B%c3%89NARD/10.1216/rmj.2023.53.983.full
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05) Free convection (76R10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Diffusive and convective heat and mass transfer, heat flow (80A19)
Cites Work
- Global well-posedness of the 2D Boussinesq equations with vertical dissipation
- On the global well-posedness for the Boussinesq system with horizontal dissipation
- Global small solutions of 2-D incompressible MHD system
- On the attractor for the semi-dissipative Boussinesq equations
- On the local well-posedness and a Prodi-Serrin-type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion
- Nonlinear Rayleigh-Taylor instability for nonhomogeneous incompressible viscous magnetohydrodynamic flows
- On linear instability and stability of the Rayleigh-Taylor problem in magnetohydrodynamics
- On two-dimensional magnetic Bénard problem with mixed partial viscosity
- Nonlinear stability of the magnetic Bénard problem via a generalized energy method
- Necessary and sufficient conditions for nonlinear stability in the magnetic Bénard problem
- Global classical solutions of three dimensional viscous MHD system without magnetic diffusion on periodic boxes
- Nonlinear stability and instability in the Rayleigh-Taylor problem of stratified compressible MHD fluids
- Nonlinear thermal instability in compressible viscous flows without heat conductivity
- Stability near hydrostatic equilibrium to the three-dimensional Boussinesq equations with partial dissipation
- 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
- On inhibition of the Rayleigh-Taylor instability by a horizontal magnetic field in ideal MHD fluids with velocity damping
- Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion
- On inhibition of thermal convection instability by a magnetic field under zero resistivity
- On the dynamical stability and instability of parker problem
- Global solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium
- Smoothing and stabilization effects of magnetic field on electrically conducting fluids
- Stability of hydrostatic equilibrium for the 2D magnetic Bénard fluid equations with mixed partial dissipation, magnetic diffusion and thermal diffusivity
- Higher-order global regularity of an inviscid Voigt-regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations
- On magnetic inhibition theory in non-resistive magnetohydrodynamic fluids
- Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
- Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
- Vorticity and Incompressible Flow
- On effects of viscosity and magnetic fields on the largest growth rate of linear Rayleigh–Taylor instability
- Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion
- On the Rayleigh–Taylor Instability for Incompressible, Inviscid Magnetohydrodynamic Flows
- Instability of the abstract Rayleigh–Taylor problem and applications
- On the Stabilizing Effect of the Magnetic Fields in the Magnetic Rayleigh--Taylor Problem
- On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium
- Stabilization of a Background Magnetic Field on a 2 Dimensional Magnetohydrodynamic Flow
- On the Rayleigh–Taylor Instability for the Incompressible Viscous Magnetohydrodynamic Equations
- Global Small Solutions to an MHD‐Type System: The Three‐Dimensional Case
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Stability near hydrostatic equilibrium to the three-dimensional magnetic Bénard fluid equations with partial dissipation