Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects
From MaRDI portal
Publication:2411361
DOI10.1016/j.jde.2017.08.034zbMath1375.35308arXiv1702.08209OpenAlexW2594911492MaRDI QIDQ2411361
Publication date: 20 October 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.08209
Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)
Related Items (17)
Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects* ⋮ Well-posedness of the 3D Boussinesq-MHD equations with partial viscosity and damping ⋮ 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 ⋮ Global well-posedness of the 3D Boussinesq-MHD system without heat diffusion ⋮ Decay for the 3D anisotropic MHD-Boussinesq equations near the hydrostatic equilibrium ⋮ 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 ⋮ Global well-posedness and decay estimates of strong solutions to the nonhomogeneous Boussinesq equations for magnetohydrodynamics convection ⋮ Unnamed Item ⋮ Global smooth axisymmetic solutions of the Boussinesq equations for magnetohydrodynamics convection ⋮ Global regularity of 2D temperature-dependent MHD-Boussinesq equations with zero thermal diffusivity ⋮ Stability of hydrostatic equilibrium for the 2D BMHD system with partial dissipation ⋮ Non-uniform dependence on initial data for the 2D MHD-Boussinesq equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On 2-D Boussinesq equations for MHD convection with stratification effects
- Global wellposedness of an inviscid \(2D\) Boussinesq system with nonlinear thermal diffusivity
- Global regularity for the 3D axisymmetric MHD equations with horizontal dissipation and vertical magnetic diffusion
- Global small solutions of 2-D incompressible MHD system
- Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
- Global well-posedness for the 2-D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity
- Initial-boundary value problem for two-dimensional viscous Boussinesq equations
- Initial boundary value problem for two-dimensional viscous Boussinesq equations for MHD convection
- BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
- On the global well-posedness for Boussinesq system
- Global-wellposedness of 2D Boussinesq equations with mixed partial temperature-dependent viscosity and thermal diffusivity
- Global solutions to the 2D viscous, non-resistive MHD system with large background magnetic field
- The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
- Existence of solution for a density-dependent magnetohydrodynamic equation
- On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves
- Global well-posedness of the incompressible magnetohydrodynamics
- Global well-posedness of the viscous Boussinesq equations
- Remarks on a nonhomogeneous model of magnetohydrodynamics.
- Global well-posedness of the two-dimensional incompressible magnetohydrodynamics system with variable density and electrical conductivity
- Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
- On axially symmetric incompressible magnetohydrodynamics in three dimensions
- Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
- Global regularity for the initial-boundary value problem of the 2-D Boussinesq system with variable viscosity and thermal diffusivity
- On the regularity of weak solutions to the magnetohydrodynamic equations
- Global regularity for the 2D Boussinesq equations with partial viscosity terms
- Inéquations en thermoélasticité et magnétohydrodynamique
- Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions
- Global well-posedness for the two-dimensional nonlinear Boussinesq equations with vertical dissipation
- On regularity criterion to the 3D axisymmetric incompressible MHD equations
- GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
- Some mathematical questions related to the mhd equations
- On the global well-posedness of the Boussinesq system with zero viscosity
- Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion
- Les théorèmes de Leray et de Fujita-Kato pour le système de Boussinesq partiellement visqueux
- Global well‐posedness of 2D nonlinear Boussinesq equations with mixed partial viscosity and thermal diffusivity
- Global Small Solution to the 2D MHD System with a Velocity Damping Term
- Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System
- Global Small Solutions to an MHD‐Type System: The Three‐Dimensional Case
- The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion
- Long-time solvability of the Navier-Stokes-Boussinesq equations with almost periodic initial large data
This page was built for publication: Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects
