Global Well-posedness of two-dimensional Magnetohydrodynamic Flows with Partial Dissipation and Magnetic Diffusion
From MaRDI portal
Publication:5253468
DOI10.1137/140959821zbMath1323.35143OpenAlexW2023626934MaRDI QIDQ5253468
Publication date: 26 May 2015
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/140959821
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05)
Related Items (61)
Stability and time decay rates of the 2D magneto-micropolar equations with partial dissipation ⋮ Stabilizing effect of magnetic field on the 2D ideal magnetohydrodynamic flow with mixed partial damping ⋮ Global regularity of the \(2 \frac{1}{2} \operatorname{D}\) magneto-micropolar fluid flows with partial magnetic diffusion ⋮ Global regularity of the 2D anisotropic magnetic Bénard system with vertical dissipation ⋮ On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation ⋮ Global existence and decay of smooth solutions for the 3-D MHD-type equations without magnetic diffusion ⋮ Global Existence and Time-decay Rates of Solutions to 2D Magneto-micropolar Fluid Equations with Partial Viscosity ⋮ Global regularity for the 3D MHD system with partial viscosity and magnetic diffusion terms ⋮ On two-dimensional magnetic Bénard problem with mixed partial viscosity ⋮ Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction ⋮ On two-dimensional incompressible magneto-micropolar system with mixed partial viscosity ⋮ Stability of 2D inviscid MHD equations with only vertical magnetic diffusion on T2 ⋮ Global regularity and decay estimates for 2D magneto-micropolar equations with partial dissipation ⋮ The 2D magnetohydrodynamic system with Euler‐like velocity equation and partial magnetic diffusion ⋮ Time-periodic solutions for 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion ⋮ Global regularity of 2D incompressible magneto-micropolar fluid equations with partial viscosity ⋮ Stabilizing effect of the magnetic field and large-time behavior of 2D incompressible MHD system with vertical dissipation ⋮ Stability for a system of 2D incompressible anisotropic magnetohydrodynamic equations ⋮ Global well-posedness of incompressible Bénard problem with zero dissipation or zero thermal diffusivity ⋮ On the blow-up criterion for the Hall-MHD problem with partial dissipation in \(\mathbb{R}^3\) ⋮ Stability and exponential decay for magnetohydrodynamic equations ⋮ Large time behavior and stability for two-dimensional magneto-micropolar equations with partial dissipation ⋮ Blow-up criteria for the 2½D magnetic Bénard fluid system with partial viscosity ⋮ Global well‐posedness for incompressible flow in porous media with partial diffusion or fractional diffusion ⋮ Stability and optimal decay for the 3D magnetohydrodynamic equations with only horizontal dissipation ⋮ Optimal decay rates for \(n\)-dimensional generalized magnetohydrodynamic equations ⋮ Global well-posedness for the 2D incompressible magneto-micropolar fluid system with partial viscosity ⋮ Global regularity for the 2D magnetic Bénard fluid system with mixed partial viscosity ⋮ Global wellposedness of magnetohydrodynamics for Boussinesq system with partial viscosity and zero magnetic diffusion ⋮ Global existence of smooth solutions for three-dimensional magnetic Bénard system with mixed partial dissipation, magnetic diffusion and thermal diffusivity ⋮ Stabilization of a Background Magnetic Field on a 2 Dimensional Magnetohydrodynamic Flow ⋮ Sharp time decay rates of H 1 weak solutions for the 2D MHD equations with linear damping velocity ⋮ Smoothing and stabilization effects of magnetic field on electrically conducting fluids ⋮ Global regularity results for the 212 D magnetic Bénard system with mixed partial viscosity ⋮ Global regularity of the 2D magnetohydrodynamic equations with fractional anisotropic dissipation ⋮ Global well-posedness for magneto-micropolar system in \(2 \frac{1}{2}\) dimensions ⋮ Global well-posedness of two-dimensional magneto-micropolar equations with partial dissipation ⋮ On regularity criteria of the 2D generalized MHD equations ⋮ Asymptotic stability of stationary solutions for magnetohydrodynamic equations ⋮ The 3D incompressible magnetohydrodynamic equations with fractional partial dissipation ⋮ Large time decay of solutions for the 3D magneto-micropolar equations ⋮ Global well-posedness for the \(2\frac{1}{2}\)D incompressible magneto-micropolar fluid equations with mixed partial viscosity ⋮ On the local well-posedness and a Prodi-Serrin-type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion ⋮ Global regularity and time decay for the 2D magnetohydrodynamic equations with fractional dissipation and partial magnetic diffusion ⋮ Global strong solutions to the 3D incompressible MHD equations with density-dependent viscosity ⋮ Global regularity of the 2D magnetic micropolar fluid flows with mixed partial viscosity ⋮ Blow-up criteria of smooth solutions for magnetic Bénard system with partial viscosity ⋮ The 3D Boussinesq equations with regularity in one directional derivative of the pressure ⋮ Large time behavior for two-dimensional magneto-micropolar equations with only micro-rotational dissipation and magnetic diffusion ⋮ Optimal decay rates and the global attractors of the 2D fully dissipative magnetohydrodynamics system ⋮ Global regularity for the \(2\frac{1}{2}\)D incompressible Hall-MHD system with partial dissipation ⋮ Remarks on pressure regularity criterion for the 3D Boussinesq equations ⋮ A logarithmic regularity criterion for the two-dimensional MHD equations ⋮ Global regularity for the 2D MHD and tropical climate model with horizontal dissipation ⋮ Global well‐posedness of 2D nonlinear Boussinesq equations with mixed partial viscosity and thermal diffusivity ⋮ Global existence of three-dimensional incompressible magneto-micropolar system with mixed partial dissipation, magnetic diffusion and angular viscosity ⋮ Influence of a background magnetic field on a 2D magnetohydrodynamic flow ⋮ Global stability solution of the 2D MHD equations with mixed partial dissipation ⋮ Global Regularity for the 2D MHD Equations with Partial Hyper-resistivity ⋮ Global weak solutions and regularity for two-dimensional Boussinesq equations with partial dissipation and thermal diffusivity ⋮ Regularity criteria for the two-and-half-dimensional magnetic Bénard system with partial dissipation, magnetic diffusion, and thermal diffusivity
Cites Work
- Global regularity for a class of generalized magnetohydrodynamic equations
- Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
- A regularity criterion for the 2D MHD system with zero magnetic diffusivity
- Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor
- BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
- Two regularity criteria for the 3D MHD equations
- Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-\(\alpha\)-MHD model
- Remarks on the blowup criteria for Oldroyd models
- Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
- Viscous and inviscid magneto-hydrodynamics equations
- Global classical solutions for MHD system
- Generalized MHD equations.
- Regularity results for weak solutions of the 3D MHD equations.
- Bounds and new approaches for the 3D MHD equations
- The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
- Regularity criteria for the 2D MHD system with horizontal dissipation and horizontal magnetic diffusion
- On the regularity of weak solutions to the magnetohydrodynamic equations
- Inéquations en thermoélasticité et magnétohydrodynamique
- Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions
- Some mathematical questions related to the mhd equations
- Regularity criteria for incompressible magnetohydrodynamics equations in three dimensions
- Regularity Criteria for the Generalized MHD Equations
This page was built for publication: Global Well-posedness of two-dimensional Magnetohydrodynamic Flows with Partial Dissipation and Magnetic Diffusion
