On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics with horizontal dissipation
From MaRDI portal
Publication:5253062
DOI10.1063/1.4921653zbMath1317.76093OpenAlexW1480981072MaRDI QIDQ5253062
Publication date: 4 June 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4921653
Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44)
Related Items (12)
Low Mach number limit of the full compressible Hall-MHD system ⋮ Global regularity for the 3D axisymmetric incompressible Hall-MHD system with partial dissipation and diffusion ⋮ On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation ⋮ Global well-posedness for the 3D axisymmetric Hall-MHD system with horizontal dissipation ⋮ On the blow-up criterion for the Hall-MHD problem with partial dissipation in \(\mathbb{R}^3\) ⋮ Large time behavior for the Hall-MHD equations with horizontal dissipation ⋮ GLOBAL REGULARITY FOR 3D GENERALIZED HALL MAGNETO-HYDRODYNAMICS EQUATIONS ⋮ Asymptotic stability of stationary solutions for Hall magnetohydrodynamic equations ⋮ The 3D incompressible Hall magneto-hydrodynamics equations with partial hyperdissipation ⋮ Regularity criterion for the 3D Hall-magnetohydrodynamic equations involving the vorticity ⋮ The asymptotic stability of the solution to the full Hall-MHD system in \(\mathbb{R}^3\) ⋮ A regularity criterion of smooth solution for the 3D viscous Hall-MHD equations
Cites Work
- Singularity formation for the incompressible Hall-MHD equations without resistivity
- On the global well-posedness for the Boussinesq system with horizontal dissipation
- Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system
- Global regularity for the 3D axisymmetric MHD equations with horizontal dissipation and vertical magnetic diffusion
- Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
- Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor
- Well-posedness for Hall-magnetohydrodynamics
- Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion
- Two regularity criteria for the 3D MHD equations
- On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
- Regularity criteria for the 3D MHD equations via partial derivatives
- Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
- Well-posedness for the axisymmetric incompressible viscous Hall-magnetohydrodynamic equations
- Global small solutions to a complex fluid model in three dimensional
- On axially symmetric incompressible magnetohydrodynamics in three dimensions
- On the blow-up criterion of smooth solutions for Hall-magnetohydrodynamics system with partial viscosity
- On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics
- Global well-posedness for axisymmetric Boussinesq system with horizontal viscosity
- Regularity criteria for the generalized viscous MHD equations
- On the regularity of weak solutions to the magnetohydrodynamic equations
- On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations
- Inéquations en thermoélasticité et magnétohydrodynamique
- Bifurcation analysis of magnetic reconnection in Hall-MHD-systems
- Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions
- On the temporal decay for the Hall-magnetohydrodynamic equations
- Some mathematical questions related to the mhd equations
- Regularity criteria for the three-dimensional Navier-Stokes equations
- Regularity criteria for incompressible magnetohydrodynamics equations in three dimensions
- Fluids with anisotropic viscosity
- Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System
- Global Small Solutions to an MHD‐Type System: The Three‐Dimensional Case
This page was built for publication: On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics with horizontal dissipation
