On analyticity and temporal decay rates of solutions to the viscous resistive Hall-MHD system
From MaRDI portal
Publication:5963852
DOI10.1016/j.jde.2016.01.003zbMath1341.35133arXiv1412.8239OpenAlexW6421824MaRDI QIDQ5963852
Publication date: 26 February 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.8239
PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)
Related Items (41)
Well-posedness results for the 3D incompressible Hall-MHD equations ⋮ Local well-posedness and blow-up for the solutions to the axisymmetric inviscid Hall-MHD equations ⋮ The global solvability of the Hall-magnetohydrodynamics system in critical Sobolev spaces ⋮ Well-posedness for the incompressible Hall-MHD equations in low regularity spaces ⋮ Global well-posedness and asymptotic behavior of solutions for the three-dimensional MHD equations with Hall and ion-slip effects ⋮ On the local and global existence of the Hall equations with fractional Laplacian and related equations ⋮ Existence, regularity and uniqueness of weak solutions with bounded magnetic fields to the steady Hall-MHD system ⋮ Steady states of Hall-MHD system ⋮ Decay characterization of solutions to generalized Hall-MHD system in R3 ⋮ Global smooth solutions to the 3D generalized Hall-magnetohydrodynamic equations with large data ⋮ On a single-component regularity criterion for the non-resistive axially symmetric Hall-MHD system ⋮ On the asymptotic behavior of solutions to 3D generalized Hall‐MHD equations ⋮ On the well-posedness of magnetohydrodynamics system with Hall and ion-slip in critical spaces ⋮ On the existence and temporal asymptotics of solutions for the two and half dimensional Hall MHD ⋮ Well-posedness for the incompressible Hall-MHD system with initial magnetic field belonging to \(H^{\frac{3}{2}}(\mathbb{R}^3)\) ⋮ Decay rates of the highest order spatial derivatives for solutions of compressible Hall MHD system with or without Coulomb force ⋮ On the global well-posedness for the compressible Hall-MHD system ⋮ Large time behavior for the Hall-MHD equations with horizontal dissipation ⋮ Upper and lower \(\dot{H}^m\) estimates for solutions to parabolic equations ⋮ Continuous dependence of solutions in low regularity spaces for the Hall-MHD equations ⋮ Global well-posedness for the Hall-magnetohydrodynamics system in larger critical Besov spaces ⋮ Asymptotic behavior of solutions to a new Hall-MHD system ⋮ Global existence and large time behavior of solutions for full compressible Hall-MHD equations ⋮ Global small solutions to the inviscid Hall-MHD system ⋮ Global existence and asymptotic behavior for the 3D generalized Hall-MHD system ⋮ Global well-posedness and analyticity of solutions to three-dimensional Hall-MHD equations ⋮ Decay of solutions to a new Hall-MHD system in \(\mathbb{R}^3\) ⋮ A class of large solutions to the 3D generalized Hall-MHD equations ⋮ The 3D incompressible Hall magneto-hydrodynamics equations with partial hyperdissipation ⋮ Unnamed Item ⋮ The continuous dependence for the Hall-MHD equations with fractional magnetic diffusion ⋮ Regularity criterion for the 3D Hall-magnetohydrodynamic equations involving the vorticity ⋮ On the well-posedness and temporal decay for the 3D generalized incompressible Hall-MHD system ⋮ The asymptotic stability of the solution to the full Hall-MHD system in \(\mathbb{R}^3\) ⋮ Asymptotic behavior of solutions to incompressible electron inertial Hall-MHD system in \(\mathbb{R}^3\) ⋮ Existence of solutions for the magnetohydrodynamics with power-law type nonlinear viscous fluid ⋮ A single-component BKM-type regularity criterion for the inviscid axially symmetric Hall-MHD system ⋮ Space–time decay of solutions to three-dimensional MHD equations with Hall and ion-slip effects ⋮ Regularity criteria for 3D Hall-MHD equations ⋮ On the local and global existence of unique solutions to the Lüst model ⋮ Global existence and optimal decay rates of solutions for compressible Hall-MHD equations
Cites Work
- Unnamed Item
- Singularity formation for the incompressible Hall-MHD equations without resistivity
- Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system
- Well-posedness for Hall-magnetohydrodynamics
- Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion
- Gevrey class regularity for the solutions of the Navier-Stokes equations
- On the singular set and the uniqueness of weak solutions of the Navier- Stokes equations
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- Large-time behaviour of solutions to the magneto-hydrodynamics equations
- Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
- Well-posedness for the axisymmetric incompressible viscous Hall-magnetohydrodynamic equations
- On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics
- Un teorema di unicita per le equazioni di Navier-Stokes
- Bifurcation analysis of magnetic reconnection in Hall-MHD-systems
- On the temporal decay for the Hall-magnetohydrodynamic equations
- Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
- Large time behaviour of solutions to the navier-stokes equations
- Decay Results for Weak Solutions of the Navier-Stokes Equations on Rn
- Commutator estimates and the euler and navier-stokes equations
- Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
- On the decay of higher-order norms of the solutions of Navier–Stokes equations
- On the localization of the magnetic and the velocity fields in the equations of magnetohydrodynamics
- Space-time decay estimates for the incompressible viscous resistive MHD and Hall-MHD equations
This page was built for publication: On analyticity and temporal decay rates of solutions to the viscous resistive Hall-MHD system