On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces
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Publication:4965946
DOI10.1080/03605302.2020.1822392zbMath1462.35286arXiv1911.03246OpenAlexW3088408330MaRDI QIDQ4965946
Publication date: 18 March 2021
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.03246
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Many-body theory; quantum Hall effect (81V70) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)
Related Items (26)
Well-posedness results for the 3D incompressible Hall-MHD equations ⋮ Global regularity for the 3D axisymmetric incompressible Hall-MHD system with partial dissipation and diffusion ⋮ The global solvability of the Hall-magnetohydrodynamics system in critical Sobolev spaces ⋮ Active vector models generalising 3D Euler and electron–MHD equations ⋮ On uniqueness and helicity conservation of weak solutions to the electron-MHD system ⋮ On well-posedness of generalized Hall-magneto-hydrodynamics ⋮ Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations ⋮ Global well-posedness for the 3D axisymmetric Hall-MHD system with horizontal dissipation ⋮ The optimal temporal decay rates for compressible Hall-magnetohydrodynamics system ⋮ Global solutions for the incompressible Hall-magnetohydrodynamics system around constant equilibrium states ⋮ On the existence and temporal asymptotics of solutions for the two and half dimensional Hall MHD ⋮ Almost sure well-posedness for Hall MHD ⋮ Well-posedness for the incompressible Hall-MHD system with initial magnetic field belonging to \(H^{\frac{3}{2}}(\mathbb{R}^3)\) ⋮ Global well-posedness of the incompressible Hall-MHD system in critical spaces ⋮ On the global well-posedness for the compressible Hall-MHD system ⋮ Large time behavior for the Hall-MHD equations with horizontal dissipation ⋮ Global regularity for the 3D Hall-MHD equations with low regularity axisymmetric data ⋮ Global small solutions to the inviscid Hall-MHD system ⋮ Global weak solutions to the density-dependent Hall-magnetohydrodynamics system ⋮ On the global existence to Hall-MHD system ⋮ Derivation of the Hall-MHD equations from the Navier-Stokes-Maxwell equations ⋮ 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 well-posedness for the incompressible Hall-magnetohydrodynamic system in critical Fourier-Besov spaces ⋮ The 3D incompressible Hall-MHD equations: global well-posedness
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