Well-posedness for the incompressible Hall-MHD equations in low regularity spaces

DOI10.1007/s00009-018-1096-xzbMath1392.35241OpenAlexW2791498624WikidataQ130170376 ScholiaQ130170376MaRDI QIDQ1635742

Yanbin Tang, Xing Wu, Yanghai Yu

Publication date: 1 June 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1096-x

zbMATH Keywords

well-posednessHall-MHD equationslow regularity Sobolev space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Strong solutions to PDEs (35D35)

Related Items (14)

Well-posedness results for the 3D incompressible Hall-MHD equations ⋮ Initial boundary value problem for 3D Boussinesq system with the thermal damping ⋮ Global smooth solutions to the 3D generalized Hall-magnetohydrodynamic equations with large data ⋮ On the well-posedness of magnetohydrodynamics system with Hall and ion-slip in critical spaces ⋮ Well-posedness for the incompressible Hall-MHD system with initial magnetic field belonging to \(H^{\frac{3}{2}}(\mathbb{R}^3)\) ⋮ 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 ⋮ Continuous dependence of solutions in low regularity spaces for the Hall-MHD equations ⋮ Well-posedness for the Hall-magnetohydrodynamics system in critical space ⋮ The continuous dependence for the Hall-MHD equations with fractional magnetic diffusion ⋮ On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces ⋮ A class large solution of the 3D Hall-magnetohydrodynamic equations ⋮ On the global existence to Hall-MHD system

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