[HTML][HTML] On global existence, energy decay and blow-up criteria for the Hall-MHD system
R Wan, Y Zhou - Journal of Differential Equations, 2015 - Elsevier
In this paper, we obtain global existence and energy decay for 3D Hall-
magnetohydrodynamics (Hall-MHD) system with− Δ u and− Δ B. Besides the classical …
magnetohydrodynamics (Hall-MHD) system with− Δ u and− Δ B. Besides the classical …
Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion
Abstract The Hall-magnetohydrodynamics (Hall-MHD) equations, rigorously derived from
kinetic models, are useful in describing many physical phenomena in geophysics and …
kinetic models, are useful in describing many physical phenomena in geophysics and …
[HTML][HTML] Space–time decay estimates for the incompressible viscous resistive MHD and Hall-MHD equations
S Weng - Journal of Functional Analysis, 2016 - Elsevier
In this paper, we address the space–time decay properties for strong solutions to the
incompressible viscous resistive Hall-MHD equations. We obtained the same space–time …
incompressible viscous resistive Hall-MHD equations. We obtained the same space–time …
On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects
On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip
effects Page 1 Z. Angew. Math. Phys. 66 (2015), 1695–1706 c© 2015 Springer Basel 0044-2275/15/041695-12 …
effects Page 1 Z. Angew. Math. Phys. 66 (2015), 1695–1706 c© 2015 Springer Basel 0044-2275/15/041695-12 …
Liouville type theorems for the steady axially symmetric Navier-Stokes and magnetohydrodynamic equations
In this paper we study Liouville properties of smooth steady axially symmetric solutions of
the Navier-Stokes equations. First, we provide another version of the Liouville theorem …
the Navier-Stokes equations. First, we provide another version of the Liouville theorem …
On regularity criteria for the 3D Hall-MHD equations in terms of the velocity
In this paper we establish two new regularity criteria for the Hall-magnetohydrodynamics
(Hall-MHD) system only in terms of the velocity field. By deriving a new system, it is proved …
(Hall-MHD) system only in terms of the velocity field. By deriving a new system, it is proved …
On illposedness of the Hall and electron magnetohydrodynamic equations without resistivity on the whole space
IJ Jeong, SJ Oh - arxiv preprint arxiv:2404.13790, 2024 - arxiv.org
It has been shown in our previous work that the incompressible and irresistive Hall-and
electron-magnetohydrodynamic (MHD) equations are illposed on flat domains $ M=\mathbb …
electron-magnetohydrodynamic (MHD) equations are illposed on flat domains $ M=\mathbb …
Global well-posedness for the 3D incompressible Hall-magnetohydrodynamic equations with Fujita–Kato type initial data
R Wan, Y Zhou - Journal of Mathematical Fluid Mechanics, 2019 - Springer
Abstract Hall-magnetohydrodynamic (Hall-MHD) equations which can be derived from two
fluids model or kinetic models [see Acheritogaray et al.(Kinet Relat Models 4: 901–918 …
fluids model or kinetic models [see Acheritogaray et al.(Kinet Relat Models 4: 901–918 …
Wellposedness of the electron MHD without resistivity for large perturbations of the uniform magnetic field
IJ Jeong, SJ Oh - arxiv preprint arxiv:2402.06278, 2024 - arxiv.org
We prove the local wellposedness of the Cauchy problems for the electron
magnetohydrodynamics equations (E-MHD) without resistivity for possibly large …
magnetohydrodynamics equations (E-MHD) without resistivity for possibly large …
Low regularity well-posedness for the 3D generalized Hall-MHD system
R Wan, Y Zhou - Acta Applicandae Mathematicae, 2017 - Springer
In this paper, we obtain the local well-posedness for the 3D incompressible Hall-
magnetohydrodynamics (Hall-MHD) system with Λ 2 α u \varLambda^2αu and Λ 2 β B …
magnetohydrodynamics (Hall-MHD) system with Λ 2 α u \varLambda^2αu and Λ 2 β B …