[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 …
On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces
R Danchin, J Tan - Communications in Partial Differential …, 2021 - Taylor & Francis
We investigate the existence and uniqueness issues of the 3D incompressible Hall-
magnetohydrodynamic system supplemented with initial velocity u 0 and magnetic field B 0 …
magnetohydrodynamic system supplemented with initial velocity u 0 and magnetic field B 0 …
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 …
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 …
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 …
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 …
[HTML][HTML] Global well-posedness, BKM blow-up criteria and zero h limit for the 3D incompressible Hall-MHD equations
R Wan, Y Zhou - Journal of Differential Equations, 2019 - Elsevier
We consider the Cauchy problem for the 3D incompressible Hall-MHD equations. Firstly, we
prove the global well-posedness under some new conditions, which improve the previous …
prove the global well-posedness under some new conditions, which improve the previous …
On partial regularity for the 3D nonstationary Hall magnetohydrodynamics equations on the plane
We study partial regularity of weak solutions of the three-dimensional (3D) valued
nonstationary Hall magnetohydrodynamics equations on R^2. In particular, we prove the …
nonstationary Hall magnetohydrodynamics equations on R^2. In particular, we prove the …
Weak–strong uniqueness for the Landau–Lifshitz–Gilbert equation in micromagnetics
We consider the time-dependent Landau–Lifshitz–Gilbert equation. We prove that each
weak solution coincides with the (unique) strong solution, as long as the latter exists in time …
weak solution coincides with the (unique) strong solution, as long as the latter exists in time …
[HTML][HTML] Regularity criterion for the 3D Hall-magneto-hydrodynamics
M Dai - Journal of Differential Equations, 2016 - Elsevier
This paper studies the regularity problem for the 3D incompressible resistive viscous Hall-
magneto-hydrodynamic (Hall-MHD) system. The Kolmogorov 41 phenomenological theory …
magneto-hydrodynamic (Hall-MHD) system. The Kolmogorov 41 phenomenological theory …