Nonunique Weak Solutions in Leray--Hopf Class for the Three-Dimensional Hall-MHD System
M Dai - SIAM journal on mathematical analysis, 2021 - SIAM
Nonunique weak solutions in Leray--Hopf class are constructed for the three-dimensional
magneto-hydrodynamics with Hall effect. We adapt the widely appreciated convex …
magneto-hydrodynamics with Hall effect. We adapt the widely appreciated convex …
Local well-posedness for the Hall-MHD system in optimal Sobolev spaces
M Dai - Journal of differential equations, 2021 - Elsevier
We show that the viscous resistive magnetohydrodynamics system with Hall effect is locally
well-posed in H s (R 3)× H s+ 1− ε (R 3) with s> 1 2 and any small enough ε> 0 such that s …
well-posed in H s (R 3)× H s+ 1− ε (R 3) with s> 1 2 and any small enough ε> 0 such that s …
[HTML][HTML] Long time behavior of solutions to the 3D Hall-magneto-hydrodynamics system with one diffusion
This paper studies the asymptotic behavior of smooth solutions to the generalized Hall-
magneto-hydrodynamics system (1.1) with one single diffusion on the whole space R 3. We …
magneto-hydrodynamics system (1.1) with one single diffusion on the whole space R 3. We …
[HTML][HTML] A class large solution of the 3D Hall-magnetohydrodynamic equations
J Li, Y Yu, W Zhu - Journal of Differential Equations, 2020 - Elsevier
A class large solution of the 3D Hall-magnetohydrodynamic equations - ScienceDirect Skip
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On the continuation principle of local smooth solution for the Hall-MHD equations
Full article: On the continuation principle of local smooth solution for the Hall-MHD equations Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log …
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log …
Beale–Kato–Majda regularity criterion of smooth solutions for the Hall-MHD equations with zero viscosity
In this paper, we investigate the Cauchy problem for the 3D incompressible Hall-MHD
equations with zero viscosity. We prove the Beale–Kato–Majda regularity criterion of smooth …
equations with zero viscosity. We prove the Beale–Kato–Majda regularity criterion of smooth …
Global existence of 2D electron MHD near a steady state
M Dai - arxiv preprint arxiv:2306.13036, 2023 - arxiv.org
We study the electron magnetohydrodynamics (MHD) in two dimensional geometry, which
has a rich family of steady states. In an anisotropic resistivity context, we show global in time …
has a rich family of steady states. In an anisotropic resistivity context, we show global in time …
On uniqueness and helicity conservation of weak solutions to the electron-MHD system
On Uniqueness and Helicity Conservation of Weak Solutions to the Electron-MHD System |
Journal of Mathematical Fluid Mechanics Skip to main content SpringerLink Account Menu Find …
Journal of Mathematical Fluid Mechanics Skip to main content SpringerLink Account Menu Find …
Dissipation wavenumber and regularity for electron magnetohydrodynamics
M Dai, C Wu - Journal of Differential Equations, 2023 - Elsevier
We consider the electron magnetohydrodynamics (MHD) with static background ion flow. A
special situation of B (x, y, t)=∇×(ae→ z)+ be→ z with scalar-valued functions a (x, y, t) and b …
special situation of B (x, y, t)=∇×(ae→ z)+ be→ z with scalar-valued functions a (x, y, t) and b …
[HTML][HTML] Global existence and exponential stability of solutions for planar compressible Hall-magnetohydrodynamic equations
Q Tao, Y Yang, Z Yao - Journal of Differential Equations, 2017 - Elsevier
An initial-boundary value problem for Hall-magnetohydrodynamics in one space dimension
with general large initial data is investigated. We establish uniform pointwise positive lower …
with general large initial data is investigated. We establish uniform pointwise positive lower …