[HTML][HTML] Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion

X Ren, J Wu, Z **ang, Z Zhang - Journal of Functional Analysis, 2014‏ - Elsevier
Global existence and decay of smooth solution for the 2-D MHD equations without magnetic
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On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium

H Abidi, P Zhang - Communications on Pure and Applied …, 2017‏ - Wiley Online Library
In this paper, we prove the global existence of smooth solutions to the three‐dimensional
incompressible magnetohydrodynamical system with initial data close enough to the …

Global well-posedness of an initial-boundary value problem for viscous non-resistive MHD systems

Z Tan, Y Wang - SIAM Journal on Mathematical Analysis, 2018‏ - SIAM
This paper concerns the viscous and non-resistive MHD systems which govern the motion of
electrically conducting fluids interacting with magnetic fields. We consider an initial …

Decay of viscous surface waves without surface tension in horizontally infinite domains

Y Guo, I Tice - Analysis & PDE, 2013‏ - msp.org
We consider a viscous fluid of finite depth below the air, occupying a three-dimensional
domain bounded below by a fixed solid boundary and above by a free moving boundary …

Local well-posedness of the viscous surface wave problem without surface tension

Y Guo, I Tice - Analysis & PDE, 2013‏ - msp.org
We consider a viscous fluid of finite depth below the air, occupying a three-dimensional
domain bounded below by a fixed solid boundary and above by a free moving boundary …

On the stabilizing effect of the magnetic fields in the magnetic Rayleigh--Taylor problem

F Jiang, S Jiang - SIAM Journal on Mathematical Analysis, 2018‏ - SIAM
We investigate the stabilizing effect of the vertical equilibrium magnetic field in the Rayleigh--
Taylor (RT) problem for a nonhomogeneous incompressible viscous magnetohydrodynamic …

Nonlinear stability and instability in the Rayleigh–Taylor problem of stratified compressible MHD fluids

F Jiang, S Jiang - Calculus of Variations and Partial Differential …, 2019‏ - Springer
We establish the stability/instability criteria for the stratified compressible magnetic Rayleigh–
Taylor (RT) problem in Lagrangian coordinates. More precisely, under the stability …

Global well-posedness of free interface problems for the incompressible inviscid resistive MHD

Y Wang, Z **n - Communications in Mathematical Physics, 2021‏ - Springer
We consider the plasma-vacuum interface problem in a horizontally periodic slab impressed
by a uniform non-horizontal magnetic field. The lower plasma region is governed by the …

Long time interface dynamics for gravity Stokes flow

F Gancedo, R Granero-Belinchón… - arxiv preprint arxiv …, 2022‏ - arxiv.org
We study the dynamics of the interface given by two incompressible viscous fluids in the
Stokes regime filling a 2D horizontally periodic strip. The fluids are subject to the gravity …

The viscous surface-internal wave problem: global well-posedness and decay

Y Wang, I Tice, C Kim - Archive for Rational Mechanics and Analysis, 2014‏ - Springer
We consider the free boundary problem for two layers of immiscible, viscous, incompressible
fluid in a uniform gravitational field, lying above a general rigid bottom in a three …