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 …

This paper rigorously establishes the stabilization effect of a background magnetic field on
electrically conducting fluids, a phenomenon that has been widely observed in physical …

The stability and large-time behavior problem on some partially dissipated systems is not
well-understood. The vorticity gradient of the 2D incompressible Euler equation can grow …

In this paper, we consider the 2-D MHD equations with magnetic resistivity but without
dissipation on the torus. We prove that if the initial data is small in H4 (T2), then the 2-D MHD …

In this paper, we prove the global well-posedness of the 3-D magneto hydrodynamics
(MHD) equations with partial diffusion in the periodic domain when the initial velocity is …

Abstract Califano and Chiuderi (Phys Rev E 60 (PartB): 4701–4707, 1999) conjectured that
the energy of an incompressible Magnetic hydrodynamical system is dissipated at a rate that …

This paper is concerned with the asymptotic behaviors of global strong solutions to the
incompressible non-resistive viscous magnetohydrodynamic (MHD) equations with large …

This paper intends to study an experimentally observed stabilizing phenomenon and to
prove a mathematically rigorous stability result on the perturbations near a background …

In this paper, we prove the asymptotic stability of Couette flow in a strong uniform magnetic
field for the Euler-MHD system, when the perturbations are in Gevrey-1 s,(1 2< s≦ 1) and of …

Physical experiments and numerical simulations have demonstrated that background
magnetic fields stabilize electrically conducting fluids. This paper establishes these …