This paper surveys recent developments on the global regularity and related problems on
the 2D incompressible magnetohydrodynamic (MHD) equations with partial or fractional …

The Navier-Stokes equation on the Euclidean space $\mathbb {R}^ 3$ can be expressed in
the form $\partial _t u=\Delta u+ B (u, u) $, where $ B $ is a certain bilinear operator on …

This paper examines the global (in time) regularity of classical solutions to the two-
dimensional (2D) incompressible magnetohydrodynamics (MHD) equations with only …

This paper studies the global well-posedness of the incompressible magnetohydrodynamic
(MHD) system with a velocity damping term. We establish the global existence and …

This paper is concerned with the global regularity of the 2D (two-dimensional) generalized
magnetohydrodynamic equations with only magnetic diffusion Λ^ 2 β b Λ 2 β b. It is proved …

In this article we study the global regularity of 2D generalized magnetohydrodynamic
equations (2D GMHD), in which the dissipation terms are− ν (−△) αu and− κ (−△) βb. We …

This paper examines the initial-value problem for the two-dimensional
magnetohydrodynamic equation with only magnetic diffusion (without velocity dissipation) …

This paper focuses on a system of the 2D magnetohydrodynamic (MHD) equations with the
kinematic dissipation given by the fractional operator (-Δ)^ α (-Δ) α and the magnetic …

In this paper, we establish the global well-posedness and conditional global well-posedness
of incompressible magnetohydrodynamic (MHD) flows with mixed partial dissipation and …

Global regularity of the two-dimensional magneto-micropolar fluid system with zero angular
viscosity AIMS share this content in Facebook share this content in Twitter share this content …