Magnetic reconnection, topological changes in magnetic fields, is a fundamental process in
magnetized plasmas. It is associated with energy release in regions of magnetic field …

Whether or not classical solutions of the 2D incompressible MHD equations without full
dissipation and magnetic diffusion can develop finite-time singularities is a difficult issue. A …

In this paper, we study the regularity of weak solution to the incompressible
magnetohydrodynamic equations. We obtain some sufficient conditions for regularity of …

This paper establishes the local-in-time existence and uniqueness of strong solutions in H s
for s> n/2 to the viscous, non-resistive magnetohydrodynamics (MHD) equations in R n, n …

Solutions of the d-dimensional generalized MHD (GMHD) equations [Formula: see text] are
studied in this paper. We pay special attention to the impact of the parameters ν, η, α and β …

Two regularity criteria for the 3D MHD equations Page 1 J. Differential Equations 248 (2010)
2263–2274 Contents lists available at ScienceDirect Journal of Differential Equations www.elsevier.com/locate/jde …

We survey recent results in the mathematical literature on the equations of incompressible
fluid dynamics, highlighting common themes and how they might contribute to the …

In this paper we consider the regularity criteria for the solution to the 3D MHD equations. It is
proved that if the gradient of the velocity field belongs to Lα, γ with 2/α+ 3/γ≤ 2 or the …

Magnetic field lines in astrophysical plasmas are expected to be frozen-in at scales larger
than the ion gyroradius. The rapid reconnection of magnetic-flux structures with dimensions …

Regularity criteria for the generalized viscous MHD equations Critères de régularité pour
les équations MHD généralisées Page 1 Ann. IH Poincaré – AN 24 (2007) 491–505 www.elsevier.com/locate/anihpc …