Turbulence is the most common state of astrophysical flows. In typical astrophysical fluids, turbulence is accompanied by strong magnetic fields, which has a large impact on the dynamics of the turbulent cascade. Recently, there has been a significant breakthrough on the theory of magnetohydrodynamic (MHD) turbulence. For the first time we have a scaling model that is supported by both observat...

Cool weakly ionized gaseous rotating disk form the basis for many models in astrophysics objects. Instabilities against perturbations in such disks play an important role in the theory of the formation of stars and planets. Traditionally, axisymmetric magnetohydrodynamic (MHD) and recently Hall-MHD instabilities have been thoroughly studied as providers of an efficient mechanism for radial tran...

We present an extension of the Kármám-Howarth theorem to the Lagrangian averaged magnetohydrodynamic (LAMHD−α) equations. The scaling laws resulting as a corollary of this theorem are studied in numerical simulations, as well as the scaling of the longitudinal structure function exponents indicative of intermittency. Numerical simulations are presented both for freely decaying and for forced tw...

The standing magnetohydrodynamic (MHD) modes in a cylindrical incompressible magnetic flux tube modelled as a straight core surrounded by a magnetically twisted annulus, both embedded in a straight ambient external field, are considered. The dispersion relation for the MHD waves is derived and solved numerically to obtain the frequencies of both the kink (m = 1) and fluting (m = 2, 3) waves. Da...

Simulation results of three-dimensional (3D) stationary magnetohydrodynamic (MHD) bow-shock flows around perfectly conducting spheres are presented. For strong upstream magnetic field a new complex bow-shock flow topology arises consisting of two consecutive interacting shock fronts. It is shown that the leading shock front contains a segment of intermediate 1-3 shock type. This is the first co...

[1] The local three-dimensional structure of magnetic reconnection has been measured for the first time in a magnetohydrodynamic (MHD) laboratory plasma at the Swarthmore Spheromak Experiment. An array of 600 magnetic probes which resolve ion inertial length and MHD time scale dynamics on a single shot basis measured the magnetic structure of partial spheromak merging events. Counter-helicity s...

Magnetohydrodynamics MHD concerns the motion of a conducting fluid in an electromagnetic field with a very wide range of applications. The dynamic motion of the fluids and the magnetic field strongly interact each other, and thus, both the hydrodynamic and electrodynamic effects have to be considered. The governing equations of the plane magnetohydrodynamic compressible flows have the following...

The H-1NF is uniquely equipped to study magnetic configurations because of its combination of precisely controllable power supplies, the flexible coil set and the permanently installed wire-tomography mapping system. This precision and flexibility in magnetic configuration make H-1 ideal for magnetic island studies, exploring the range of magnetohydrodynamic (MHD) instabilities appearing in H-1...

We study the n-dimensional magnetohydrodynamic-α (MHD-α) model in the whole space. Various regularity criteria are established with n ≤ 8, in this paper. As a corollary, the strong solution to this model exists globally, as n ≤ 4. When n = 4, uniqueness of weak solutions is also proved.

This paper is concerned with the Liouville type theorems for 3D stationary incompressible Hall-magnetohydrodynamic (Hall-MHD) equations. We establish that under some sufficient conditions in local Morrey spaces, solutions of Hall-MHD equations are identically zero. In particular, we also prove results MHD on ℝ 3 $$ {\mathbb{R}}^3 . Our extend and generalize classical Navier–Stokes