Generalized reduced magnetohydrodynamic equations

Reduced magnetohydrodynamic equations with coupled Alfvén and sound wave dynamics

A set of reduced magnetohydrodynamic equations is described that is appropriate for the simulation of auroral Alfvén waves using curvilinear coordinates. These equations include the parallel electric field, ponderomotive force, diamagnetic drift effects, and gravity and rotation, but do not include the fast mode dynamics. The equations are formulated for multiple species, but quasineutrality is...

Global Regularity for a Class of Generalized Magnetohydrodynamic Equations

It remains unknown whether or not smooth solutions of the 3D incompressible MHD equations can develop finite-time singularities. One major difficulty is due to the fact that the dissipation given by the Laplacian operator is insufficient to control the nonlinearity and for this reason the 3D MHD equations are sometimes regarded as “supercritical”. This paper presents a global regularity result ...

On global regularity of 2D generalized magnetohydrodynamic equations

Generalized Relativistic Magnetohydrodynamic Equations for Pair and Electron-Ion Plasmas

We derived one-fluid equations based on a relativistic two-fluid approximation of e pair plasma and electron-ion plasma to reveal the specific relativistic nature of their behavior. Assuming simple condition on the relativistic one-fluid equations, we propose generalized relativistic magnetohydrodynamic (RMHD) equations which satisfy causality. We show the linear analyses of these equations reg...

Magnetohydrodynamic Turbulence: Generalized Energy Spectra

A general framework that incorporates the Iroshnikov-Kraichnan (IK) and Goldreich-Sridhar (GS) phenomenalogies of magnetohydrodynamic (MHD) turbulence is developed. This affords a clarification of the regimes of validity of IK and GS phenomenalogies and hence help resolve some controversies in this problem. Magnetohydrodynamic (MHD) flows that occur naturally (like astrophysical situations) and...