Electromagnetic fields induced by surface ring waves in the deep sea [PDF]
arXiv, 2014 The paper deals with electromagnetic effects associated with a radially symmetric system of progressive surface waves in the deep sea, induced by underwater oscillating sources or by dispersive decay of the initial localized perturbations of the sea surface.
arxiv
Hölder continuity of solutions to the kinematic dynamo equations [PDF]
, 2014 We study the propagation of regularity of solutions to a three dimensional system of linear parabolic PDE known as the kinematic dynamo equations. The divergence free drift velocity is assumed to be at the critical regularity level with respect to the natural scaling of the equations.
arxiv +1 more source
The continuous dependence for the Hal-MHD equations with fractional magnetic diffusion [PDF]
arXiv, 2018 In this paper we show that the solutions to the incompressible Hall-MHD system with fractional magnetic diffusion depend continuously on the initial data in $H^s(\mathbb{R}^d)$, $s>1+\frac{d}{2}$.
arxiv
Pattern Formation and Dynamic Transition for Magnetohydrodynamic Convection [PDF]
arXiv, 2011 The main objective of this paper is to describe the dynamic transition of the incompressible MHD equations in a three dimensional (3D) rectangular domain from a perspective of pattern formation.
arxiv
On partial regularity for the steady Hall magnetohydrodynamics system [PDF]
, 2015 We study partial regularity of suitable weak solutions of the steady Hall magnetohydrodynamics equations in a domain $\Omega \subset \Bbb R^3$. In particular we prove that the set of possible singularities of the suitable weak solution has Hausdorff dimension at most one.
arxiv +1 more source
Regularity of the $3D$ stationary Hall magnetohydrodynamic equations on the plane [PDF]
, 2016 We study the regularity of weak solutions to the 3D valued stationary Hall magnetohydrodynamic equations on $ \Bbb R^2$. We prove that every weak solution is smooth. Furthermore, we prove a Liouville type theorem for the Hall equations.
arxiv +1 more source
MHD Pulsatile Flow through a Porous Medium
Journal of Applied Fluid Mechanics, 2014 This paper develops a mathematical model with an aim to compute the analytic solution for the MHD pulsatile flow driven by an unsteady pressure gradient between permeable beds of a viscous incompressible Newtonian fluid saturated porous medium.
Rajnish Kumar, B.G. Prasad
doaj
Lie Group analysis of Plasma equilibrium equations [PDF]
arXiv, 2002 In this paper we perform Lie group analysis of systems of partial differential equations which describe different cases of classical plasma equilibria, and find groups of transformations admitted by those equations in several important cases. We also give a recipe how to apply Lie formalism to look for B\"{a}cklund transformations between systems of ...
arxiv
On the Inertial Range Bounds of K-41-like Magnetohydrodynamics Turbulence. [PDF]
Entropy (Basel), 2022 Tegegn TA.
europepmc +1 more source
Small viscosity method and criteria for shock wave existence in relativistic magnetic hydrodynamics [PDF]
Ukrainian Journ. Phys. (2005) V.50, ?11, P. 1288-1294, 2005 We obtain criteria for shock wave (SW)existence in relativistic magnetic hydrodynamics with no suppositions about convexity of the equation of state. Method of derivation involves consideration of a continuous SW profile in presence of Landau-Lifshitz relativistic viscosity tensor with both non-zero viscosity coefficients.
arxiv