On the one-dimensional relativistic induction equation

被引：0

作者：

Nunez, Manuel ^{[1
,2
]}

机构：

[1] Univ Valladolid, Secc Matemat, E-47011 Valladolid, Spain

[2] Univ Valladolid, IMUVA, E-47011 Valladolid, Spain

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2014年 / 37卷 / 16期

关键词：

relativistic magnetohydrodynamics; hyperbolic equations; singular perturbation problems; MAGNETOHYDRODYNAMICS; SCHEME; MHD;

D O I：

10.1002/mma.2987

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The induction equation of relativistic magnetohydrodynamics is considered as a singular perturbation problem for small magnetic diffusivity. When the quantities depend on a single space variable, the resulting hyperbolic equation may be studied with techniques of asymptotic analysis. Different approximations are found for initial, intermediate, and large times. The last case is the most difficult; the approximate magnetic flux function satisfies a certain parabolic equation. This equation is studied from the viewpoint of energy dissipation, providing clues on the behavior of the electric and magnetic fields. Copyright (C) 2013 John Wiley & Sons, Ltd.

引用

页码：2419 / 2428

页数：10