Published September 1983 | Version v1
Journal article

Nonlinear effects on dissipative MHD modes

  • 1. New York Univ., NY

Description

It is demonstrated that by including the viscous force in the resistive MHD equations, a simple nonlinear theory can be constructed to account for the nonlinear effects on the linearly unstable tearing modes near the stability threshold. The method for carrying out the perturbational nonlinear analysis is described in detail. The essentials of this method are exhibited by working out the theory for simple sheet pinch geometry, calculating the effects of mode coupling of the second and zeroth harmonics on the evolution of the modes. 9 references

Additional details

Publishing Information

Journal Title
Commun. Pure Appl. Math.
Journal Volume
36
Series
Commun. Pure Appl. Math.
Journal Page Range
615-634
ISSN
0010-3640

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
16065789
Subject category
S70: PLASMA PHYSICS AND FUSION TECHNOLOGY;
Descriptors DEI
ENERGY LOSSES; HARMONICS; MAGNETOHYDRODYNAMICS; NONLINEAR PROBLEMS; TEARING INSTABILITY; VISCOUS FLOW
Descriptors DEC
FLUID FLOW; FLUID MECHANICS; HYDRODYNAMICS; INSTABILITY; MECHANICS; OSCILLATIONS; PLASMA INSTABILITY; PLASMA MACROINSTABILITIES