Nonlinear behavior of linearly unstable magnetohydrodynamic modes
Journal Article
·
· Phys. Fluids; (United States)
It can be shown that for linearly unstable magnetohydrodynamic modes near the threshold of linear instability, the mode amplitude A(t) evolves according to partial/sup 2/A/..lambda..t/sup 2/ =lambda/sup 2/A+..cap alpha..A/sup 3/ which can lead to nonlinear stabilization, explosive instability, or eventual decay, depending on the sign of ..cap alpha... This is demonstrated explicitly for the m=1 kink modes in a sharp boundary plasma pinch.
- Research Organization:
- Courant Institute of Mathematical Sciences, New York University, New York, New York 10012
- OSTI ID:
- 7179402
- Journal Information:
- Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 21:5; ISSN PFLDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
AMPLITUDES
BOUNDARY CONDITIONS
INSTABILITY
INSTABILITY GROWTH RATES
KINK INSTABILITY
NONLINEAR PROBLEMS
PARAMETRIC INSTABILITIES
PERTURBATION THEORY
PINCH EFFECT
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
700107* -- Fusion Energy-- Plasma Research-- Instabilities
AMPLITUDES
BOUNDARY CONDITIONS
INSTABILITY
INSTABILITY GROWTH RATES
KINK INSTABILITY
NONLINEAR PROBLEMS
PARAMETRIC INSTABILITIES
PERTURBATION THEORY
PINCH EFFECT
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES