A Sufficient Condition in Resistive MHD
TLDR
In this article, a sufficient stability condition with respect to purely growing modes is derived for resistive MHDs, which is a necessary and sufficient condition for purely growing MHD.About:
This article is published in Physics Letters A.The article was published on 1990-06-25 and is currently open access. It has received 7 citations till now. The article focuses on the topics: Dissipative system.read more
Citations
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Journal ArticleDOI
Two stability problems related to resistive magnetohydrodynamics
TL;DR: In this paper, a general stability condition for a class of real systems, occurring especially in plasma physics, is proved to persist to second order, despite the addition of several antisymmetric operators of first order in the linearized stability equation.
Book ChapterDOI
Energy Methods in Magnetohydrodynamics
TL;DR: A brief summary of energy methods for linear stability in dissipative magnetohydrodynamics is given in this article, where the methods are equally efficient for fixed and free boundary problems.
References
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Journal ArticleDOI
Energy principle for two-dimensional resistive instabilities
TL;DR: In this article, an energy principle for 2-d resistive instabilities has been found, which leads to a necessary and sufficient condition for stability allowing the use of test functions.
Journal ArticleDOI
Energy Principle for 3-d Resistive Instabilities in Shaped-cross-section Tokamaks
Henri Tasso,J. Virtamo +1 more
TL;DR: In this paper, an energy principle for "helical" incompressible perturbations in shaped cross-section plasmas is derived in the Tokamak scaling (epsilon identical to ka approximately=Bperpendicular to /Bz<<1).
Journal ArticleDOI
On purely growing modes in real systems
TL;DR: In this article, a general sufficient condition for stability against purely growing modes is derived, which is a quadratic symmetric form very suitable to numerical treatment and minimization, and has potential applications in plasma stability with non-ideal equations and real geometry.
Related Papers (5)
Energy Principle for 3-d Resistive Instabilities in Shaped-cross-section Tokamaks
Henri Tasso,J. Virtamo +1 more