Linear and nonlinear stability in resistive magnetohydrodynamics (Q1334137)
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scientific article; zbMATH DE number 640614
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear and nonlinear stability in resistive magnetohydrodynamics |
scientific article; zbMATH DE number 640614 |
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Linear and nonlinear stability in resistive magnetohydrodynamics (English)
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28 February 1995
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A sufficient stability condition with respect to purely growing modes is derived for resistive magnetohydrodynamics. Its ``nearness'' to necessity is analysed. It is found that for physically reasonable approximations the condition is in some sense necessary and sufficient for stability against all modes. This, together with hermiticity, makes its analytical and numerical evaluation worthwhile for the optimization of magnetic configurations.
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test functions
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stability functional
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basin of attraction
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Hopf bifurcation
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necessary stability condition
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sufficient stability condition
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optimization of magnetic configurations
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