The instability of the states of rest of a viscous ideally conducting compressible medium containing a magnetic field (Q2761330)
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scientific article; zbMATH DE number 1683376
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The instability of the states of rest of a viscous ideally conducting compressible medium containing a magnetic field |
scientific article; zbMATH DE number 1683376 |
Statements
18 December 2001
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plasma
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Lyapunov direct method
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magnetic hydrodynamical equilibria
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small spatial perturbation
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efficient potential energy
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viscous compressible infinite conductive medium
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two co-axial cylinders
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exponential growth estimates
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The instability of the states of rest of a viscous ideally conducting compressible medium containing a magnetic field (English)
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The authors discuss a generalization of results by \textit{Yu. G. Gubarev} and \textit{S. S. Kovylina} [Prikl. Mekh. Tekh. Fiz. 40, No. 2, 148-155 (1999); translation in J. Appl. Mech. Tech. Phys. 40, No. 2, 317-324 (1999; Zbl 0936.76023)] to the case of new magnetic hydrodynamical equilibria of plasma. It is shown that the states of rest under consideration are unstable with respect to small spatial perturbation diminishing the efficient potential energy. As example, the authors consider the state of rest of viscous compressible infinitely conductive medium in the space between two co-axial cylinders.
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