Spectral estimates, stability conditions, and the rotating screw-pinch

Eliezer Hameiri

doi:10.1063/1.525137

Spectral estimates, stability conditions, and the rotating screw-pinch

Eliezer Hameiri

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

This article presents two sufficient conditions for the linear stability of rotating ideal plasmas, the first based on conservation of circulation and the second based on circle theorems applicable to linear Hamiltonian systems. The circle theorems also provide bounds on eigenmodes in the complex plane. All results are applied to the rotating screw-pinch which can be described by a single second-order ordinary differential equation.

Original language	English (US)
Pages (from-to)	2080-2088
Number of pages	9
Journal	Journal of Mathematical Physics
Volume	22
Issue number	9
DOIs	https://doi.org/10.1063/1.525137
State	Published - 1981

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.525137

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title = "Spectral estimates, stability conditions, and the rotating screw-pinch",

abstract = "This article presents two sufficient conditions for the linear stability of rotating ideal plasmas, the first based on conservation of circulation and the second based on circle theorems applicable to linear Hamiltonian systems. The circle theorems also provide bounds on eigenmodes in the complex plane. All results are applied to the rotating screw-pinch which can be described by a single second-order ordinary differential equation.",

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AB - This article presents two sufficient conditions for the linear stability of rotating ideal plasmas, the first based on conservation of circulation and the second based on circle theorems applicable to linear Hamiltonian systems. The circle theorems also provide bounds on eigenmodes in the complex plane. All results are applied to the rotating screw-pinch which can be described by a single second-order ordinary differential equation.

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Spectral estimates, stability conditions, and the rotating screw-pinch

Abstract

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