- 1 November 1974
- journal article
- conference paper
- Published by AIP Publishing
Abstract
Variation methods, originally developed for deriving stability criteria from the energy principle, are well suited for obtaining bounds for the maximum growth rate from a modified energy principle. An upper bound is derived which corresponds to a sufficient stability criterion, and a lower bound is derived which corresponds to a necessary criterion. Each of these bounds equals the actual maximum growth rate in special cases.Keywords
This publication has 12 references indexed in Scilit:
- Improved sufficient conditions for magnetohydrodynamic stability with closed field linesPhysics of Fluids, 1974
- Properties of magnetically confined plasma equilibriaPhysics of Fluids, 1974
- Sufficient stability criteria for plasma equilibria with tensor pressurePhysics of Fluids, 1974
- New approach to magnetohydrodynamic stability: II. Sigma-stable diffuse pinch configurationsPhysics of Fluids, 1974
- New approach to magnetohydrodynamic stability: I. A practical stability conceptPhysics of Fluids, 1974
- Magnetohydrodynamic stability theory with closed magnetic field linesPhysics of Fluids, 1974
- Magnetofluid-Dynamic Spectrum and Low Shear StabilityProceedings of the National Academy of Sciences, 1973
- On the sufficiency of the energy principle for magnetohydrodynamic stabilityPhysics Letters A, 1971
- Necessity of the energy principles for magnetostatic stabilityNuclear Fusion, 1965
- Stability Criterion for Arbitrary Hydromagnetic EquilibriaPhysics of Fluids, 1962