Hazeltine, R. D. and Holm, D. D. and Marsden, J. E. and Morrison, P. J. (1984) Generalized poisson brackets and nonlinear Liapunov stability application to reduces mhd. In: 1984 International Conference on Plasma Physics : Joint Conference of Sixth Kiev International Conference on Plasma Theory and Sixth International Congress on Waves and Instabilities : June 27-July 3, Lausanne, Switzerland. Vol.2. Centre de recherches en physique des plasmas, Ecole polytechnique fédérale , Lausanne, Switzerland, pp. 204-206. https://resolver.caltech.edu/CaltechAUTHORS:20101026-154917202
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Abstract
A method is presented for obtaining Liapunov functionals (LF) and proving nonlinear stability. The method uses the generalized Poisson bracket (GPB) formulation of Hamiltonian dynamics. As an illustration, certain stationary solutions of ideal reduced MHD (RMHD) are shown to be nonlinearly stable. This includes Grad-Shafranov and Alfven solutions.
| Item Type: | Book Section | |||||||||
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| Additional Information: | © 1984, STI. Presented at the Intern. Conf. on Plasma Phys., Lausanne, Switzerland, 27 Jun. - 3 Jul. 1984. | |||||||||
| Record Number: | CaltechAUTHORS:20101026-154917202 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20101026-154917202 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 20550 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 02 Dec 2010 00:32 | |||||||||
| Last Modified: | 03 Oct 2019 02:11 |
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