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Magnetohydrodynamic stability of fusion plasmas
Author(s) -
Garabedian P. R.
Publication year - 1998
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/(sici)1097-0312(199809/10)51:9/10<1019::aid-cpa4>3.0.co;2-g
Subject(s) - magnetohydrodynamic drive , plasma , stability (learning theory) , fusion , mathematics , magnetohydrodynamics , physics , computer science , nuclear physics , philosophy , machine learning , linguistics
Designing a fusion reactor poses a problem in magnetohydrodynamics analogous to the study of vortex rings. Nonexistence theorems for toroidal equilibria in three dimensions related to the KAM theory suggest that it is weak solutions that should be sought. Computational models have been developed from a variational principle that couple the spectral method to an exceptionally accurate finite difference scheme. Numerical analysis of equilibrium and stability has been made in the case of a stellarator with remarkable symmetry properties that was discovered by optimizing physical parameters. © 1998 John Wiley & Sons, Inc.