ASYMPTOTIC METHODS FOR MAGNETOHYDRODYNAMIC INSTABILITY

Authors
VISHIK M FRIEDLANDER S
Citation
M. Vishik et S. Friedlander, ASYMPTOTIC METHODS FOR MAGNETOHYDRODYNAMIC INSTABILITY, Quarterly of applied mathematics, 56(2), 1998, pp. 377-398
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
Journal title
Quarterly of applied mathematics → ACNP
ISSN journal
0033569X
Volume
56
Issue
2
Year of publication
1998
Pages
377 - 398
Database
ISI
SICI code
0033-569X(1998)56:2<377:AMFMI>2.0.ZU;2-2
Abstract
A sufficient condition for instability is obtained for the linearized equations of ideal magnetohydrodynamics. The results are proved by stu dying the full asymptotic expansion for the evolution operator using o scillatory integrals. It is shown that the growth rate of the evolutio n operator is bounded from below by the growth rate of an operator giv en by a system of local hyperbolic PDEs.