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Asymptotic methods for magnetohydrodynamic instability
Misha Vishik, Susan Friedlander
Source abstract
A sufficient condition for instability is obtained for the linearized equations of ideal magnetohydrodynamics. The results are proved by studying the full asymptotic expansion for the evolution operator using oscillatory integrals. It is shown that the growth rate of the evolution operator is bounded from below by the growth rate of an operator given by a system of local hyperbolic PDEs.
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