Linear Instability Criteria for Ideal Fluid Flows Subject to Two Subclasses of Perturbations |
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Authors: | Elizabeth Thoren |
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Institution: | 1. Department of Mathematics, South Hall, Room 6607, University of California, Santa Barbara, CA, 93106, USA
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Abstract: | We examine the linear stability of both 2D and 3D steady state solutions to Euler’s equation subject to two classes of high frequency perturbations: those that preserve the topology of vortex lines and those that do not. Lower bounds for the essential spectral radius of the linear evolution operator are given for both types of perturbations. |
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