Instability criteria for the flow of an inviscid incompressible fluid
- 29 April 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 66 (17) , 2204-2206
- https://doi.org/10.1103/physrevlett.66.2204
Abstract
We present a geometric estimate from below on the growth rate of a small perturbation of a three-dimensional steady flow of an ideal fluid and thus we obtain effective criteria for local instability for Euler’s equations. We use these criteria to demonstrate the instability of several simple flows and to show that any flow with a hyperbolic stagnation point is unstable.Keywords
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