Generic hydrodynamic instability of curl eigenfields

Details Generic hydrodynamic instability of curl eigenfields Generic hydrodynamic instability of curl eigenfields

2003-06-20

arxiv.org/abs/math/0306310v1

Mathematics

Dynamical Systems

Scientific paper

We prove that for generic geometry, the curl-eigenfield solutions to the
steady Euler equations on the three torus are all hydrodynamically unstable
(linear, L^2 norm). The proof involves a marriage of contact topological
methods with the instability criterion of Friedlander-Vishik. An application of
contact homology is the crucial step.

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