Generic Hydrodynamic Instability of Curl Eigenfields
نویسندگان
چکیده
We prove that for generic geometry, the curl-eigenfield solutions to the steady Euler equations on R 3 /Z 3 are all hydrodynamically unstable (linear, L norm). The proof involves amarriage of contact topological methods with the instability criterion of Friedlander-Vishik. An application of contact homology is the crucial step.
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ورودعنوان ژورنال:
- SIAM J. Applied Dynamical Systems
دوره 4 شماره
صفحات -
تاریخ انتشار 2005