Abstract
We prove that stable fluid equilibria with trivial homology on curved, reflection-symmetric periodic channels must posses “islands”, or cat’s eye vortices. In this way, arbitrarily small disturbances of a flat boundary cause a change of streamline topology of stable steady states.
| Original language | English |
|---|---|
| Pages (from-to) | 4855-4863 |
| Number of pages | 9 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 152 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 2024 |
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