Abstract
We prove the existence of -fold rotating patches for the Euler equations in the disc, for the simply connected and doubly connected cases. Compared to the planar case, the rigid boundary introduces rich dynamics for the lowest symmetries and . We also discuss some numerical experiments highlighting the interaction between the boundary of the patch and the rigid one.
Citation
Francisco de la Hoz Méndez. Zineb Hassainia. Taoufik Hmidi. Joan Mateu. "An analytical and numerical study of steady patches in the disc." Anal. PDE 9 (7) 1609 - 1670, 2016. https://doi.org/10.2140/apde.2016.9.1609
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