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arXiv · 2311.06885

Time periodic solutions for the 2D Euler equation near Taylor-Couette flow

Ángel Castro·Daniel Lear
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Abstract

In this paper we consider the incompressible 2D Euler equation in an annular domain with non-penetration boundary condition. In this setting, we prove the existence of a family of non-trivially smooth time-periodic solutions at an arbitrarily small distance from the stationary Taylor-Couette flow in $H^s$, with $s<3/2$, at the vorticity level.

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Ángel Castro, Daniel Lear. 2023-11-12. Time periodic solutions for the 2D Euler equation near Taylor-Couette flow. https://arxiv.org/abs/2311.06885

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