Time periodic solutions for the 2D Euler equation near Taylor-Couette flow
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 Hs, with s<3/2, at the vorticity level.
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