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

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. [ABSTRACT FROM AUTHOR]