Plot for f (z) = 40z + z 7 (left), and f (z) = 50z + (i + 1)z 4 + z 23 (right).

Plot for f (z) = 40z + z 7 (left), and f (z) = 50z + (i + 1)z 4 + z 23 (right).

Source publication
Preprint
Full-text available
In this paper we consider the incompressible Euler equation in a simply-connected bounded planar domain. We study the confinement of the vorticity around a stationary point vortex. We show that the power law confinement around the center of the unit disk obtained in [2] remains true in the case of a stationary point vortex in a simply-connected bou...