Far-field perturbations of vortex patches.
In this paper I investigate the dynamics of vortex patches in the Yudovitch phase space. I derive an approximation for the evolution of the vorticity in the case of nested vortex patches with distant boundaries, and study its long-time behaviour.
Department of Mathematics, Princeton University, Princeton, NJ 08544, USA const@math.princeton.edu.
Peter
P
Constantin
Euler equations; instability; long-time behaviour; vortex patches