Far-field perturbations of vortex patches

Peter Constantin

doi:10.1098/rsta.2014.0277

Far-field perturbations of vortex patches

Philos Trans A Math Phys Eng Sci. 2015 Sep 13;373(2050):20140277. doi: 10.1098/rsta.2014.0277.

Author

Peter Constantin¹

Affiliation

¹ Department of Mathematics, Princeton University, Princeton, NJ 08544, USA const@math.princeton.edu.

Abstract

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.

Keywords: Euler equations; instability; long-time behaviour; vortex patches.

Publication types

Research Support, U.S. Gov't, Non-P.H.S.