%0 Journal Article
%T On 3-D vortex patches in bounded domains
%A Alexandre Dutrifoy
%J Mathematics
%D 2003
%I arXiv
%X This article concerns the equations of motion of perfect incompressible fluids in a 3-D, smooth, bounded, simply connected domain. We suppose that the curl of the initial velocity field is a vortex patch, and examine the classical problems of the existence of a solution, either locally or globally in time, and of the persistence of the initial regularity.
%U http://arxiv.org/abs/math/0302066v1