Journal article
On continuation of inviscid vortex patches
Abstract
This investigation concerns solutions of the steady-state Euler equations in two dimensions featuring finite area regions with constant vorticity embedded in a potential flow. Using elementary methods of the functional analysis we derive precise conditions under which such solutions can be uniquely continued with respect to their parameters, valid also in the presence of the Kutta condition concerning a fixed separation point. Our approach is …
Authors
Gallizio F; Iollo A; Protas B; Zannetti L
Journal
Physica D Nonlinear Phenomena, Vol. 239, No. 3-4, pp. 190–201
Publisher
Elsevier
Publication Date
February 2010
DOI
10.1016/j.physd.2009.10.015
ISSN
0167-2789