International Journal of Differential Equations
Volume 2012 (2012), Article ID 929626, 10 pages
http://dx.doi.org/10.1155/2012/929626
Research Article

Some Nonlinear Vortex Solutions

Michael C. Haslam,1 Christopher J. Smith,2 Ghada Alobaidi,3 and Roland Mallier2

1Department of Mathematics and Statistics, York University, Toronto, ON, Canada M3J 1P3
2Department of Applied Mathematics, University of Western Ontario, London, ON, Canada N6A 5B7
3Department of Mathematics and Statistics, American University of Sharjah, Sharjah, UAE

Received 3 June 2011; Revised 10 November 2011; Accepted 24 November 2011

Academic Editor: Bashir Ahmad

Copyright © 2012 Michael C. Haslam et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider the steady-state two-dimensional motion of an inviscid incompressible fluid which obeys a nonlinear Poisson equation. By seeking solutions of a specific form, we arrive at some interesting new nonlinear vortex solutions.