Some Nonlinear Vortex Solutions

Some Nonlinear Vortex Solutions

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.

Bibliographic Details
Main Authors: Michael C. Haslam, Christopher J. Smith, Ghada Alobaidi, Roland Mallier
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2012/929626
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spelling doaj-88b8c964ad534ea8a3160740ad5915e62020-11-25T00:36:58ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512012-01-01201210.1155/2012/929626929626Some Nonlinear Vortex SolutionsMichael C. Haslam0Christopher J. Smith1Ghada Alobaidi2Roland Mallier3Department of Mathematics and Statistics, York University, Toronto, ON, M3J 1P3, CanadaDepartment of Applied Mathematics, University of Western Ontario, London, ON, N6A 5B7, CanadaDepartment of Mathematics and Statistics, American University of Sharjah, Sharjah, UAEDepartment of Applied Mathematics, University of Western Ontario, London, ON, N6A 5B7, CanadaWe 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.http://dx.doi.org/10.1155/2012/929626
collection DOAJ
language English
format Article
sources DOAJ
author Michael C. Haslam
Christopher J. Smith
Ghada Alobaidi
Roland Mallier
spellingShingle Michael C. Haslam
Christopher J. Smith
Ghada Alobaidi
Roland Mallier
Some Nonlinear Vortex Solutions
International Journal of Differential Equations
author_facet Michael C. Haslam
Christopher J. Smith
Ghada Alobaidi
Roland Mallier
author_sort Michael C. Haslam
title Some Nonlinear Vortex Solutions
title_short Some Nonlinear Vortex Solutions
title_full Some Nonlinear Vortex Solutions
title_fullStr Some Nonlinear Vortex Solutions
title_full_unstemmed Some Nonlinear Vortex Solutions
title_sort some nonlinear vortex solutions
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/929626
work_keys_str_mv AT michaelchaslam somenonlinearvortexsolutions
AT christopherjsmith somenonlinearvortexsolutions
AT ghadaalobaidi somenonlinearvortexsolutions
AT rolandmallier somenonlinearvortexsolutions
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