International Journal of Differential Equations

Some Nonlinear Vortex Solutions

Michael C. Haslam, Christopher J. Smith, Ghada Alobaidi, and Roland Mallier

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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.

Article information

Int. J. Differ. Equ., Volume 2012 (2012), Article ID 929626, 10 pages.

Received: 3 June 2011
Revised: 10 November 2011
Accepted: 24 November 2011
First available in Project Euclid: 24 January 2017

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Haslam, Michael C.; Smith, Christopher J.; Alobaidi, Ghada; Mallier, Roland. Some Nonlinear Vortex Solutions. Int. J. Differ. Equ. 2012 (2012), Article ID 929626, 10 pages. doi:10.1155/2012/929626.

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