International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2002 / Article

Open Access

Volume 30 |Article ID 538543 | https://doi.org/10.1155/S0161171202008098

B. Emamizadeh, M. H. Mehrabi, "Steady vortex flows obtained from a constrained variational problem", International Journal of Mathematics and Mathematical Sciences, vol. 30, Article ID 538543, 18 pages, 2002. https://doi.org/10.1155/S0161171202008098

Steady vortex flows obtained from a constrained variational problem

Received10 Jan 2001
Revised24 Aug 2001

Abstract

We prove the existence of steady two-dimensional ideal vortex flows occupying the first quadrant and containing a bounded vortex; this is done by solving a constrained variational problem. Kinetic energy is maximized subject to the vorticity, being a rearrangement of a prescribed function and subject to a linear constraint.

Copyright © 2002 Hindawi Publishing Corporation. 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.


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