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Steady vortex flows obtained from a constrained variational problem

B. Emamizadeh and M. H. Mehrabi

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 30, 1-18

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:538543

DOI: 10.1155/S0161171202008098

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