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Steady vortex in a uniform shear flow of an ideal fluid

Published online by Cambridge University Press:  11 July 2007

B. Emamizadeh
B. Emamizadeh
Affiliation:
Department of Mathematical Sciences, University of Bath, Claverton Down, Bath BA2 7AY, UK ([email protected])
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Abstract

This paper is concerned with the existence of maximizers for a certain non-convex energy functional, relative to a class of rearrangements of a given function. Physically, the solution represents a uniform shear flow containing a bounded vortex anomaly, in R2. The prescribed data are the rearrangement class of the vorticity field.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 4 , August 2000 , pp. 801 - 812
Copyright
Copyright © Royal Society of Edinburgh 2001

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