A variational problem for steady vortices in a shear flow past an obstacle

Behrouz Emamizadeh

doi:10.1023/A:1024569231425

A variational problem for steady vortices in a shear flow past an obstacle

Research output: Journal Publication › Article › peer-review

Abstract

We prove existence of maximizers for a variational problem for a steady vortex anomaly of bounded extent in a shear flow, past an obstacle, in a planar exterior domain. Kinetic energy is maximized subject to the vorticity being a rearrangement of a prescribed function.

Original language	English
Pages (from-to)	399-411
Number of pages	13
Journal	Journal of Computational Analysis and Applications
Volume	5
Issue number	4
DOIs	https://doi.org/10.1023/A:1024569231425
Publication status	Published - Oct 2003
Externally published	Yes

Keywords

Green's functions
Rearrangements of functions
Semilinear elliptic partial differential equations
Variational problems
Vortex anomaly

ASJC Scopus subject areas

Computational Mathematics

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10.1023/A:1024569231425

Cite this

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title = "A variational problem for steady vortices in a shear flow past an obstacle",

abstract = "We prove existence of maximizers for a variational problem for a steady vortex anomaly of bounded extent in a shear flow, past an obstacle, in a planar exterior domain. Kinetic energy is maximized subject to the vorticity being a rearrangement of a prescribed function.",

keywords = "Green's functions, Rearrangements of functions, Semilinear elliptic partial differential equations, Variational problems, Vortex anomaly",

author = "Behrouz Emamizadeh",

note = "Funding Information: The author would like to thank Dr. G. R. Burton of the University of Bath for many fruitful discussions and IUST for providing the financial support",

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AB - We prove existence of maximizers for a variational problem for a steady vortex anomaly of bounded extent in a shear flow, past an obstacle, in a planar exterior domain. Kinetic energy is maximized subject to the vorticity being a rearrangement of a prescribed function.

KW - Green's functions

KW - Rearrangements of functions

KW - Semilinear elliptic partial differential equations

KW - Variational problems

KW - Vortex anomaly

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A variational problem for steady vortices in a shear flow past an obstacle

Abstract

Keywords

ASJC Scopus subject areas

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