A constrained variational problem for steady vortices in a shear flow

G. R. Burton; B. Emamizadeh

doi:10.1080/03605309908821467

A constrained variational problem for steady vortices in a shear flow

G. R. Burton, B. Emamizadeh

Research output: Journal Publication › Article › peer-review

11 Citations (Scopus)

Abstract

We prove existence of maximisers for a variational problem for a steady vortex anomaly of bounded extent in a uniform shear flow in ℝ². Kinetic energy is maximised subject to the vorticity being a rearrangement of a prescribed function, and subject to a linear pseudo-impulse constraint.

Original language	English
Pages (from-to)	1341-1365
Number of pages	25
Journal	Communications in Partial Differential Equations
Volume	24
Issue number	7-8
DOIs	https://doi.org/10.1080/03605309908821467
Publication status	Published - 1999
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/03605309908821467

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title = "A constrained variational problem for steady vortices in a shear flow",

abstract = "We prove existence of maximisers for a variational problem for a steady vortex anomaly of bounded extent in a uniform shear flow in ℝ2. Kinetic energy is maximised subject to the vorticity being a rearrangement of a prescribed function, and subject to a linear pseudo-impulse constraint.",

author = "Burton, \{G. R.\} and B. Emamizadeh",

note = "Funding Information: The second author acknowledges the financial support of the Ministry of Culture and Higher Education of Iran.",

year = "1999",

doi = "10.1080/03605309908821467",

language = "English",

volume = "24",

pages = "1341--1365",

journal = "Communications in Partial Differential Equations",

issn = "0360-5302",

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T1 - A constrained variational problem for steady vortices in a shear flow

AU - Burton, G. R.

AU - Emamizadeh, B.

N1 - Funding Information: The second author acknowledges the financial support of the Ministry of Culture and Higher Education of Iran.

PY - 1999

Y1 - 1999

N2 - We prove existence of maximisers for a variational problem for a steady vortex anomaly of bounded extent in a uniform shear flow in ℝ2. Kinetic energy is maximised subject to the vorticity being a rearrangement of a prescribed function, and subject to a linear pseudo-impulse constraint.

AB - We prove existence of maximisers for a variational problem for a steady vortex anomaly of bounded extent in a uniform shear flow in ℝ2. Kinetic energy is maximised subject to the vorticity being a rearrangement of a prescribed function, and subject to a linear pseudo-impulse constraint.

UR - https://www.scopus.com/pages/publications/0033451304

U2 - 10.1080/03605309908821467

DO - 10.1080/03605309908821467

M3 - Article

AN - SCOPUS:0033451304

SN - 0360-5302

VL - 24

SP - 1341

EP - 1365

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 7-8

ER -

A constrained variational problem for steady vortices in a shear flow

Abstract

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