Steady vortex in a uniform shear flow of an ideal fluid

B. Emamizadeh

doi:10.1017/s0308210500000433

Steady vortex in a uniform shear flow of an ideal fluid

B. Emamizadeh

Research output: Journal Publication › Article › peer-review

14 Citations (Scopus)

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.

Original language	English
Pages (from-to)	801-812
Number of pages	12
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	130
Issue number	4
DOIs	https://doi.org/10.1017/s0308210500000433
Publication status	Published - 2000
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1017/s0308210500000433

Cite this

@article{3c015227ee184ae58a964ba8003607c2,

title = "Steady vortex in a uniform shear flow of an ideal fluid",

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.",

author = "B. Emamizadeh",

year = "2000",

doi = "10.1017/s0308210500000433",

language = "English",

volume = "130",

pages = "801--812",

journal = "Proceedings of the Royal Society of Edinburgh Section A: Mathematics",

issn = "0308-2105",

publisher = "Cambridge University Press",

number = "4",

}

TY - JOUR

T1 - Steady vortex in a uniform shear flow of an ideal fluid

AU - Emamizadeh, B.

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/23044520751

U2 - 10.1017/s0308210500000433

DO - 10.1017/s0308210500000433

M3 - Article

AN - SCOPUS:23044520751

SN - 0308-2105

VL - 130

SP - 801

EP - 812

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

IS - 4

ER -

Steady vortex in a uniform shear flow of an ideal fluid

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this