Steady vortex flows obtained from a constrained variational problem

B. Emamizadeh; M. H. Mehrabi

doi:10.1155/S0161171202008098

Steady vortex flows obtained from a constrained variational problem

B. Emamizadeh, M. H. Mehrabi

Research output: Journal Publication › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	283-300
Number of pages	18
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	30
Issue number	5
DOIs	https://doi.org/10.1155/S0161171202008098
Publication status	Published - 2002
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)

Access to Document

10.1155/S0161171202008098

Cite this

@article{65101dbc836b43899480374e2b58b65c,

title = "Steady vortex flows obtained from a constrained variational problem",

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.",

author = "B. Emamizadeh and Mehrabi, {M. H.}",

year = "2002",

doi = "10.1155/S0161171202008098",

language = "English",

volume = "30",

pages = "283--300",

journal = "International Journal of Mathematics and Mathematical Sciences",

issn = "0161-1712",

publisher = "Hindawi Publishing Corporation",

number = "5",

}

TY - JOUR

T1 - Steady vortex flows obtained from a constrained variational problem

AU - Emamizadeh, B.

AU - Mehrabi, M. H.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0242524821&partnerID=8YFLogxK

U2 - 10.1155/S0161171202008098

DO - 10.1155/S0161171202008098

M3 - Article

AN - SCOPUS:0242524821

SN - 0161-1712

VL - 30

SP - 283

EP - 300

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 5

ER -

Steady vortex flows obtained from a constrained variational problem

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this