Steiner symmetric vortices attached to seamounts

B. Emamizadeh; F. Bahrami; M. H. Mehrabi

doi:10.3934/cpaa.2004.3.663

Steiner symmetric vortices attached to seamounts

B. Emamizadeh
, F. Bahrami
, M. H. Mehrabi

Research output: Journal Publication › Article › peer-review

Abstract

We prove existence of Steiner symmetric maximizers for a constrained variational problem in ℝ². Solutions represent steady geophysical flows over a surface of variable height. The kinetic energy is maximized with respect to the set formed by intersecting a set of rearrangements of a given function with an affine subspace of codimension one.

Original language	English
Pages (from-to)	663-674
Number of pages	12
Journal	Communications on Pure and Applied Analysis
Volume	3
Issue number	4
DOIs	https://doi.org/10.3934/cpaa.2004.3.663
Publication status	Published - Sept 2004
Externally published	Yes

Free Keywords

Barotropic vorticity equation
Rearrangements
Semilinear elliptic equation
Steiner symmetrization
Variational problems
Vortices

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.3934/cpaa.2004.3.663

Cite this

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title = "Steiner symmetric vortices attached to seamounts",

abstract = "We prove existence of Steiner symmetric maximizers for a constrained variational problem in ℝ2. Solutions represent steady geophysical flows over a surface of variable height. The kinetic energy is maximized with respect to the set formed by intersecting a set of rearrangements of a given function with an affine subspace of codimension one.",

keywords = "Barotropic vorticity equation, Rearrangements, Semilinear elliptic equation, Steiner symmetrization, Variational problems, Vortices",

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year = "2004",

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publisher = "American Institute of Mathematical Sciences",

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AU - Emamizadeh, B.

AU - Bahrami, F.

AU - Mehrabi, M. H.

PY - 2004/9

Y1 - 2004/9

N2 - We prove existence of Steiner symmetric maximizers for a constrained variational problem in ℝ2. Solutions represent steady geophysical flows over a surface of variable height. The kinetic energy is maximized with respect to the set formed by intersecting a set of rearrangements of a given function with an affine subspace of codimension one.

AB - We prove existence of Steiner symmetric maximizers for a constrained variational problem in ℝ2. Solutions represent steady geophysical flows over a surface of variable height. The kinetic energy is maximized with respect to the set formed by intersecting a set of rearrangements of a given function with an affine subspace of codimension one.

KW - Barotropic vorticity equation

KW - Rearrangements

KW - Semilinear elliptic equation

KW - Steiner symmetrization

KW - Variational problems

KW - Vortices

UR - https://www.scopus.com/pages/publications/24944585979

U2 - 10.3934/cpaa.2004.3.663

DO - 10.3934/cpaa.2004.3.663

M3 - Article

AN - SCOPUS:24944585979

SN - 1534-0392

VL - 3

SP - 663

EP - 674

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 4

ER -

Steiner symmetric vortices attached to seamounts

Abstract

Free Keywords

ASJC Scopus subject areas

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