Conformal dynamics for vortex motions

Bernard Legras; Vladimir Zeitlin

doi:10.1016/0375-9601(92)90203-X

Conformal dynamics for vortex motions

Bernard Legras
, Vladimir Zeitlin

Université Côte d’Azur
Institute of Atmospheric Physics

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

A new method to describe the dynamics of constant vorticity domains on the plane is proposed. The parameters of conformal mappings of the standard domain onto those latter are the new variables and a dynamical equation for their evolution is given. A perturbation theory around a basic elliptic shape of the vortex is formulated within this framework. As an illustration, the classical linear stability results for Love modes are reproduced.

langue originale	Anglais
Pages (de - à)	265-271
Nombre de pages	7
journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	167
Numéro de publication	3
Les DOIs	https://doi.org/10.1016/0375-9601(92)90203-X
état	Publié - 20 juil. 1992

Accès au document

10.1016/0375-9601(92)90203-X

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

@article{9099d1ea71984b42b846792112c56b51,

title = "Conformal dynamics for vortex motions",

abstract = "A new method to describe the dynamics of constant vorticity domains on the plane is proposed. The parameters of conformal mappings of the standard domain onto those latter are the new variables and a dynamical equation for their evolution is given. A perturbation theory around a basic elliptic shape of the vortex is formulated within this framework. As an illustration, the classical linear stability results for Love modes are reproduced.",

author = "Bernard Legras and Vladimir Zeitlin",

year = "1992",

month = jul,

day = "20",

doi = "10.1016/0375-9601(92)90203-X",

language = "English",

volume = "167",

pages = "265--271",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

number = "3",

}

TY - JOUR

T1 - Conformal dynamics for vortex motions

AU - Legras, Bernard

AU - Zeitlin, Vladimir

PY - 1992/7/20

Y1 - 1992/7/20

N2 - A new method to describe the dynamics of constant vorticity domains on the plane is proposed. The parameters of conformal mappings of the standard domain onto those latter are the new variables and a dynamical equation for their evolution is given. A perturbation theory around a basic elliptic shape of the vortex is formulated within this framework. As an illustration, the classical linear stability results for Love modes are reproduced.

AB - A new method to describe the dynamics of constant vorticity domains on the plane is proposed. The parameters of conformal mappings of the standard domain onto those latter are the new variables and a dynamical equation for their evolution is given. A perturbation theory around a basic elliptic shape of the vortex is formulated within this framework. As an illustration, the classical linear stability results for Love modes are reproduced.

UR - https://www.scopus.com/pages/publications/38249009428

U2 - 10.1016/0375-9601(92)90203-X

DO - 10.1016/0375-9601(92)90203-X

M3 - Article

AN - SCOPUS:38249009428

SN - 0375-9601

VL - 167

SP - 265

EP - 271

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3

ER -

Conformal dynamics for vortex motions

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Contient cette citation