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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	265-271
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	167
Issue number	3
DOIs	https://doi.org/10.1016/0375-9601(92)90203-X
Publication status	Published - 20 Jul 1992

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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.",

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AU - Legras, Bernard

AU - Zeitlin, Vladimir

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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.

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

Abstract

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