Affine Lie-Poisson reduction, Yang-Mills magnetohydrodynamics, and superfluids

François Gay-Balmaz; Tudor S. Ratiu

doi:10.1088/1751-8113/41/34/344007

Affine Lie-Poisson reduction, Yang-Mills magnetohydrodynamics, and superfluids

François Gay-Balmaz
, Tudor S. Ratiu

ENAC-IIC-GEL

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

Résumé

This paper develops the theory of affine Lie-Poisson reduction and applies this process to Yang-Mills and Hall magnetohydrodynamics for fluids and superfluids. As a consequence of this approach, the associated Poisson brackets are obtained by reduction of a canonical cotangent bundle. A Kelvin-Noether circulation theorem is presented and is applied to these examples.

langue originale	Anglais
Numéro d'article	344007
journal	Journal of Physics A: Mathematical and Theoretical
Volume	41
Numéro de publication	34
Les DOIs	https://doi.org/10.1088/1751-8113/41/34/344007
état	Publié - 29 août 2008
Modification externe	Oui

Accès au document

10.1088/1751-8113/41/34/344007

Contient cette citation

@article{624fb23fa64445149e64070dbb76566e,

title = "Affine Lie-Poisson reduction, Yang-Mills magnetohydrodynamics, and superfluids",

abstract = "This paper develops the theory of affine Lie-Poisson reduction and applies this process to Yang-Mills and Hall magnetohydrodynamics for fluids and superfluids. As a consequence of this approach, the associated Poisson brackets are obtained by reduction of a canonical cotangent bundle. A Kelvin-Noether circulation theorem is presented and is applied to these examples.",

author = "Fran{\c c}ois Gay-Balmaz and Ratiu, \{Tudor S.\}",

year = "2008",

month = aug,

day = "29",

doi = "10.1088/1751-8113/41/34/344007",

language = "English",

volume = "41",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

number = "34",

}

TY - JOUR

T1 - Affine Lie-Poisson reduction, Yang-Mills magnetohydrodynamics, and superfluids

AU - Gay-Balmaz, François

AU - Ratiu, Tudor S.

PY - 2008/8/29

Y1 - 2008/8/29

N2 - This paper develops the theory of affine Lie-Poisson reduction and applies this process to Yang-Mills and Hall magnetohydrodynamics for fluids and superfluids. As a consequence of this approach, the associated Poisson brackets are obtained by reduction of a canonical cotangent bundle. A Kelvin-Noether circulation theorem is presented and is applied to these examples.

AB - This paper develops the theory of affine Lie-Poisson reduction and applies this process to Yang-Mills and Hall magnetohydrodynamics for fluids and superfluids. As a consequence of this approach, the associated Poisson brackets are obtained by reduction of a canonical cotangent bundle. A Kelvin-Noether circulation theorem is presented and is applied to these examples.

U2 - 10.1088/1751-8113/41/34/344007

DO - 10.1088/1751-8113/41/34/344007

M3 - Article

AN - SCOPUS:52349097038

SN - 1751-8113

VL - 41

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 34

M1 - 344007

ER -

Affine Lie-Poisson reduction, Yang-Mills magnetohydrodynamics, and superfluids

Résumé

Accès au document

Empreinte digitale

Contient cette citation