Group actions on chains of Banach manifolds and applications to fluid dynamics

François Gay-Balmaz; Tudor S. Ratiu

doi:10.1007/s10455-007-9061-0

Group actions on chains of Banach manifolds and applications to fluid dynamics

François Gay-Balmaz
, Tudor S. Ratiu

ENAC-IIC-GEL

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

Abstract

This paper presents the theory of non-smooth Lie group actions on chains of Banach manifolds. The rigorous functional analytic spaces are given to deal with quotients of such actions. A hydrodynamical example is studied in detail.

Original language	English
Pages (from-to)	287-328
Number of pages	42
Journal	Annals of Global Analysis and Geometry
Volume	31
Issue number	3
DOIs	https://doi.org/10.1007/s10455-007-9061-0
Publication status	Published - 1 May 2007
Externally published	Yes

Keywords

Banach manifold
Euler equation
Lie group action
Reduction
Slices

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10.1007/s10455-007-9061-0

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title = "Group actions on chains of Banach manifolds and applications to fluid dynamics",

abstract = "This paper presents the theory of non-smooth Lie group actions on chains of Banach manifolds. The rigorous functional analytic spaces are given to deal with quotients of such actions. A hydrodynamical example is studied in detail.",

keywords = "Banach manifold, Euler equation, Lie group action, Reduction, Slices",

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

year = "2007",

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KW - Banach manifold

KW - Euler equation

KW - Lie group action

KW - Reduction

KW - Slices

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JO - Annals of Global Analysis and Geometry

JF - Annals of Global Analysis and Geometry

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ER -

Group actions on chains of Banach manifolds and applications to fluid dynamics

Abstract

Keywords

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