Group actions on chains of Banach manifolds and applications to fluid dynamics
Differential Geometry
2007-05-23 v2 Analysis of PDEs
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.
Cite
@article{arxiv.math/0603332,
title = {Group actions on chains of Banach manifolds and applications to fluid dynamics},
author = {François Gay-Balmaz and Tudor S. Ratiu},
journal= {arXiv preprint arXiv:math/0603332},
year = {2007}
}
Comments
44 pages