Published July 1970
| public
Journal Article
Groups of diffeomorphisms and the motion of an incompressible fluid
- Creators
- Ebin, David G.
- Marsden, Jerrold
Abstract
In this paper we are concerned with the manifold structure of certain groups of diffeomorphisms, and with the use of this structure to obtain sharp existence and uniqueness theorems for the classical equations for an incompressible fluid (both viscous and non-viscous) on a compact C^∞ riemannian, oriented n-manifold M, possibly with boundary.
Additional Information
© 1970. Received July 30, 1969. The main results of this paper are announced in Bull. Amer. Math. Soc. 75 (1969) 962. During the preparation of this paper, many people were consulted and they offered much valuable information. We especially thank P. Chernoff, J. Dowling, T. Kato, I. Kupta, C. Morrey, R. Palais, C. Robinson, and A. Taub.Additional details
- Eprint ID
- 19818
- Resolver ID
- CaltechAUTHORS:20100908-073316973
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2010-09-15Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field