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Groups of diffeomorphisms and the motion of an incompressible fluid

Ebin, David G. and Marsden, Jerrold (1970) Groups of diffeomorphisms and the motion of an incompressible fluid. Annals of Mathematics, 92 (1). pp. 102-163. ISSN 0003-486X. http://resolver.caltech.edu/CaltechAUTHORS:20100908-073316973

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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.


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http://www.jstor.org/stable/info/1970699PublisherUNSPECIFIED
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.
Record Number:CaltechAUTHORS:20100908-073316973
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20100908-073316973
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ID Code:19818
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:15 Sep 2010 21:25
Last Modified:26 Dec 2012 12:24

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