Marsden, Jerrold E. (1976) Well-posedness of the equations of a non-homogeneous perfect fluid. Communications in Partial Differential Equation, 1 (3). pp. 215-230. ISSN 0360-5302. https://resolver.caltech.edu/CaltechAUTHORS:20100824-134820097
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Abstract
The Euler equations for a non-homogeneous, non-viscous compressible fluid are shown to be well-posed for a short time interval, using techniques of infinite dimensional geometry and a weighted Hodge theorem. Regularity and other properties of these solutions are pointed out as well.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1976 by Marcel Dekker. Inc. All Rights Reserved. Received: April 1976. Neither this work nor any part may be reproduced or transmitted in any form or by any means. electronic or mechanical. including photocopying. microrilming. and recording. or by any information storage and retrieval system. without permission in writing from the publisher. The author thanks Professor C.B. Morrey for helpful discussions concerning the differentiability of the members of the generalized Hodge decomposition, and D.G. Ebin ror numerous helpful remarks. | |||||||||
| Issue or Number: | 3 | |||||||||
| Record Number: | CaltechAUTHORS:20100824-134820097 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100824-134820097 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 19644 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 14 Sep 2010 16:52 | |||||||||
| Last Modified: | 03 Oct 2019 01:59 |
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