Liao, Wuwell (1989) Statistical properties of solutions to the Navier-Stokes equation in the limit of vanishing viscosity. Journal of Physics A: Mathematical and General, 22 (15). L737-L741. ISSN 0305-4470 http://resolver.caltech.edu/CaltechAUTHORS:LIAjpa89
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Abstract
Presents a new approach to the Navier-Stokes turbulence. With the Gaussian soft constraint on the Navier-Stokes equation, the author derives the energy spectrum to be E(k) approximately k^-3 and k^-2 in two and three spatial dimensions respectively. The possible future developments are also pointed out.
| Item Type: | Article |
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| Additional Information: | Copyright © Institute of Physics and IOP Publishing Limited 1989. Received 8 May 1989 I would like to thank Professor M Cross, Jan Segert, Vipul Periwal, Michael Grabinski, Jonathan Miller, Professor Y Avron, Peter Weichmann and Ken Aoki for interesting conversations. Support from the Division Research Fellowship and a US National Science Foundation Grant No DMR-8715474 are gratefully acknowledged. |
| Record Number: | CaltechAUTHORS:LIAjpa89 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:LIAjpa89 |
| Alternative URL: | http://dx.doi.org/10.1088/0305-4470/22/15/004 |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 6587 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Archive Administrator |
| Deposited On: | 13 Dec 2006 |
| Last Modified: | 26 Dec 2012 09:23 |
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