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Statistical properties of solutions to the Navier-Stokes equation in the limit of vanishing viscosity

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
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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