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Published February 21, 1990 | public
Journal Article Open

Some ideas on the freely decaying Navier-Stokes turbulence

Liao, Wuwell

Abstract

The author formulates a new approach to the Navier-Stokes turbulence. By analogy with Wilson's theory of critical phenomena, he tries to identify the upper critical dimension of the freely decaying Navier-Stokes turbulence. He points out the possibility of many fixed points. He also points out possible future developments.

Additional Information

Copyright © Institute of Physics and IOP Publishing Limited 1990. Received 30 October 1989. Print publication: Issue 4 (21 February 1990) I would like to thank Vipul Periwal for very useful conversations, as well as Ken Aoki, Jan Segert and Fred Macintosh. I would also like to acknowledge the hospitality of the Santa Fe Institute Complex System Summer School 1989 and the NATO AS1 in Cargese (1989) where part of this work was completed. Support from the Caltech Division Research Fellowship and US National Science Foundation Grant No DMR-8715474 are gratefully acknowledged.

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