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ON THE ENSEMBLE AVERAGE IN THE STUDY OF APPROXIMATE INERTIAL MANIFOLDS .2.
- Authors
- CHAE, DH
- Issue Date
- Mar-1992
- Publisher
- ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.164, no.2, pp 337 - 349
- Pages
- 13
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 164
- Number
- 2
- Start Page
- 337
- End Page
- 349
- ISSN
- 0022-247X
1096-0813
- Abstract
- In this note we obtained a new time averaged estimate of the distance between the orbit generated by solutions of 2-D Navier-Stokes equations and one of its approximate inertial manifolds in the space periodic case, using the Gevrey class regularity of the solutions in the space periodic case. This estimate is a substantial improvement of the author's previous one in the very high wave modes, or, physically, far in the dissipation range of turbulence. © 1992.
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