| Issue |
ESAIM: M2AN
Volume 34, Number 2, March/April 2000
Special issue for R. Teman's 60th birthday
|
|
|---|---|---|
| Page(s) | 353 - 376 | |
| DOI | https://doi.org/10.1051/m2an:2000145 | |
| Published online | 15 April 2002 | |
Limiting Behavior for an Iterated Viscosity
1
Department of Mathematics, Indiana University,
Bloomington, IN, 47405, USA. (msjolly@indiana.edu)
2
Gaithersburg, MD, 20878, USA.
Received:
22
December
1999
The behavior of an ordinary differential equation for the low wave number velocity mode is analyzed. This equation was derived in [5] by an iterative process on the two-dimensional Navier-Stokes equations (NSE). It resembles the NSE in form, except that the kinematic viscosity is replaced by an iterated viscosity which is a partial sum, dependent on the low-mode velocity. The convergence of this sum as the number of iterations is taken to be arbitrarily large is explored. This leads to a limiting dynamical system which displays several unusual mathematical features.
Mathematics Subject Classification: 35Q30 / 37L65
Key words: Navier-Stokes.
© EDP Sciences, SMAI, 2000
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