| Autor: |
Foias, Ciprian, Jolly, Michael S., Manley, Oscar P. |
| Zdroj: |
ESAIM: Mathematical Modelling and Numerical Analysis; March 2000, Vol. 34 Issue: 2 p353-376, 24p |
| Abstrakt: |
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. |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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