@Article{CMR-27-4,
author = {Wang, Heyuan and Yan, Cui},
title = {A Nine-Modes Truncation of the Plane Incompressible Navier-Stokes Equations},
journal = {Communications in Mathematical Research },
year = {2011},
volume = {27},
number = {4},
pages = {297--306},
abstract = {<p style="text-align: justify;">In this paper a nine-modes truncation of Navier-Stokes equations for a
two-dimensional incompressible fluid on a torus is obtained. The stationary solutions,
the existence of attractor and the global stability of the equations are firmly proved.
What is more, that the force $f$ acts on the mode $k_3$ and $k_7$ respectively produces two
systems, which lead to a much richer and varied phenomenon. Numerical simulation
is given at last, which shows a stochastic behavior approached through an involved
sequence of bifurcations.</p>},
issn = {2707-8523},
doi = {https://doi.org/2011-CMR-19073},
url = {https://global-sci.com/article/81880/a-nine-modes-truncation-of-the-plane-incompressible-navier-stokes-equations}
}