Finite dimensionality of 2-D micropolar fluid flow with periodic boundary conditions
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
This paper is devoted to describe the finite-dimensionality of a two-dimensional micropolar fluid flow with periodic boundary conditions. We define the notions of determining modes and nodes and estimate the number of them, we also estimate the dimension of the global attractor. Finally we compare our results with analogous results for Navier-Stokes equation.
Keywords
Cite
@article{arxiv.0704.0687,
title = {Finite dimensionality of 2-D micropolar fluid flow with periodic boundary conditions},
author = {Piotr Szopa},
journal= {arXiv preprint arXiv:0704.0687},
year = {2007}
}
Comments
25 pages, 0 figures