Finite-dimensionality of 2-D micropolar fluid flow with periodic boundary conditions

Piotr Szopa. "Finite-dimensionality of 2-D micropolar fluid flow with periodic boundary conditions." Applicationes Mathematicae 34.3 (2007): 309-339. <http://eudml.org/doc/279942>.

@article{PiotrSzopa2007,
abstract = {This paper is devoted to proving 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 their number. We check how the distribution of the forces and moments through modes influences the estimate of the number of determining modes. We also estimate the dimension of the global attractor. Finally, we compare our results with analogous results for the Navier-Stokes equation.},
author = {Piotr Szopa},
journal = {Applicationes Mathematicae},
keywords = {dimension of global attractor; determining modes; determining nodes},
language = {eng},
number = {3},
pages = {309-339},
title = {Finite-dimensionality of 2-D micropolar fluid flow with periodic boundary conditions},
url = {http://eudml.org/doc/279942},
volume = {34},
year = {2007},
}

TY - JOUR
AU - Piotr Szopa
TI - Finite-dimensionality of 2-D micropolar fluid flow with periodic boundary conditions
JO - Applicationes Mathematicae
PY - 2007
VL - 34
IS - 3
SP - 309
EP - 339
AB - This paper is devoted to proving 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 their number. We check how the distribution of the forces and moments through modes influences the estimate of the number of determining modes. We also estimate the dimension of the global attractor. Finally, we compare our results with analogous results for the Navier-Stokes equation.
LA - eng
KW - dimension of global attractor; determining modes; determining nodes
UR - http://eudml.org/doc/279942
ER -