Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 18, Tome 152 (1986), pp. 67-71
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A. Cotsiolis; A. P. Oskolkov. On the limit behaviour and the attractor for the equations of motion of Oldroyd fluids. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 18, Tome 152 (1986), pp. 67-71. http://geodesic.mathdoc.fr/item/ZNSL_1986_152_a6/
@article{ZNSL_1986_152_a6,
author = {A. Cotsiolis and A. P. Oskolkov},
title = {On the limit behaviour and the attractor for the equations of motion of {Oldroyd} fluids},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {67--71},
year = {1986},
volume = {152},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_152_a6/}
}
TY - JOUR
AU - A. Cotsiolis
AU - A. P. Oskolkov
TI - On the limit behaviour and the attractor for the equations of motion of Oldroyd fluids
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1986
SP - 67
EP - 71
VL - 152
UR - http://geodesic.mathdoc.fr/item/ZNSL_1986_152_a6/
LA - ru
ID - ZNSL_1986_152_a6
ER -
%0 Journal Article
%A A. Cotsiolis
%A A. P. Oskolkov
%T On the limit behaviour and the attractor for the equations of motion of Oldroyd fluids
%J Zapiski Nauchnykh Seminarov POMI
%D 1986
%P 67-71
%V 152
%U http://geodesic.mathdoc.fr/item/ZNSL_1986_152_a6/
%G ru
%F ZNSL_1986_152_a6
The attractor $\mathfrak M$, for the two-dimensional initial-value problem for the equations of motion of Oldroyd fluids is constructed. It is proved that the Hausdorf dimension of $\mathfrak M$ is finite, and the corresponding dynamical problem on $\mathfrak M$ is finit dimensional.