Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 2, pp. 131-147
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M. A. Berezhny. Small oscillations of viscous incompressible fluid with small solid interacting particles which have a large density. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 2, pp. 131-147. http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a0/
@article{JMAG_2005_12_2_a0,
author = {M. A. Berezhny},
title = {Small oscillations of viscous incompressible fluid with small solid interacting particles which have a large density},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {131--147},
year = {2005},
volume = {12},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a0/}
}
TY - JOUR
AU - M. A. Berezhny
TI - Small oscillations of viscous incompressible fluid with small solid interacting particles which have a large density
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2005
SP - 131
EP - 147
VL - 12
IS - 2
UR - http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a0/
LA - ru
ID - JMAG_2005_12_2_a0
ER -
%0 Journal Article
%A M. A. Berezhny
%T Small oscillations of viscous incompressible fluid with small solid interacting particles which have a large density
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2005
%P 131-147
%V 12
%N 2
%U http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a0/
%G ru
%F JMAG_2005_12_2_a0
The motion of viscous incompressible fluid with large number of small solid ball-shaped interacting particles, which have a large density, is considered. The asymptotic behaviour of small oscillations of such a system is studied, when radii of the particles, distances between the nearest particles and interaction power between them are accordingly decreased but the density of particles' substance is accordingly increased. The equations, which describe the homogenized model of such a system, are derived.
