On parametric instability of viscous two-layer fluid in a vessel with a permeable bottom
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 11, pp. 1958-1968
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A linear problem of parametric oscillations of a low-viscous two-layer fluid in a closed vessel partially filled with a porous medium is studied. An asymptotic solution is constructed on the basis of combined application of boundary functions and averaging methods. Approximate formulas for boundaries of instability domains in the case of subharmonic and harmonic resonances are derived.
@article{ZVMMF_2007_47_11_a11,
author = {A. V. Kravtsov},
title = {On parametric instability of viscous two-layer fluid in a~vessel with a~permeable bottom},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1958--1968},
publisher = {mathdoc},
volume = {47},
number = {11},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_11_a11/}
}
TY - JOUR AU - A. V. Kravtsov TI - On parametric instability of viscous two-layer fluid in a vessel with a permeable bottom JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2007 SP - 1958 EP - 1968 VL - 47 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_11_a11/ LA - ru ID - ZVMMF_2007_47_11_a11 ER -
%0 Journal Article %A A. V. Kravtsov %T On parametric instability of viscous two-layer fluid in a vessel with a permeable bottom %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2007 %P 1958-1968 %V 47 %N 11 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_11_a11/ %G ru %F ZVMMF_2007_47_11_a11
A. V. Kravtsov. On parametric instability of viscous two-layer fluid in a vessel with a permeable bottom. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 11, pp. 1958-1968. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_11_a11/