Three-dimensional evolution of the boundary of a polluted area in a bounded piecewise homogeneous porous material
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 5, pp. 913-919
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A mathematical model describing the three-dimensional evolution of a liquid–liquid interface in a piecewise homogeneous porous medium containing impermeable rock and a basin with a free liquid is constructed using the Leibenzon–Muskat model. As an example, the dispersion of pollutants from a point source is numerically simulated.
@article{ZVMMF_2011_51_5_a12,
author = {D. N. Nikol'skii},
title = {Three-dimensional evolution of the boundary of a~polluted area in a~bounded piecewise homogeneous porous material},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {913--919},
publisher = {mathdoc},
volume = {51},
number = {5},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a12/}
}
TY - JOUR AU - D. N. Nikol'skii TI - Three-dimensional evolution of the boundary of a polluted area in a bounded piecewise homogeneous porous material JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 913 EP - 919 VL - 51 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a12/ LA - ru ID - ZVMMF_2011_51_5_a12 ER -
%0 Journal Article %A D. N. Nikol'skii %T Three-dimensional evolution of the boundary of a polluted area in a bounded piecewise homogeneous porous material %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2011 %P 913-919 %V 51 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a12/ %G ru %F ZVMMF_2011_51_5_a12
D. N. Nikol'skii. Three-dimensional evolution of the boundary of a polluted area in a bounded piecewise homogeneous porous material. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 5, pp. 913-919. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a12/