Exact solutions to nonlinear equations of suspension flow through a porous medium
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2015), pp. 49-54
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The general solution to a nonlinear system of differential equations describing one-dimensional flows of a low-concentrated suspension through a porous medium with consideration of particle deposition is constructed. A number of closed-form solutions are specified in terms of elementary functions. The formation of non-physical singularities is studied.
@article{VMUMM_2015_3_a8,
author = {N. E. Leont'ev and D. A. Tatarenkova},
title = {Exact solutions to nonlinear equations of suspension flow through a porous medium},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {49--54},
publisher = {mathdoc},
number = {3},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_3_a8/}
}
TY - JOUR AU - N. E. Leont'ev AU - D. A. Tatarenkova TI - Exact solutions to nonlinear equations of suspension flow through a porous medium JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2015 SP - 49 EP - 54 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2015_3_a8/ LA - ru ID - VMUMM_2015_3_a8 ER -
%0 Journal Article %A N. E. Leont'ev %A D. A. Tatarenkova %T Exact solutions to nonlinear equations of suspension flow through a porous medium %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2015 %P 49-54 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2015_3_a8/ %G ru %F VMUMM_2015_3_a8
N. E. Leont'ev; D. A. Tatarenkova. Exact solutions to nonlinear equations of suspension flow through a porous medium. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2015), pp. 49-54. http://geodesic.mathdoc.fr/item/VMUMM_2015_3_a8/