Geodesic
Exact solutions to nonlinear equations of suspension flow through a porous medium
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2015), pp. 49-54 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {2015},
     number = {3},
     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
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
%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/

[1] Leontev N.E., “O strukture fronta poristosti pri dvizhenii suspenzii v poristoi srede”, Vestn. Mosk. un-ta. Matem. Mekhan., 2006, no. 5, 73–76

[2] Leontev N.E., “Zasorenie poristogo plasta pri dvizhenii frontov s konechnym skachkom poristosti”, Vestn. Mosk. un-ta. Matem. Mekhan., 2009, no. 5, 75–80

[3] Dąbrowski W., “Consequences of the mass balance simplification in modelling deep filtration”, Water Res., 22:10 (1988), 1219–1227 | DOI

[4] Dąbrowski W., “A method of calculating the concentration of deposit around an injection well”, Water Res., 18:6 (1984), 709–717 | DOI

[5] Kuznetsov A.Yu., Poslavskii S.A., “Issledovanie matematicheskoi modeli mekhanicheskoi suffozii”, Vestn. Khark. nats. un-ta. Matem., prikl. matem. i mekhan., 2009, no. 875, 57–68 | Zbl

[6] Kon S., Ledder G., Logan D., “Analiz modeli filtratsii v poristoi srede”, Matem. model., 13:2 (2001), 110–116 | MR

[7] Kurant R., Uravneniya s chastnymi proizvodnymi, Mir, M., 1964 | MR