Geodesic
Homogenized equations in a Hele-Shaw cell: a model with stratification
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2017), pp. 37-42 
O. A. Logvinov. Homogenized equations in a Hele-Shaw cell: a model with stratification. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2017), pp. 37-42. http://geodesic.mathdoc.fr/item/VMUMM_2017_1_a5/
@article{VMUMM_2017_1_a5,
     author = {O. A. Logvinov},
     title = {Homogenized equations in a {Hele-Shaw} cell: a model with stratification},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {37--42},
     year = {2017},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_1_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

An averaged model of viscous fluid displacement from a Hele-Shaw cell with consideration of the transverse stratification of flow between the cell's plates is proposed.

[1] Zvyagin A.V., Ivashnev O.E., Logvinov O.A., “O vliyanii malykh parametrov na strukturu fronta neustoichivogo vytesneniya vyazkoi zhidkosti iz yacheiki Khele-Shou”, Izv. RAN. Mekhan. zhidkosti i gaza, 2007, no. 4, 27–37

[2] Nagel M., Gallaire F., “A new prediction of wavelength in radial viscous fingering involving normal and tangential stresses”, Phys. Fluids, 25 (2013), 124107 | DOI

[3] Zeng J., Yortsos Y. S., Salin D., “On the Brinkman correction in unidirectional Hele-Shaw flows”, Phys. Fluids, 15:12 (2003), 3829–3836 | DOI | MR

[4] Logvinov O.A., “Ob ustoichivosti bokovoi poverkhnosti vyazkikh paltsev, obrazuyuschikhsya pri vytesnenii zhidkosti iz yacheiki Khele-Shou”, Vestn. Mosk. un-ta. Matem. Mekhan., 2011, no. 2, 40–46 | MR | Zbl

[5] Saffman P.G., Taylor G., “The penetration of a fluid into a porous medium or a Hele-Shaw cell containing a more viscous liquid”, Proc. Roy. Soc. London, A245 (1958), 312–329 | DOI | MR | Zbl