Geodesic
Displacement of a viscous fluid from a circular Hele-Shaw cell with a sink
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2016), pp. 39-43 
O. A. Logvinov; E. I. Skryleva. Displacement of a viscous fluid from a circular Hele-Shaw cell with a sink. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2016), pp. 39-43. http://geodesic.mathdoc.fr/item/VMUMM_2016_4_a5/
@article{VMUMM_2016_4_a5,
     author = {O. A. Logvinov and E. I. Skryleva},
     title = {Displacement of a viscous fluid from a circular {Hele-Shaw} cell with a sink},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {39--43},
     year = {2016},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_4_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is found that the viscous fingering in an annular Hele-Shaw cell with a sink is unstable in spite of the radial geometry of displacement. A linear analysis shows the absolute instability of the radial front of displacement. The appearance of isolated fingers are clearly observed in numerical simulations.

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