On nonlinear interface dynamics in Hele-Shaw flows

European Journal of Applied Mathematics

Volumn 6, Issue 5, 1995, Pages 399-420

  Entov, V M ^a   Etingof, P I ^b   Kleinbock, D Ya ^c  

^a INSTITUTE FOR PROBLEMS IN MECHANICS   (Russian Federation)

^b HARVARD UNIVERSITY   (United States)

^c YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84974288908     PISSN: 09567925     EISSN: 14694425     Source Type: Journal    
DOI: 10.1017/S0956792500001959     Document Type: Article

References (13)

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3. Entov V. M. & Etingof P. I. 1992 On some exact solutions of the pressing problem. Izv. Akad. Nauk. Mekh. Zhidk. i gaza (2), 24–33 (in Russian).
4. Entov V. M., Etingof P. I. & Kleinbock D. Ya. 1993 Hele-Shaw flows with free boundaries produced by multipoles. Euro. J. Appl. Math. 4, 97–120.
5. Erdelyi A., ed. 1955 Bateman Manuscript Project. 3. McGraw Hill.
6. Etingof P. I. 1990 Integrability of the problem of filtration with a moving free boundary. Dokl.Akad.Nauk SSSR 313, 42–47. (Soviet Physics, Dokl.), 35(7), 625–628.)
7. King J. R., Lacey A. A. & Vazquez J.-L. 1995 Persistence of corners in free boundaries in Hele-Shaw flows. Euro. J. Appl. Math. 6.
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10. Richardson S. 1972 Hele-Shaw flows with a free boundary produced by injection of fluid into a narrow channel. J. Fluid Mech. 56, 609–618.
11. Richardson S. 1981 Some Hele-Shaw flows with time-dependent free boundaries. J. Fluid Mech. 102, 263–278.
12. Saffman P. G. & Taylor G. I. 1958 The penetration of fluid into a porous medium or Hele-Shaw cell. Proc. Roy. Soc. A 245, 312–329.
13. Schwartz L. W. 1989 Instability and fingering in a rotating Hele-Shaw cell or porous medium. Phys. Fluids A 1, 167–169.