On a generalized two-fluid Hele-Shaw flow

European Journal of Applied Mathematics

Volumn 18, Issue 1, 2007, Pages 103-128

  Entov, V M ^a   Etingof, P ^b  

^a INSTITUTE FOR PROBLEMS IN MECHANICS   (Russian Federation)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947633525     PISSN: 09567925     EISSN: 14694425     Source Type: Journal    
DOI: 10.1017/S0956792507006869     Document Type: Article

References (13)

1. CROWDY, D. (2002) On a class of geometry-driven free boundary problems. SIAM J. Appl. Math. 62(3), 945-964.
2. DUKHIN, S. S. & DERYAGIN, B. V. (1974) Surface and Colloid Sci. In: E. Matijevich, editor, Electrokinetic Phenomena. Wiley.
3. ENTOV, V. M., ETINGOF, P. I. & KLEINBOCK, D. YA. (1993) Hele-Shaw flows with free boundaries produced by multipoles. Euro. J. Appl. Math. 4(2), 97-120.
4. ENTOV, V. M., ETINGOF, P. I. & KLEINBOCK, D. YA. (1995) On nonlinear interface dynamics in Hele-Shaw flows. Euro. J. Appl. Math. 6(5), 399-420.
5. GAKHOV, F. D. (1990) Boundary Value Problems. Dover.
6. MARINO, S., COELHO, D., BÉKRI, S. & ADLER, P. M. (2000) Electroosmotic phenomena in fractures. J. Colloid & Interface Sci. 223(2), 292-304.
7. MUSKHELISHVILI, N. I. (1992) Singular Integral Equations. Dover.
8. OCKENDON, J. R. & HOWISON, S. D. (2002) Kochina and Hele-Shaw in modern mathematics, natural science and industry. J. Appl. Math. Mech. 66(3), 505-512.
9. OVERBEEK, J. TH. G. (1952) Electrochemistry of the double layer. In: H. R. Kruyt, editor, Colloid Science, pp. 115-193. Elsevier.
10. RICHARDSON, S. (1972) Hele-Shaw flows with a free boundary produced by the injection of fluid into a narrow channel. J. Fluid Mech. 56(4), 609-618.
11. RICHARDSON, S. (2001) Hele-Shaw flows with time-dependent free boundaries involving a multiply connected fluid region. Euro. J. Appl. Math. 12, 571-599.
12. VARCHENKO, A. N. & ETINGOF, P. I. (1992) Why the Boundary of a Round Drop Becomes a Curve of Order Four. AMS.
13. WONG, P. K., WANG, T.-H., DEVAL, J. H. & HO, C.-M. (2004) Electrokinetics in micro devices for biotechnology applications. IEEE / ASME Trans. Mechanotronics, 9(2), 366-376.