Hele–Shaw flows with a free boundary produced by multipoles

[1]  S. Richardson,et al.  Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel , 1972, Journal of Fluid Mechanics.

[2]  V. M. Entov,et al.  BUBBLE CONTRACTION IN HELE-SHAW CELLS , 1991 .

[3]  S. Howison Bubble growth in porous media and Hele–Shaw cells , 1986, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[4]  G. Taylor,et al.  A NOTE ON THE MOTION OF BUBBLES IN A HELE-SHAW CELL AND POROUS MEDIUM , 1959 .

[5]  Sam Howison,et al.  Complex variable methods in Hele–Shaw moving boundary problems , 1992, European Journal of Applied Mathematics.

[6]  S. Richardson Some Hele Shaw flows with time-dependent free boundaries , 1981, Journal of Fluid Mechanics.

[7]  S. Richardson Hele Shaw Flows with Time‐Dependent Free Boundaries Involving Injection Through Slits , 1992 .

[8]  S. Howison Cusp Development in Hele–Shaw Flow with a Free Surface , 1986 .

[9]  R. F. Millar,et al.  The analytic continuation of solutions to elliptic boundary value problems in two independent variables , 1980 .

[10]  Kadanoff,et al.  Exact solutions for the Saffman-Taylor problem with surface tension. , 1990, Physical review letters.

[11]  Chao Tang,et al.  Viscous flows in two dimensions , 1986 .

[12]  Vasconcelos,et al.  Stationary solutions for the Saffman-Taylor problem with surface tension. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[13]  L. Ahlfors,et al.  Conformal invariants and function-theoretic null-sets , 1950 .

[14]  Sam Howison,et al.  Singularity development in moving-boundary problems , 1985 .

[15]  G. Taylor,et al.  The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid , 1958, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[16]  R. F. Millar Inverse problems for a class of schwarz functions , 1990 .