-
2
-
-
33749006179
-
Exact self-similar shapes in viscous fingering
-
BEN AMAR, M. (1991) Exact self-similar shapes in viscous fingering. Phys. Rev. A, 43(10), 5724-5727.
-
(1991)
Phys. Rev. A
, vol.43
, Issue.10
, pp. 5724-5727
-
-
Ben Amar, M.1
-
3
-
-
5844281477
-
Viscous fingering in a wedge
-
BEN AMAR, M. (1991) Viscous fingering in a wedge. Phys. Rev. A, 44(6), 3673-3685.
-
(1991)
Phys. Rev. A
, vol.44
, Issue.6
, pp. 3673-3685
-
-
Ben Amar, M.1
-
4
-
-
11744348000
-
Finger behaviour of a shear thinning fluid in a Hele-Shaw cell
-
POIRE, E. C. & BEN AMAR, M. (1998) Finger behaviour of a shear thinning fluid in a Hele-Shaw cell. Phys. Rev. Lett. 81(10), 2048-2051.
-
(1998)
Phys. Rev. Lett.
, vol.81
, Issue.10
, pp. 2048-2051
-
-
Poire, E.C.1
Ben Amar, M.2
-
5
-
-
0001005698
-
Pushing a non-newtonian fluid in a Hele-Shaw cell: From fingers to needles
-
BEN AMAR, M. & POIRE, E. C. (1999) Pushing a non-Newtonian fluid in a Hele-Shaw cell: From fingers to needles. Phys Fluids, 11(7), 1757-1767.
-
(1999)
Phys Fluids
, vol.11
, Issue.7
, pp. 1757-1767
-
-
Ben Amar, M.1
Poire, E.C.2
-
6
-
-
84956246282
-
Selection of the viscous finger in the 90° geometry
-
BRENER, E. A., KESSLER, D. A., LEVINE, H. & RAPPEL, W.-J. (1990) Selection of the viscous finger in the 90° geometry. Europhys. Lett. 13(2), 161-166.
-
(1990)
Europhys. Lett.
, vol.13
, Issue.2
, pp. 161-166
-
-
Brener, E.A.1
Kessler, D.A.2
Levine, H.3
Rappel, W.-J.4
-
8
-
-
0001165338
-
Numerical study of Hele-Shaw flow with suction
-
CENICEROS, H. D., HOU, T. Y. & SI, H. (1999) Numerical study of Hele-Shaw flow with suction. Phys. Fluids, 11(9), 2471-2486.
-
(1999)
Phys. Fluids
, vol.11
, Issue.9
, pp. 2471-2486
-
-
Ceniceros, H.D.1
Hou, T.Y.2
Si, H.3
-
9
-
-
0033263944
-
On the role of Stokes lines in the selection of Saffman-Taylor fingers with small surface tension
-
CHAPMAN, S. J. (1999) On the role of Stokes lines in the selection of Saffman-Taylor fingers with small surface tension. Euro. J. Appl. Math. 10, 513-534.
-
(1999)
Euro. J. Appl. Math.
, vol.10
, pp. 513-534
-
-
Chapman, S.J.1
-
10
-
-
0038668932
-
The selection of Saffman-Taylor fingers by kinetic undercooling
-
CHAPMAN, S. J. & KING, J. R. (2003) The selection of Saffman-Taylor fingers by kinetic undercooling. J. Eng. Math. 46(1), 1-32.
-
(2003)
J. Eng. Math.
, vol.46
, Issue.1
, pp. 1-32
-
-
Chapman, S.J.1
King, J.R.2
-
11
-
-
0000772856
-
Shape selection for Saffman-Taylor fingers
-
COMBESCOT, R., HAKIM, V., DOMBRE, T., POMEAU, Y. & PUMIR, A. (1986) Shape selection for Saffman-Taylor fingers. Phys. Rev. Lett. 56, 2036-2039.
-
(1986)
Phys. Rev. Lett.
, vol.56
, pp. 2036-2039
-
-
Combescot, R.1
Hakim, V.2
Dombre, T.3
Pomeau, Y.4
Pumir, A.5
-
12
-
-
29444445444
-
Analytic theory of the Saffman-Taylor fingers
-
COMBESCOT, R., HAKIM, V., DOMBRE, T., POMEAU, Y. & PUMIR, A. (1988) Analytic theory of the Saffman-Taylor fingers. Phys. Rev. A, 37(4), 1270-1283.
-
(1988)
Phys. Rev. A
, vol.37
, Issue.4
, pp. 1270-1283
-
-
Combescot, R.1
Hakim, V.2
Dombre, T.3
Pomeau, Y.4
Pumir, A.5
-
13
-
-
0000634182
-
Selection of Saffman-Taylor fingers in the sector geometry
-
COMBESCOT, R. & BEN AMAR, M. (1991) Selection of Saffman-Taylor fingers in the sector geometry. Phys. Rev. Lett. 67(4), 453-456.
-
(1991)
Phys. Rev. Lett.
, vol.67
, Issue.4
, pp. 453-456
-
-
Combescot, R.1
Ben Amar, M.2
-
14
-
-
0000636997
-
Saffman-Taylor fingers in the sector geometry
-
COMBESCOT, R. (1992) Saffman-Taylor fingers in the sector geometry. Phys. Rev. A, 45(2), 873-884.
-
(1992)
Phys. Rev. A
, vol.45
, Issue.2
, pp. 873-884
-
-
Combescot, R.1
-
16
-
-
0028166588
-
Two related free boundary problems
-
CRASTER, R. V. (1994) Two related free boundary problems. IMA Jl. Appl. Math. 52, 253-270.
-
(1994)
IMA Jl. Appl. Math.
, vol.52
, pp. 253-270
-
-
Craster, R.V.1
-
17
-
-
0000973660
-
The solution of a class of free boundary problems
-
CRASTER, R. V. (1997) The solution of a class of free boundary problems. Proc. R. Soc. Lond. A, 453, 607-630.
-
(1997)
Proc. R. Soc. Lond. A
, vol.453
, pp. 607-630
-
-
Craster, R.V.1
-
18
-
-
0000108670
-
Applications of Fuchsian differential equations to free boundary problems
-
CRASTER, R. V. & HOANG, V. H. (1998) Applications of Fuchsian differential equations to free boundary problems. Proc. R. Soc. Lond. A, 454, 1241-1252.
-
(1998)
Proc. R. Soc. Lond. A
, vol.454
, pp. 1241-1252
-
-
Craster, R.V.1
Hoang, V.H.2
-
19
-
-
0033276268
-
Flow around a wedge of arbitrary angle in a Hele-Shaw cell
-
CUMMINGS, L. J. (2000) Flow around a wedge of arbitrary angle in a Hele-Shaw cell. Euro. J. Appl. Math. 10, 547-560.
-
(2000)
Euro. J. Appl. Math.
, vol.10
, pp. 547-560
-
-
Cummings, L.J.1
-
20
-
-
84971155357
-
A variational inequality approach to Hele-Shaw flow with a moving boundary
-
ELLIOTT, C. M. & JANOVSKY, V. (1981) A variational inequality approach to Hele-Shaw flow with a moving boundary. Proc. Roy. Soc. Edin. A88, 93-107.
-
(1981)
Proc. Roy. Soc. Edin.
, vol.A88
, pp. 93-107
-
-
Elliott, C.M.1
Janovsky, V.2
-
21
-
-
0000280217
-
Unsteady filtration with a free surface
-
(in Russian)
-
GALIN, L. A. (1945) Unsteady filtration with a free surface Dokl. Akad. Nauk. S.S.S.R. 47, 246-249 (in Russian).
-
(1945)
Dokl. Akad. Nauk. S.S.S.R.
, vol.47
, pp. 246-249
-
-
Galin, L.A.1
-
23
-
-
0032043370
-
Pseudo-steady-state solutions for solidification in a wedge
-
HOANG, HA V., HILL, J. M. & DEWYNNE, J. N. (1998) Pseudo-steady-state solutions for solidification in a wedge. IMA J. Appl. Math. 60, 109-121.
-
(1998)
IMA J. Appl. Math.
, vol.60
, pp. 109-121
-
-
Hoang, Ha.V.1
Hill, J.M.2
Dewynne, J.N.3
-
24
-
-
0036895549
-
Wedge solidification with differing types of boundary conditions
-
HOANG, V. H. & CRASTER, R. V. (1998) Wedge solidification with differing types of boundary conditions. IMA J. Appl. Math. 67, 509-524.
-
(1998)
IMA J. Appl. Math.
, vol.67
, pp. 509-524
-
-
Hoang, V.H.1
Craster, R.V.2
-
25
-
-
0000772855
-
Analytic theory for the selection of Saffman-Taylor fingers
-
HONG, D. C. & LANGER, J. S. (1986) Analytic theory for the selection of Saffman-Taylor fingers. Phys. Rev. Lett. 56, 2032-2035.
-
(1986)
Phys. Rev. Lett.
, vol.56
, pp. 2032-2035
-
-
Hong, D.C.1
Langer, J.S.2
-
26
-
-
0024902049
-
Explicit solutions to six free-boundary problems in fluid flow and diffusion
-
HOWISON, S. D. & KING, J. R. (1989) Explicit solutions to six free-boundary problems in fluid flow and diffusion. IMA J. Appl. Math. 42, 155-175.
-
(1989)
IMA J. Appl. Math.
, vol.42
, pp. 155-175
-
-
Howison, S.D.1
King, J.R.2
-
27
-
-
84971920974
-
Complex variable methods in hele-shaw moving boundary problems
-
HOWISON, S. D. (1992) Complex variable methods in Hele-Shaw moving boundary problems. Euro. J. Appl. Math. 3, 209-224.
-
(1992)
Euro. J. Appl. Math.
, vol.3
, pp. 209-224
-
-
Howison, S.D.1
-
28
-
-
0031320751
-
Numerical simulations of sink flow in the hele-shaw cell with small surface tension
-
KELLY, E. D. & HINCH, E. J. (1997) Numerical simulations of sink flow in the Hele-Shaw cell with small surface tension. Euro. J. Appl. Math. 8, 533-550.
-
(1997)
Euro. J. Appl. Math.
, vol.8
, pp. 533-550
-
-
Kelly, E.D.1
Hinch, E.J.2
-
29
-
-
84974510185
-
Persistence of corners in free boundaries in Hele-Shaw flow
-
KING, J. R., LACEY, A. A. & VAZQUEZ, J. L. (1995) Persistence of corners in free boundaries in Hele-Shaw flow. Euro. J. Appl. Math. 6, 455-490.
-
(1995)
Euro. J. Appl. Math.
, vol.6
, pp. 455-490
-
-
King, J.R.1
Lacey, A.A.2
Vazquez, J.L.3
-
30
-
-
84974489302
-
Development of singularities in some moving boundary problems
-
KING, J. R. (1995) Development of singularities in some moving boundary problems. Euro. J. Appl. Math. 6, 491-507.
-
(1995)
Euro. J. Appl. Math.
, vol.6
, pp. 491-507
-
-
King, J.R.1
-
31
-
-
0013091915
-
Moving boundary problems in the flow of liquid through porous media
-
LACEY, A. A. (1982) Moving boundary problems in the flow of liquid through porous media. J. Austral. Math. Soc. B24, 171-193.
-
(1982)
J. Austral. Math. Soc.
, vol.B24
, pp. 171-193
-
-
Lacey, A.A.1
-
32
-
-
0019374495
-
The effect of surface tension on the shape of fingers in a Hele-Shaw cell
-
MCLEAN, J. W. & SAFFMAN, P. G. (1981) The effect of surface tension on the shape of fingers in a Hele-Shaw cell. J. Fluid Mech. 102, 445-469.
-
(1981)
J. Fluid Mech.
, vol.102
, pp. 445-469
-
-
McLean, J.W.1
Saffman, P.G.2
-
33
-
-
0032000710
-
Singularities in Hele-Shaw flows
-
NIE, Q. & TIAN, F. R. (1998) Singularities in Hele-Shaw flows. S.I.A.M. J. Appl. Math. 58(1), 34-54.
-
(1998)
S.I.A.M. J. Appl. Math.
, vol.58
, Issue.1
, pp. 34-54
-
-
Nie, Q.1
Tian, F.R.2
-
34
-
-
0036252822
-
Singularities in Hele-Shaw flows driven by a multipole
-
NIE, Q. & TIAN, F. R. (2001) Singularities in Hele-Shaw flows driven by a multipole. S.I.A.M. J. Appl. Math. 62(2), 385-406.
-
(2001)
S.I.A.M. J. Appl. Math.
, vol.62
, Issue.2
, pp. 385-406
-
-
Nie, Q.1
Tian, F.R.2
-
35
-
-
0036642646
-
Hele-Shaw flows with nonlinear kinetic undercooling regularisation
-
PLESHCHINSKII, N. B. & REISSIG, M. (2002) Hele-Shaw flows with nonlinear kinetic undercooling regularisation. Nonlinear Anal. 50, 191-203.
-
(2002)
Nonlinear Anal.
, vol.50
, pp. 191-203
-
-
Pleshchinskii, N.B.1
Reissig, M.2
-
38
-
-
0347031071
-
Analytical and numerical treatment of a complex model for Hele-Shaw moving boundary problems with kinetic undercooling regularization
-
REISSIG, M., ROGOSIN, S. V. & HÜBNER, F. (1999) Analytical and numerical treatment of a complex model for Hele-Shaw moving boundary problems with kinetic undercooling regularization. Euro. J. Appl. Math. 10, 561-579.
-
(1999)
Euro. J. Appl. Math.
, vol.10
, pp. 561-579
-
-
Reissig, M.1
Rogosin, S.V.2
Hübner, F.3
-
39
-
-
0015491441
-
Hele-Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
-
RICHARDSON, S. (1972) Hele-Shaw flows with a free boundary produced by the injection of fluid into a narrow channel. J. Fluid Mech. 56, 609-618.
-
(1972)
J. Fluid Mech.
, vol.56
, pp. 609-618
-
-
Richardson, S.1
-
40
-
-
0035567567
-
Hele-Shaw flows with free boundaries in a corner or around a wedge Part I: Liquid at the vertex
-
RICHARDSON, S. (2001) Hele-Shaw flows with free boundaries in a corner or around a wedge Part I: Liquid at the vertex. Euro. J. Appl. Math. 12(6), 665-676.
-
(2001)
Euro. J. Appl. Math.
, vol.12
, Issue.6
, pp. 665-676
-
-
Richardson, S.1
-
41
-
-
0035562105
-
Hele-Shaw flows with free boundaries in a corner or around a wedge Part II: Air at the vertex
-
RICHARDSON, S. (2001) Hele-Shaw flows with free boundaries in a corner or around a wedge Part II: Air at the vertex. Euro. J. Appl. Math. 12(6), 677-688.
-
(2001)
Euro. J. Appl. Math.
, vol.12
, Issue.6
, pp. 677-688
-
-
Richardson, S.1
-
42
-
-
0001383598
-
The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
-
SAFFMAN, P. G. & TAYLOR, G. I. (1958) The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid. Proc. Roy, Soc. Lond. A, 245, 312-329.
-
(1958)
Proc. Roy, Soc. Lond. A
, vol.245
, pp. 312-329
-
-
Saffman, P.G.1
Taylor, G.I.2
-
43
-
-
35949017843
-
Velocity selection and the Saffman-Taylor problem
-
SHRAIMAN, B. I. (1986) Velocity selection and the Saffman-Taylor problem. Phys. Rev. Lett. 56, 2028-2031.
-
(1986)
Phys. Rev. Lett.
, vol.56
, pp. 2028-2031
-
-
Shraiman, B.I.1
-
44
-
-
4244168693
-
Singular perturbation of smoothly evolving Hele-Shaw solutions
-
SIEGEL, M. & TANVEER, S. (1996) Singular perturbation of smoothly evolving Hele-Shaw solutions. Phys. Rev. Lett. 76(3).
-
(1996)
Phys. Rev. Lett.
, vol.76
, Issue.3
-
-
Siegel, M.1
Tanveer, S.2
-
45
-
-
0030239360
-
Singular effects of surface tension in Hele-Shaw cells
-
SIEGEL, M., TANVEER, S. & DAI, W.-S. (1996) Singular effects of surface tension in Hele-Shaw cells. J. Fluid Mech. 323, 201-236.
-
(1996)
J. Fluid Mech.
, vol.323
, pp. 201-236
-
-
Siegel, M.1
Tanveer, S.2
Dai, W.-S.3
-
46
-
-
0033927876
-
Surprises in viscous fingering
-
TANVEER, S. (2000) Surprises in viscous fingering. J. Fluid Mech. 409, 273-308.
-
(2000)
J. Fluid Mech.
, vol.409
, pp. 273-308
-
-
Tanveer, S.1
-
47
-
-
0000820856
-
The Saffman-Taylor instability: From the linear to the circular geometry
-
THOMÉ, H., RABAUD, M., HAKIM, V. & COUDER, Y. (1989) The Saffman-Taylor instability: From the linear to the circular geometry. Phys. Fluids A, 1, 224-240.
-
(1989)
Phys. Fluids A
, vol.1
, pp. 224-240
-
-
Thomé, H.1
Rabaud, M.2
Hakim, V.3
Couder, Y.4
-
48
-
-
0001623951
-
Saffman-Taylor problem in sector geometry: Solution and selection
-
Tu, Y. (1991) Saffman-Taylor problem in sector geometry: Solution and selection. Phys. Rev. A, 44(2), 1203-1210.
-
(1991)
Phys. Rev. A
, vol.44
, Issue.2
, pp. 1203-1210
-
-
Tu, Y.1
|