Radial fingering in a Hele-Shaw cell: a weakly nonlinear analysis

[1]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[2]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[3]  E. M. Lifshitz,et al.  Quantum mechanics: Non-relativistic theory, , 1959 .

[4]  S. Wilson.  A note on the measurement of dynamic contact angles , 1975 .

[5]  Lincoln Paterson,et al.  Radial fingering in a Hele Shaw cell , 1981, Journal of Fluid Mechanics.

[6]  J. W. McLean,et al.  The effect of surface tension on the shape of fingers in a Hele Shaw cell , 1981, Journal of Fluid Mechanics.

[7]  S. Childress,et al.  Macroscopic Properties of Disordered Media , 1982 .

[8]  G. Homsy,et al.  Two-phase displacement in Hele Shaw cells: theory , 1984, Journal of Fluid Mechanics.

[9]  B. Dubrovin,et al.  Modern geometry--methods and applications , 1984 .

[10]  R. E. Rosensweig,et al.  Directions in ferrohydrodynamics (invited) , 1985 .

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

[12]  J. D. Chen,et al.  Radial viscous fingering patterns in Hele-Shaw cells , 1987 .

[13]  S. Tanveer.  Analytic theory for the selection of a symmetric Saffman-Taylor finger in a Hele-Shaw cell , 1987 .

[14]  George M. Homsy,et al.  Viscous fingering in porous media , 1987 .

[15]  Douglas A. Reinelt,et al.  Interface conditions for two-phase displacement in Hele-Shaw cells , 1987, Journal of Fluid Mechanics.

[16]  Dombre,et al.  Selection in the Saffman-Taylor bubble and asymmetrical finger problem. , 1988, Physical review. A, General physics.

[17]  Jing-den Chen.  Growth of radial viscous fingers in a Hele-Shaw cell , 1989, Journal of Fluid Mechanics.

[18]  R. Sekerka,et al.  A numerical study of two-dimensional crystal growth forms in the presence of anisotropic growth kinetics , 1989 .

[19]  G. McFadden,et al.  A numerical and analytical study of nonlinear bifurcations associated with the morphological stability of two-dimensional single crystals , 1989 .

[20]  E. Ben-Jacob,et al.  The formation of patterns in non-equilibrium growth , 1990, Nature.

[21]  Temkin,et al.  Crystal growth in a channel: Numerical study of the one-sided model. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[22]  T. Hou,et al.  Removing the stiffness from interfacial flows with surface tension , 1994 .

[23]  Ihle,et al.  Fractal and compact growth morphologies in phase transitions with diffusion transport. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[24]  Jackson,et al.  Hydrodynamics of fingering instabilities in dipolar fluids. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[25]  Chan,et al.  Non-Newtonian effects on immiscible viscous fingering in a radial Hele-Shaw cell. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[26]  A. Woods,et al.  The formation of drops through viscous instability , 1995, Journal of Fluid Mechanics.

[27]  Coexistence of symmetric and parity-broken dendrites in a channel , 1995 .

[28]  E. Brener,et al.  Laplacian and diffusional growth: a unified theoretical description for symmetrical and parity-broken patterns , 1996 .

[29]  Michael Siegel,et al.  Singular effects of surface tension in evolving Hele-Shaw flows , 1996, Journal of Fluid Mechanics.

[30]  I. H. Öğüş,et al.  NATO ASI Series , 1997 .

[31]  Weakly Nonlinear Investigation of the Saffman–Taylor Problem in a Rectangular Hele–Shaw Cell , 1997, cond-mat/9711270.