%Bibtex file containing papers on Hele-Shaw flow.
%Created by Keith A. Gillow 1/6/1998
%from data supplied by S.D. Howison

@article{Abergel:1996,
author = "Abergel, F.",
title = " Well-posedness for a {C}auchy problem associated to time-dependent free boundaries with nonlocal leading terms",
journal = "Communications in PDE",
year = "1996",
volume = "21",
number = "9--10",
pages ="1307--1319"
}

@article{Aharonov/Shapiro:1976,
author = "Aharonov, D. and Shapiro, H.S.",
title = "Domains on which analytic functions satisfy quadrature identities",
journal = "Journal d'Analyse Mathematique",
year = "1976",
volume = "30",
pages ="39--73"
}

@article{Aitchison/Howison:1985,
author = "Aitchison, J.M. and Howison, S.D.",
title = "Computation of {H}ele--{S}haw flows with free boundaries",
journal = "Journal of Computational Physics",
year = "1985",
volume = "60",
number = "3",
pages ="376--390"
}

@article{Alexandrou/Entov:1997,
author = "Alexandrou, A.N. and Entov, V.",
title = "On the steady-state advancement of fingers and bubbles in a {H}ele--{S}haw cell filled by a non-{N}ewtonian fluid",
journal = "European Journal of Applied Mathematics",
year = "1997",
volume = "8",
number = "1",
pages ="73--87"
}

@article{Alikakos/Bates/etc:1994,
author = "Alikakos, N.D. and Bates, P.W. and Chen, X.F.",
title = "Convergence of the {C}ahn--{H}illiard equation to the {H}ele--{S}haw
model",
journal = "Archive for Rational Mechanics and Analysis",
year = "1994",
volume = "128",
number = "2",
pages ="165--205"
}

@article{Almeida/Faria/etc:1998,
author = "Almeida, A. and Faria, L. and Febra, R.",
title = "Refined two-dimensional models for the analysis of free boundary
flows between parallel plates",
journal = "Computer Methods in Applied Mechanics and Engineering",
year = "1998",
volume = "151",
number = "1--2 SISI",
pages ="163--180"
}

@article{Almgren/Bertozzi/etc:1996,
author = "Almgren, R. and Bertozzi, A. and Brenner, M.P.",
title = "Stable and unstable singularities in the unforced {H}ele--{S}haw
cell",
journal = "Physics of Fluids",
year = "1996",
volume = "8",
number = "6",
pages ="1356--1370"
}

@article{Almgren/Dai/etc:1993,
author = "Almgren, R. and Dai, W.S. and Hakim, V.",
title = "Scaling behavior in anisotropic {H}ele--{S}haw flow",
journal = "Physical Review Letters",
year = "1993",
volume = "71",
number = "21",
pages ="3461--3464"
}

@article{Almgren:1995,
author = "Almgren, R.",
title = "Crystalline {S}affman--{T}aylor fingers",
journal = "{SIAM} Journal on Applied Mathematics",
year = "1995",
volume = "55",
number = "6",
pages ="1511--1535"
}

@article{Almgren:1996,
author = "Almgren, R.",
title = "Singularity formation in {H}ele--{S}haw bubbles",
journal = "Physics of Fluids",
year = "1996",
volume = "8",
number = "2",
pages ="344--352"
}

@article{Alt/VanDuijn:1990,
author = "Alt, H.W. and Van Duijn, C.J.",
title = "A stationary flow of fresh and salt groundwater in a coastal aquifer",
journal = "Nonlinear Analysis, Methods and Applications",
year = "1990",
volume = "14",
number = "8",
pages ="625--656"
}

@article{Altan/Subbiah/etc:1990,
author = "Altan, M.C. and Subbiah, S. and Guceri, S.I. and Pipes, R.B.",
title = "Numerical prediction of 3-dimensional fiber orientation in {H}ele--{S}haw flows",
journal = "Polymer Engineering and Science",
year = "1990",
volume = "30",
number = "14",
pages ="848--859"
}

@article{Aniss/Brancher/etc:1993,
author = "Aniss, S. and Brancher, J.P. and Souhar, M.",
title = "Thermal-convection in a magnetic fluid in an annular {H}ele--{S}haw
cell",
journal = "Journal of Magnetism and Magnetic Materials",
year = "1993",
volume = "122",
number = "1--3",
pages ="319--322"
}

@article{Aniss/Brancher/etc:1995,
author = "Aniss, S. and Brancher, J.P. and Souhar, M.",
title = "Thermoconvective instability of magnetic fluid in {H}ele--{S}haw
cell",
journal = "Comptes Rendus de l'Acad{\'{e}}mie des Sciences S{\'{e}}rie Ii Fascicule B",
year = "1995",
volume = "321",
number = "4",
pages ="133--138"
}

@article{Aniss/Souhar/etc:1995,
author = "Aniss, S. and Souhar, M. and Brancher, J.P.",
title = "Asymptotic study and weakly nonlinear analysis at the onset of
{R}ayleigh--{B}enard convection in {H}ele--{S}haw cell",
journal = "Physics of Fluids",
year = "1995",
volume = "7",
number = "5",
pages ="926--934"
}

@article{Aouidef/Normand/etc:1995,
author = "Aouidef, A. and Normand, C. and Wesfreid, J.E.",
title = "Coriolis instability of pulsed flow",
journal = "Physics of Fluids",
year = "1995",
volume = "7",
number = "9",
pages ="2230--2242"
}

@article{Arneodo/Argoul/etc:1991,
author = "Arn{\'{e}}odo, A. and Argoul, F. and Couder, Y. and Rabaud, M.",
title = "Anisotropic {L}aplacian growths --- from diffusion-limited
aggregates to dendritic fractals",
journal = "Physical Review Letters",
year = "1991",
volume = "66",
number = "18",
pages ="2332--2335"
}

@article{Arneodo/Couder/etc:1989,
author = "Arn{\'{e}}odo, A. and Couder, Y. and Grasseau, G. and Hakim, V. and
Rabaud, M.",
title = "Uncovering the analytical {S}affman--{T}aylor finger in unstable
viscous fingering and diffusion-limited aggregation",
journal = "Physical Review Letters",
year = "1989",
volume = "63",
number = "9",
pages ="984--987"
}

@article{Arneodo/Elezgaray/etc:1996,
author = "Arn{\'{e}}odo, A. and Elezgaray, J. and Tabard, M. and Tallet, F.",
title = "Statistical-analysis of off-lattice diffusion-limited
aggregates in channel and sector geometries",
journal = "Physical Review E",
year = "1996",
volume = "53",
number = "6B",
pages ="6200--6223"
}

@article{Aronson/Gil/etc:1998,
author = "Aronson, D.G. and Gil, O. and Vazquez, J.L.",
title = "Limit behaviour of focusing solutions to nonlinear diffusions",
journal = "Communications in Partial Differential Equations",
year = "1998",
volume = "23",
number = "1--2",
pages ="307--332"
}

@article{Auerbach/Strobel:1995,
author = "Auerbach, D. and Strobel, G.",
title = "Fingering patterns and their fractal dimensions",
journal = "Chaos, Solitons and Fractals",
year = "1995",
volume = "5",
number = "10",
pages ="1765"
}

@article{Baker/Siegel/etc:1995,
author = "Baker, G. and Siegel, M. and Tanveer, S.",
title = "A well-posed numerical method to track isolated conformal-map
singularities in {H}ele--{S}haw flow",
journal = "Journal of Computational Physics",
year = "1995",
volume = "120",
number = "2",
pages ="348--364"
}

@article{Bark/Sundstrom:1981,
author = "Bark, F.H. and Sundstrom, O.",
title = "A note on rotating {H}ele--{S}haw cells",
journal = "Journal of Fluid Mechanics",
year = "1981",
volume = "111",
pages ="271--281"
}

@article{Basu/Gandhi/etc:1997,
author = "Basu, S. and Gandhi, K.S. and Kumar, R.",
title = "Flow of liquid/liquid dispersions in a {H}ele--{S}haw cell",
journal = "Journal of Chemical Engineering of Japan",
year = "1997",
volume = "30",
number = "5",
pages ="852--866"
}

@article{Basu/Kumar/etc:1997,
author = "Basu, S. and Kumar, R. and Gandhi, K.S.",
title = "Detachment of a coalesced-phase blob from a circular obstacle in
a {H}ele--{S}haw cell",
journal = "Chemical Engineering Science",
year = "1997",
volume = "52",
number = "16",
pages ="2849--2855"
}

@article{Batchelor/Henry:1996,
author = "Batchelor, M.T. and Henry, B.I.",
title = "Pattern formation in an etched radial {H}ele--{S}haw cell",
journal = "Fractals---An Interdisciplinary Journal on the Complex Geometry
of Nature",
year = "1996",
volume = "4",
number = "2",
pages ="149--159"
}

@article{Bathaiah/Rani:1981,
author = "Bathaiah, D. and Rani, C.U.",
title = "On {MHD} unsteady {H}ele--{S}haw flow of viscoelastic fluid",
journal = "Current Science",
year = "1981",
volume = "50",
number = "8",
pages ="349--353"
}

@article{Battey/Gupta:1997,
author = "Battey, D.J. and Gupta, M.",
title = "A parametric study of sink marks in injection-molded plastic
parts using the finite element method",
journal = "International Polymer Processing",
year = "1997",
volume = "12",
number = "3",
pages ="288--299"
}

@article{Bau:1982,
author = "Bau, H.H.",
title = "{K}elvin--{H}elmholtz instability for parallel flow in porous media: A linear theory",
journal = "Physics of Fluids",
year = "1982",
volume = "25",
number = "10",
pages ="1719--1722"
}

@article{Bayada/Boukrouche/etc:1995,
author = "Bayada, G. and Boukrouche, M. and EL{--}Alaoui, T.",
title = "Generalized {H}ele--{S}haw type problems and the transient lubrication problem",
journal = "Zeitschrift f{\"{u}}r Analysis und ihre Anwendungen",
year = " 1995",
volume = "14",
number = "1",
pages = "59--87"
}

@article{Bedia/Benamar:1991,
author = "Bedia, M.A. and Ben Amar, M.",
title = "Faceting in directional solidification",
journal = "Physical Review A",
year = "1991",
volume = "43",
number = "10",
pages ="5702--5705"
}

@article{Begehr/Gilbert:1986,
author = "Begehr, H. and Gilbert, R.P.",
title = "{H}ele--{S}haw type flows in {$\mathbb{R}^{n}$}",
journal = "Nonlinear Analysis---Theory Methods and Applications",
year = "1986",
volume = "10",
number = "1",
pages ="65--85"
}

@article{Begehr/Gilbert:1987,
author = "Begehr, H. and Gilbert, R.P.",
title = "Non-{N}ewtonian {H}ele--{S}haw flows in {$n\geq 2$} dimensions",
journal = "Nonlinear Analysis---Theory Methods and Applications",
year = "1987",
volume = "11",
number = "1",
pages ="17--47"
}

@article{Benamar/Brener:1995,
author = "Ben Amar, M. and Brener, E.",
title = "Parity-broken dendrites",
journal = "Physical Review Letters",
year = "1995",
volume = "75",
number = "3",
pages ="561--564"
}

@article{Benamar/Brener:1996,
author = "Ben Amar, M. and Brener, E.",
title = "Laplacian and diffusional growth --- a unified theoretical
description for symmetrical and parity-broken patterns",
journal = "Physica D",
year = "1996",
volume = "98",
number = "1",
pages ="128--138"
}

@article{Benamar/Combescot/etc:1993,
author = "Ben Amar, M. and Combescot, R. and Couder, Y.",
title = "Viscous fingering with adverse anisotropy --- a new {S}affman--{T}aylor
finger",
journal = "Physical Review Letters",
year = "1993",
volume = "70",
number = "20",
pages ="3047--3050"
}

@article{Benamar/Hakim/etc:1991,
author = "Ben Amar, M. and Hakim, V. and Mashaal, M. and Couder, Y.",
title = "Self-dilating viscous fingers in wedge-shaped {H}ele--{S}haw cells",
journal = "Physics of Fluids A",
year = "1991",
volume = "3",
number = "7",
pages ="1687--1690"
}

@article{Benamar/Hakim/etc:1991b,
author = "Ben Amar, M. and Hakim, V. and Mashaal, M. and Couder, Y.",
title = "Self-dilating viscous fingers in wedge-shaped {H}ele--{S}haw cells",
journal = "Physics of Fluids A",
year = "1991",
volume = "3",
number = "9",
pages ="2039--2046"
}

@article{Benamar:1991,
author = "Ben Amar, M.",
title = "Viscous fingering in a wedge",
journal = "Physical Review A",
year = "1991",
volume = "44",
number = "6",
pages ="3673--3685"
}

@article{Benamar:1991b,
author = "Ben Amar, M.",
title = "Exact self-similar shapes in viscous fingering",
journal = "Physical Review A",
year = "1991",
volume = "43",
number = "10",
pages ="5724--5727"
}

@article{Benamar:1991c,
author = "Ben Amar, M.",
title = "Anisotropic radial growth",
journal = "Europhysics Letters",
year = "1991",
volume = "16",
number = "4",
pages ="367--372"
}

@article{Benamar:1992,
author = "Ben Amar, M.",
title = "Plumes in {H}ele--{S}haw cells",
journal = "Physics of Fluids A",
year = "1992",
volume = "4",
number = "12",
pages ="2641--2650"
}

@article{Benamar:1993,
author = "Ben Amar, M.",
title = "Compact or fractal patterns in diffusion limited growth",
journal = "Journal de Physique I",
year = "1993",
volume = "3",
number = "2",
pages ="353--363"
}

@article{Benamar:1995,
author = "Ben Amar, M.",
title = "Viscous fingering --- a singularity in {L}aplacian growth-models",
journal = "Physical Review E",
year = "1995",
volume = "51",
number = "5A",
pages ="R3819--R3822"
}

@article{Bensimon/Kadanoff/etc:1986,
author = "Bensimon, D. and Kadanoff, L.P. and Liang, S.D. and Shraiman,
B.I. and Tang, C.",
title = "Viscous flows in 2 dimensions",
journal = "Reviews of Modern Physics",
year = "1986",
volume = "58",
number = "4",
pages ="977--999"
}

@article{Bensimon:1986,
author = "Bensimon, D.",
title = "Stability of viscous fingering",
journal = "Physical Review A",
year = "1986",
volume = "33",
number = "2",
pages ="1302--1308"
}

@Inproceedings{Bertozzi/Brenner/etc:1994,
author = "Bertozzi, A.L. and Brenner, M.P. and Dupont, T.F. and
Kadanoff, L.P.",
title = "Singularities and similarities in interface
flows",
booktitle = "Trends and Perspectives in Applied Mathematics",
editor = "L. Sirovich",
publisher = "Springer",
year = "1994",
pages ="155-208"
}

@article{Bertozzi/Pugh:1996,
author = "Bertozzi, A.L. and Pugh, M.",
title = "The lubrication approximation for thin viscous films --- regularity
and long-time behavior of weak solutions",
journal = "Communications on Pure and Applied Mathematics",
year = "1996",
volume = "49",
number = "2",
pages ="85--123"
}

@article{Bizon/Predtechensky/etc:1997,
author = "Bizon, C. and Predtechensky, A.A. and Werne, J. and Julien, K.
and McCormick, W.D. and Swift, J.B. and Swinney, H.L.",
title = "Dynamics and scaling in quasi-two-dimensional turbulent
convection",
journal = "Physica A",
year = "1997",
volume = "239",
number = "1--3",
pages ="204--210"
}

@article{Bizon/Werne/etc:1997,
author = "Bizon, C. and Werne, J. and Predtechensky, A.A. and Julien, K.
and McCormick, W.D. and Swift, J.B. and Swinney, H.L.",
title = "Plume dynamics in quasi-2d turbulent convection",
journal = "Chaos",
year = "1997",
volume = "7",
number = "1",
pages ="107--124"
}

@article{Bonn/Kellay/etc:1995,
author = "Bonn, D. and Kellay, H. and Ben Amar, M. and Meunier, J.",
title = "Viscous finger widening with surfactants and polymers",
journal = "Physical Review Letters",
year = "1995",
volume = "75",
number = "11",
pages ="2132--2135"
}



@article{Bonn/Meunier:1997,
author = "Bonn, D. and Meunier, J.",
title = "Viscoelastic free-boundary problems: non-{N}ewtonian viscosity
vs normal stress effects",
journal = "Physical Review Letters",
year = "1997",
volume = "79",
number = "14",
pages ="2662--2665"
}

@article{Boos/Thess:1997,
author = "Boos, W. and Thess, A.",
title = "Thermocapillary flow in a {H}ele--{S}haw cell",
journal = "Journal of Fluid Mechanics",
year = "1997",
volume = "352",
pages ="305--330"
}

@InProceedings{Boukrim/Mossino:1993,
  author = 	 "Boukrim, L. and Mossino, J.",
  title = 	 "Isoperimetric inequalities for a multidimensional {M}uskat problem",
  booktitle = 	 "Free Boundary Problems: Theory and Applications International Colloquium",
  year = 	 "1993"
}

@article{Boukrouche:1996,
author = "Boukrouche, M.",
title = "The quasiconformal mapping methods to solve a free boundary problem for generalized {H}ele--{S}haw flows",
journal = "Complex Variables",
year = "1996",
volume = "28",
pages ="227--242"
}

@article{Brechet/Kirkaldy:1992,
author = "Brechet, Y. and Kirkaldy, J.S.",
title = "Parabolic periodic-solutions of precipitation-modified ternary
diffusion equations",
journal = "Canadian Journal of Physics",
year = "1992",
volume = "70",
number = "4",
pages ="193--198"
}

@article{Brener/Levine/etc:1991,
author = "Brener, E. and Levine, H. and Tu, Y.H.",
title = "Mean-field theory for diffusion-limited aggregation in low
dimensions",
journal = "Physical Review Letters",
year = "1991",
volume = "66",
number = "15",
pages ="1978--1981"
}

@article{Brener/Levine/etc:1991b,
author = "Brener, E. and Levine, H. and Tu, Y.H.",
title = "Nonsymmetric {S}affman--{T}aylor fingers",
journal = "Physics of Fluids A",
year = "1991",
volume = "3",
number = "4",
pages ="529--534"
}

@article{Brener/Rabaud/etc:1993,
author = "Brener, E. and Rabaud, M. and Thome, H.",
title = "Effect of gravity on stable {S}affman--{T}aylor fingers",
journal = "Physical Review E",
year = "1993",
volume = "48",
number = "2",
pages ="1066--1072"
}

@article{Brener:1993,
author = "Brener, E.",
title = "Nonaxisymmetric patterns in the {S}affman--{T}aylor problem and in 3-dimensional directional solidification at low velocity",
journal = "Physical Review E",
year = "1993",
volume = "48",
number = "6",
pages ="4437--4443"
}

@article{Bruining/VanDuijn/etc:1991,
author = "Bruining, J. and Van Duijn, C.J. and Schotting, R.J.",
title = "Simulation of coning in bottom water-driven reservoirs",
journal = "Transport in porous media",
year = "1991",
volume = "6",
pages ="35--69"
}

@article{Buckmaster:1970,
author = "Buckmaster, J.D.",
title = "Some remarks on {H}ele--{S}haw flow and viscous tails",
journal = "Journal of Fluid Mechanics",
year = "1970",
volume = "41",
pages ="523--530"
}

@article{Bugliarello/Yanizeski:1981,
author = "Bugliarello, G. and Yanizeski, G.M.",
title = "Some phenomenological characteristics of the laminar-flow of
neutrally buoyant particles in {H}ele--{S}haw",
journal = "Biorheology",
year = "1981",
volume = "18",
number = "3--6",
pages ="331--346"
}

@article{Burgess/Foster:1990,
author = "Burgess, D. and Foster, M.R.",
title = "Analysis of the boundary conditions for a {H}ele--{S}haw bubble",
journal = "Physics of Fluids A",
year = "1990",
volume = "2",
number = "7",
pages ="1105--1117"
}

@article{Burgess/Hayot:1989,
author = "Burgess, D. and Hayot, F.",
title = "{S}affman--{T}aylor--type instability in a lattice gas",
journal = "Physical Review A",
year = "1989",
volume = "40",
number = "9",
pages ="5187--5192"
}

@article{Burgess/Tanveer:1991,
author = "Burgess, D. and Tanveer, S.",
title = "Infinite stream of {H}ele--{S}haw bubbles",
journal = "Physics of Fluids A",
year = "1991",
volume = "3",
number = "3",
pages ="367--379"
}

@article{Burghes/HewsonBrowne:1968,
author = "Burghes, D.N. and Hewson--Browne, R.C.",
title = "Time-dependent motions of the cavity formed when a uniform corpuscular flux is incident on the magnetic field on {$n$} line currents",
journal = "Journal of Plasma Physics",
year = "1968",
volume = "2",
number = "2",
pages ="189--195"
}

@article{Burns/Advani:1996,
author = "Burns, S.B.K. and Advani, S.G.",
title = "An experimental investigation of initial oscillations in a radial
{H}ele--{S}haw cell",
journal = "Experiments in Fluids",
year = "1996",
volume = "21",
number = "3",
pages ="187--200"
}

@article{Bush:1997,
author = "Bush, J.W.M.",
title = "The anomalous wake accompanying bubbles rising in a thin gap:
a mechanically forced {M}arangoni flow",
journal = "Journal of Fluid Mechanics",
year = "1997",
volume = "352",
pages ="283--303"
}

@article{Butler/Jiang:1996,
author = "Butler, R.M. and Jiang, Q.",
title = "Effect of gravity on movement of water-oil interface for
bottomwater driving upwards to a horizontal well",
journal = "Journal of Canadian Petroleum Technology",
year = "1996",
volume = "35",
number = "7",
pages ="47--56"
}

@article{Butler/Kanakia:1994,
author = "Butler, R.M. and Kanakia, V.",
title = "Recovery of heavy and conventional oils from pressure-depleted
reservoirs using horizontal wells",
journal = "Journal of Canadian Petroleum Technology",
year = "1994",
volume = "33",
number = "10",
pages ="27--33"
}

@article{Caginalp:1989c,
author = "Caginalp, G.",
title = "Stefan and {H}ele--{S}haw type models as asymptotic limits of
the phase-field equations",
journal = "Physical Review A",
year = "1989",
volume = "39",
number = "11",
pages ="5887--5896"
}

@article{Caginalp:1990,
author = "Caginalp, G.",
title = "The dynamics of a conserved phase field system --- {S}tefan-like, {H}ele--{S}haw, and {C}ahn--{H}illiard models as asymptotic limits",
journal = "IMA Journal of Applied Mathematics",
year = "1990",
volume = "44",
number = "1",
pages ="77--94"
}

@article{Cardoso/Woods:1995,
author = "Cardoso, S.S.S. and Woods, A.W.",
title = "The formation of drops through viscous instability",
journal = "Journal of Fluid Mechanics",
year = "1995",
volume = "289",
pages ="351--378"
}

@article{Carrillo/Magdaleno/etc:1996,
author = "Carrillo, L. and Magdaleno, F.X. and Casademunt, J. and Ortin,
J.",
title = "Experiments in a rotating {H}ele--{S}haw cell",
journal = "Physical Review E",
year = "1996",
volume = "54",
number = "6",
pages ="6260--6267"
}

@article{Carrillo/Magdaleno/etc:1996b,
author = "Carrillo, L. and Magdaleno, F.X. and Casademunt, J. and 
Ort{\'{i}}n, J.",  
title = "Experiments in a rotating {H}ele--{S}haw cell",
journal = "Physical Review E",
year = "1996",
volume = "54",
pages ="6260-6267"
}

@article{Casademunt/Jasnow/etc:1992,
author = "Casademunt, J. and Jasnow, D. and Hernandez--Machado, A.",
title = "Interface equation and viscosity contrast in {H}ele--{S}haw flow",
journal = "International Journal of Modern Physics B",
year = "1992",
volume = "6",
number = "10",
pages ="1647--1656"
}

@article{Casademunt/Jasnow:1991,
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