% Bibtex file containing articles on Stokes flow.
%Created by Keith A. Gillow 1/6/1998
%from data supplied by S.D. Howison

@article{Acrivos:1983,
author = "Acrivos, A.",
title = "The breakup of small drops and bubbles in shear flows",
journal = "Annals of the New York Academy of Science",
year = "1983",
volume = "404",
pages ="1--11"
}

@article{Antanovskii:1991,
author = "Antanovskii, L.K.",
title = "Boundary integral equations in 
quasisteady problems of capillary fluid mechanics, Part 2: Application
of the stress-stream function",
journal ="Meccanica",
year = "1991",
pages ="59--65"
}

@article{Antanovskii:1992,
author = "Antanovskii, L.K.",
title = "The bi-analytic stress-stream function 
in plane quasistationary problems of capillary hydrodynamics",
journal ="Siberian Mathematical Journal",
year = "1992",
volume = "33",
number = "1",
pages ="1--11"
}

@article{Antanovskii:1992b,
author = "Antanovskii, L.K.",
title = "Creeping thermocapillary motion of
 a two-dimensional deformable bubble: existence theorem and numerical
 simulation",
journal ="European Journal of Mechanics B",
year = "1992",
volume = "11",
number = "6",
pages ="741--758"
}

@InProceedings{Antanovskii:1993,
author = "Antanovskii, L.K.",
title = "Analyticity  of a free boundary
 in plane quasi-steady flow of a liquid form subject to variable surface
 tension",
booktitle =" Proc. of Conference: The Navier-Stokes Equations II: 
Theory and Numerical Methods, Oberwolfach 1991",
year = "1993",
pages ="1--16"
}

@article{Antanovskii:1994,
author = "Antanovskii, L.K.",
title = "Influence of surfactants on a creeping free boundary flow induced by two counter--rotating horizontal thin cylinders",
journal = "European Journal of Mechanics B",
year = "1994",
volume = "13",
number = "1",
pages ="73--92"
}

@article{Antanovskii:1994b,
author = "Antanovskii, L.K.",
title = "A plane inviscid incompressible bubble placed within a creeping viscous flow: formation of a cusped  bubble",
journal = "European Journal of Mechanics B",
year = "1994",
volume = "13",
number = "4",
pages ="491--509"
}

@article{Antanovskii:1996,
author = "Antanovskii, L.K.",
title = "Formation of a pointed drop in {T}aylor 4-roller mill",
journal = "Journal of Fluid Mechanics",
year = "1996",
volume = "327",
pages ="325--341"
}

@article{Badea/Duchon:1995,
author = "Badea, A. and Duchon, J.",
title = "Capillary driven evolution of an interface between viscous liquids",
journal ="Comptes Rendus Acad. Sci. Paris S\'erie I",
year = "1995",
volume = "320",
pages ="253--258"
}

@article{Buckmaster:1972,
author = "Buckmaster, J.D.",
title = "Pointed bubbles in slow viscous flow",
journal = "Journal of Fluid Mechanics",
year = "1972",
volume = "55",
pages ="385"
}

@article{Buckmaster:1973,
author = "Buckmaster, J.D.",
title = "Viscous gravity spreading of an oil slick",
journal = "Journal of Fluid Mechanics",
year = "1973",
volume = "59",
pages ="481"
}

@article{Buckmaster:1973b,
author = "Buckmaster, J.D.",
title = "Buckling of Thin viscous jets",
journal = "Journal of Fluid Mechanics",
year = "1973",
volume = "61",
pages ="449"
}

@article{Chivilikhin:1990,
author = "Chivilikhin, S.A.",
title = " Dynamics of a free multiply connected surface of a viscous liquid",
journal ="Soviet Physics Doklady",
year = "1990",
volume = "35",
number = "11",
pages ="923--924"
}

@article{Cummings/Howison/etc:1997b,
author = "Cummings, L.J. and Howison, S.D. and King, J.R.",
title = "Conserved quantities in {S}tokes flow with free surfaces",
journal = "Physics of Fluids",
year = "1997",
volume = "9",
number = "3",
pages ="477--480"
}

@article{Davis/Frenkel:1992,
author = "Davis, A.M.J. and Frenkel, A.L.",
title = "Cylindrical liquid bridges squeezed between parallel plates ---
exact {S}tokes flow solutions and hydrodynamic forces",
journal = "Physics of Fluids A",
year = "1992",
volume = "4",
number = "6",
pages ="1105--1109"
}

@article{Garabedian:1966,
  author =       {Garabedian, P.R.},
  title =        {Free Boundary flows of a viscous liquid},
  journal =      {Comm. Pure \& Appl. Math.},
  year =         {1966},
  volume =       {XIX},
  pages =        {421--434},
}

@InProceedings{Graaf:1993,
  author = "de Graaf, J.",
  title = "Mathematical addenda to {H}opper's model of plane {S}tokes flow driven by capillarity on a free surface",
  booktitle = "Proceedings of the Conference on Modern Mathematical Physics",
  year = "1992",
  editor = "G.F. Helminck",
  pages = "167--185",
}

@article{Gunther/Prokert:1997,
author = "G{\"{u}}nther, M. and Prokert, G.",
title = "Existence results for the quasistationary motion of a capillary liquid drop",
journal ="Zeitschrift f{\"{u}}r Analysis und ihre Anwendungen",
year = "1997",
volume = "16",
number = "2",
pages ="311--348"
}

@article{Hansen:1991,
author = "Hansen, E.B.",
title = "Stokes flow of a fluid layer over an obstacle on a tilted plane",
journal = "Mathematical Computer Modelling",
year = "1991",
volume = "15",
number = "3--5",
pages ="185--193"
}

@article{Harper:1983,
author = "Harper, J.F.",
title = "Axisymmetric {S}tokes flow images in spherical free surfaces
with applications to rising bubbles",
journal = "Journal of the Australian Mathematical Society Series B",
year = "1983",
volume = "25",
pages ="217--231"
}

@article{Hopper:1985,
author = "Hopper, R.W.",
title = "Coalescence of two equal cylinders: Exact results for creeping viscous plane flow driven by capillarity",
journal = "Journal of the American Ceramic Society (Comm.)",
year = "1985",
volume = "67",
pages = "C262--264",
note = "Errata, {\em ibid.} 68, C138"
}

@article{Hopper:1990,
author = "Hopper, R.W.",
title = "Plane {S}tokes flow driven by capillarity on a free surface",
journal = "Journal of Fluid Mechanics",
year = "1990",
volume = "213",
pages ="349--375"
}

@article{Hopper:1991,
author = "Hopper, R.W.",
title = "Plane {S}tokes flow driven by capillarity on a free surface. 2 --- Further Developments",
journal = "Journal of Fluid Mechanics",
year = "1991",
volume = "230",
pages ="355--364"
}

@article{Hopper:1992,
author = "Hopper, R.W.",
title = "{S}tokes flow of a cylinder and half-space driven by capillarity",
journal = "Journal of Fluid Mechanics",
year = "1992",
volume = "243",
pages ="171--181"
}

@article{Hopper:1993,
author = "Hopper, R.W.",
title = "Capillarity--driven plane {S}tokes--flow exterior to a parabola",
journal = "Quarterly Journal of Mechanics and Applied Mathematics",
year = "1993",
volume = "46",
number = "2",
pages ="193--210"
}

@article{Howison/Richardson:1995b,
author = "Howison, S.D. and Richardson, S.",
title = "Cusp development in free boundaries, and two-dimensional slow viscous flows",
journal = "European Journal of Applied Mathematics",
year = "1995",
volume = "6",
pages ="441--454"
}

@article{Ingham/Yuan:1997,
author = "Ingham, D.B. and Yuan, Y.",
title = "Multiple solutions of {S}tokes flow with a free surface",
journal = "Engineering Analysis with Boundary Elements",
year = "1997",
volume = "19",
number = "4",
pages ="261--268"
}

@article{Jeong/Moffatt:1992,
author = "Jeong, J. and Moffatt, H.K.",
title = "Free surface cusps associated with flow at low {R}eynolds number",
journal = "Journal of Fluid Mechanics",
year = "1992",
volume = "241",
pages ="1--22"
}

@article{Johnson/Sadhal:1983,
author = "Johnson, R.E. and Sadhal, S.S.",
title = "{S}Tokes--flow past bubbles and drops partially coated with thin
films.  2: Thin films with internal circulation --- a
perturbation solution",
journal = "Journal of Fluid Mechanics",
year = "1983",
volume = "132",
pages ="295--318"
}

@article{Joseph/Nelson/etc:1991,
author = "Joseph, D.D. and Nelson, J. and Renardy, M. and Renardy, Y.",
title = "Two-dimensional cusped interfaces",
journal = "Journal of Fluid Mechanics",
year = "1991",
volume = "223",
pages ="383--409"
}

@article{Joseph:1992,
author = "Joseph, D.D.",
title = "Understanding cusped interfaces",
journal = "Journal of Non-Newtonian Fluid Mechanics",
year = "1992",
volume = "44",
pages ="127--148"
}

@article{Kleinobbink:1995,
author = "Klein Obbink, B.",
title = "Theorem on the existence of solutions of quasi-static moving
boundary problems",
journal = "European Journal of Applied Mathematics",
year = "  1995",
volume = "6",
number = "5",
pages ="529--538"
}

@article{Kuiken:1990,
author = "Kuiken, H.K.",
title = "Viscous sintering: 
the surface-tension-driven flow of a liquid form under the influence of 
curvature gradients at its surface",
journal ="Journal of Fluid Mechanics",
year = "1990",
volume = "214",
pages ="503--515"
}

@Inproceedings{Kuiken:1990b,
author = "Kuiken, H.K.",
title = "Deforming surfaces and viscous sintering",
booktitle = "The Mathematics of Deforming Surfaces",
year = "1996",
editor = "D.G. Dritschel and R.J. Perkins",
publisher = "Oxford University Press",
pages ="75--97"
}

@article{Plotnikov:1995,
author = "Plotnikov, P.I.",
title = "On a class of curves that arises 
in a problem with a free boundary for {S}tokes flow",
journal ="Siberian Mathematical Journal",
year = "1995",
volume = "36",
number = "3",
pages ="533--540"
}

@article{Pozrikidis:1997,
author = "Pozrikidis, C.",
title = "Numerical studies of singularity formation at free surfaces
and fluid interfaces in two-dimensional {S}tokes flow",
journal = "Journal of Fluid Mechanics",
year = "1997",
volume = "331",
pages ="145--167"
}

@article{Pozrikidis:1998,
author = "Pozrikidis, C.",
title = "Numerical studies of cusp formation at fluid interfaces in {S}tokes
flow",
journal = "Journal of Fluid Mechanics",
year = "1998",
volume = "357",
pages ="29--57"
}

@article{Prokert:1995,
author = "Prokert, G.",
title = "On the existence of solutions in plane
quasistationary {S}tokes flow driven by surface tension",
journal ="European Journal of Applied Mathematics",
year = "1995",
volume = "6",
pages ="539--558"
}

@article{Rallison:1984,
author = "Rallison, J.M.",
title = "The deformation of small viscous drops and bubbles in shear flows",
journal = "Annual Review of Fluid Mechanics",
year = "1984",
volume = "16",
pages ="45--66"
}

@article{Reinelt/Saffman:1985b,
author = "Reinelt, D.A. and Saffman, P.G.",
title = "The penetration of a finger into viscous fluid in a channel and tube",
journal = "SIAM Journal of Science, Statistics and Computing",
year = "1985",
volume = "6",
number = "3",
pages ="542--561"
}

@article{Richardson:1968,
author = "Richardson, S.",
title = "Two-dimensional bubbles in slow viscous flows",
journal = "Journal of Fluid Mechanics",
year = "1968",
volume = "33",
number = "3",
pages = "475--493"
}

@article{Richardson:1973b,
author = "Richardson, S.",
title = "Two-dimensional bubbles in slow viscous flows. 2",
journal = "Journal of Fluid Mechanics",
year = "1973",
volume = "58",
number = "1",
pages = "115--127"
}

@article{Richardson:1992b,
author = "Richardson, S.",
title = "Two-dimensional slow viscous flows with time-dependent free boundaries driven by surface tension",
journal = "European Journal of Applied Mathematics",
year = "1992",
volume = "3",
pages ="193--207"
}

@article{Richardson:1995,
author = "Richardson, S.",
title = "Optimum profiles in two-dimensional {S}tokes flow",
journal = "Proceedings of the Royal Society of London Series A",
year = "1995",
volume = "450",
pages ="603--622"
}

@article{Richardson:1997c,
author = "Richardson, S.",
title = "Two-dimensional {S}tokes flows with time-dependent free boundaries
driven by surface tension",
journal = "European Journal of Applied Mathematics",
year = "1997",
volume = "8",
number = "4",
pages ="311--329"
}

@article{Sarkar/Prosperetti:1996,
author = "Sarkar, K. and Prosperetti, A.",
title = "Effective boundary conditions for {S}tokes flow over a rough surface",
journal = "Journal of Fluid Mechanics",
year = "1996",
volume = "316",
pages ="223--240"
}

@article{Spence/Wilmott:1988,
author = "Spence, D.A. and Wilmott, P.",
title = "Rotation and deformation of a viscous inclusion in {S}tokes--flow",
journal = "Proceedings of the Royal Society of London Series A",
year = "1988",
volume = "418",
number = "1855",
pages ="383--403"
}

@article{Tanveer/Crowdy:1998,
author = "Tanveer, S. and Crowdy, D.G.",
title = "A theory of exact solutions for plane viscous blobs",
journal = "Journal Nonlinear Science",
year = "1998",
volume = "8",
pages ="261--279"
}

@article{Tanveer/Crowdy:1998b,
author = "Tanveer, S. and Crowdy, D.G.",
title = "A theory of exact solutions for annular viscous blobs",
journal = "Journal Nonlinear Science",
year = "1998",
volume = "8",
pages ="375--400"
}

@article{Tanveer/Vasconcelos:1994,
author = "Tanveer, S. and Vasconcelos, G.L.",
title = "Bubble breakup in two-dimensional {S}tokes flow",
journal = "Physical Review Letters",
year = "1994",
volume = "73",
number = "21",
pages ="2845--2848"
}

@article{Tanveer/Vasconcelos:1995,
author = "Tanveer, S. and Vasconcelos, G.L.",
title = "Time-evolving bubbles in two-dimensional {S}tokes flow",
journal = "Journal of Fluid Mechanics",
year = "1995",
volume = "301",
pages ="325--344"
}

@article{Ton/Blake:1982,
author = "Ton, T.C. and Blake, J.R.",
title = "General solutions of the {S}tokes flow equations",
journal = "Journal of Mathematical Analysis and Applications",
year = "1982",
volume = "90",
number = "1",
pages ="72--84"
}

@article{Tuck/Stokes/etc:1997,
author = "Tuck, E.O. and {S}tokes, Y.M. and Schwartz, L.W.",
title = "Slow slumping of a very viscous liquid bridge",
journal = "Journal of Engineering Mathematics",
year = "1997",
volume = "32",
number = "1",
pages ="27--40"
}

@article{VandeVorst/Mattheij/etc:1992,
author = "van de Vorst, G.A.L. and Mattheij, R.M.M. and Kuiken H.K.",
title = "A boundary element solution for two-dimensional viscous
sintering",
journal = "Journal of Computational Physics",
year = "1992",
volume = "100",
number = "1",
pages ="50--63"
}

@Inproceedings{VandeVorst/Mattheij:1991,
author = "van de Vorst, G.A.L. and Mattheij, R.M.M.",
title = "Implementing the boundary element method for 2-D viscous sintering",
booktitle = "Computational Modelling of Free and Moving Boundary Problems, Vol. 1: Fluid Flow",
editor = "L.C. Wrobel and C.A. Brebbia",
publisher = "Computational Mechanics Publications",
year = "1991",
pages = "341--355"
}

@article{VandeVorst/Mattheij:1992,
author = "van de Vorst, G.A.L. and Mattheij, R.M.M.",
title = "Numerical analysis of a 2-{D} viscous sintering problem with
non-smooth boundaries",
journal = "Computing",
year = "1992",
volume = "49",
pages ="239--263"
}

@article{VandeVorst/Mattheij:1995,
author = "Vorst, G.A.L. van de and Mattheij, R.M.M.",
title = "A {BEM}-{BDF} scheme for curvature driven moving Stokes flows",
journal = "Journal of Computational Physics",
year = "1995",
volume = "120",
pages ="1--14"
}

@article{VandeVorst:1993,
author = "Vorst, G.A.L. van de",
title = "Integral method for a two-dimensional Stokes flow with
shrinking holes applied to viscous sintering",
journal = "Journal of Fluid Mechanics",
year = "1993",
volume = "257",
pages ="667--689"
}

@Inproceedings{VandeVorst:1993b,
author = "van de Vorst, G.A.L.",
title = "A {BEM} solution for the simulation of axisymmetric
viscous sintering",
booktitle = "Computational Modelling of Free and Moving Boundary
Problems II",
editor = "L.C. Wrobel and C.A. Brebbia",
publisher = "Computational Mechanics Publications",
year = "1993",
pages = "123--130"
}

@article{VandeVorst:1996b,
author = "van de Vorst, G.A.L.",
title = "Integral formulation to simulate the viscous sintering of a
two-dimensional lattice of periodic unit cells",
journal = "Journal of Engineering Mathematics",
year = "  1996",
volume = "30",
pages ="97--118"
}

@article{Yarin:1995,
author = "Yarin, A.L.",
title = "Surface-tension-driven flows at low Reynolds number arising
in optoelectronic technology",
journal = "Journal of Fluid Mechanics",
year = "1995",
volume = "286",
pages ="173--200"
}

@article{Youngren/Acrivos:1976,
author = "Youngren, G.K. and Acrivos, A.",
title = "On the shape of a gas bubble in a viscous extensional flow",
journal = "Journal of Fluid Mechanics",
year = "1976",
volume = "76",
number = "3",
pages ="433--442"
}

@article{Zhang/Basaran:1997,
author = "Zhang, X.G. and Basaran, O.A.",
title = "Dynamic surface tension effects in impact of a drop with a solid
surface",
journal = "Journal of Colloid and Interface Science",
year = "1997",
volume = "187",
number = "1",
pages ="166--178"
}