Review articles (no links to files):
D.G. Crowdy, "Quadrature domains and fluid dynamics", in "Quadrature domains and applications", a Harold Shapiro Anniversary volume (Eds. Ebenfelt, Gustafsson, Khavinson, Putinar), Birkhauser, (2005).
M.Z. Bazant & D.G. Crowdy, "Conformal mapping methods for interfacial dynamics", Handbook of Materials Modelling, Vol I, 4.10 (Ed. S. Yip), Springer, (2005).
S. Boatto & D.G. Crowdy, "Point vortex dynamics", Encyclopedia of Mathematical Physics, Springer-Verlag, (2006).
D.G. Crowdy and J.S. Marshall,
"Conformal maps to generalized quadrature domains" in
Special functions and orthogonal polynomials,
American
Mathematical Society, Contemporary Mathematics Series, (2008).
D.G.
Crowdy and J.S. Marshall,
"Uniformizing real hyperelliptic M-curves using the Schottky-Klein
prime function" in
Computational approaches to Riemann surfaces,
Lecture
Notes in Mathematics 2013, Springer, (2011)
D.G.
Crowdy,
"Geometry-fitted Fourier-Mellin transform pairs", Mathematical
Analysis, Probability and Applications - Plenary Lectures, Vol 177, Springer
Proceedings in Mathematics and Statistics, pp 37-53, (2016)
Papers/articles
D.G.
Crowdy,
“Flipping
and scooping of curved 2D rigid fibers in simple shear: the Jeffery equations'',
Phys.
Fluids, 28, 053105, (2016). [doi: dx.doi.org/10.1063/1.4948776]
D.G.
Crowdy,
“Analytical
formulae for longitudinal slip lengths over unidirectional superhydrophobic
surfaces with curved menisci'',
J.
Fluid Mech, 791, R7, (2016). [doi: dx.doi.org/10.1017/jfm.2016.88]
D.G. Crowdy
and P. Buchak
“Surface-tension-driven
Stokes flow: a numerical method based on conformal geometry'',
J.
Comp. Phys., 317, 347-361, (2016). [doi: dx.doi.org/10.1016/j.jcp.2016.04.044]
D.G.
Crowdy, S. Tanveer and T. DeLillo
“Hybrid
basis scheme for computing electrostatic fields exterior to close-to-touching
discs'',
IMA.
J. Numer. Anal., 36(2), 743-769, (2016). [doi: dx.doi.org/10.1093/imanum/drv030]
D.G. Crowdy,
“Effective
slip lengths for longitudinal shear flow over partial-slip circular bubble
mattresses '',
Fluid.
Dyn. Res, 47(6), 065507, (2015). [doi: dx.doi.org/10.1088/0169-5983/47/6/065507]
D.G. Crowdy,
“Uniform
flow past a periodic array of cylinders'',
Eur.
J. Mech. B/Fluids, 56, 120-129, (2016). [doi: 10.1016/j.euromechflu.2015.10.003]
D.G. Crowdy
“A
constructive method for plane-wave representations of special functions'',
J.
Math. Anal. Appl., 436, 149-167, (2016). [doi: dx.doi.org/10.1016/j.jmaa.2015.11.013]
D.G. Crowdy,
“A
transform method for Laplace's equation in multiply connected circular
domains '',
IMA.
J. Appl. Math, 80(6), 1902-1931, (2015). [doi: 10.1093/imamat/hxv019]
D.G.
Crowdy,
“Fourier-Mellin
transforms for circular domains'',
Comput.
Methods. Funct. Theory, 15, 655-687, (2015). [doi: 10.1007/s40315-015-0139-6]
M. Chen,
Y. Stokes, P. Buchak, D.G. Crowdy & H. Ebendorff-Heidepriem,
“Microstructured
optical fibre drawing with active channel pressurisation'',
J.
Fluid Mech., 783, 137-165, (2015).
M. Chen, Y.
Stokes, P. Buchak, D.G. Crowdy, H.T.C. Foo, A. Dowler & H. Ebendorff-Heidepriem,
“Drawing
tubular fibres:experiments versus mathematical modelling'',
Opt.
Mater. Exp., 6(1), 166-180, (2016).
D.G. Crowdy,
“Exact
solutions for the static dewetting of two-dimensional charged conducting
droplets on a substrate'',
Phys.
Fluids, 27, 061705, (2015). [doi: 10.1063/1.4923313]
D.G.
Crowdy,
“Stress
fields around two pores in an elastic body: exact quadrature domain solutions'',
Proc.
Roy. Soc. A., 471, 20150240, (2015).
P. Buchak,
D.G. Crowdy, Y.M. Stokes & H. Ebendorff-Heidepriem,
“Elliptical
pore regularisation of the inverse problem for microstructured optical
fibres'',
J.
Fluid Mech., 778, 5-38, (2015).
G. Vasconcelos,
J. S. Marshall & D.G. Crowdy,
“Secondary
Schottky-Klein prime functions associated with multiply connected planar
domains'',
Proc.
Roy. Soc. A., 471, 2014688, (2014).
D.G.
Crowdy & E. Luca,
“Solving
Wiener-Hopf problems without kernel factorization'',
Proc.
Roy. Soc. A., 470, 20140304, (2014).
Y. M. Stokes, P. Buchak, D.G. Crowdy & H. Ebendorff-Heidepriem,
“Drawing
of micro-structured fibres: circular and non-circular tubes'',
J.
Fluid Mech., 755, 176-203, (2014) [doi:10.1017/jfm.2014.408]
D.G.
Crowdy,
“Vortex
patch equilibria of the Euler equation and random normal matrices'',
J.
Phys. A: Math. Theor., 47, 212002, (2014). [doi:10.1088/1751-8113/47/21/212002]
D.G.
Crowdy and J. Roenby,
“Hollow
vortices, capillary water waves and double quadrature domains'',
Fluid
Dyn. Res., 46(3), 031424, (2014). [doi:10.1088/0169-5983/46/3/031424]
A.M.J.
Davis and D.G. Crowdy,
“Matched
asymptotics for a spherical low-Reynolds-number treadmilling swimmer near
a rigid wall'',
IMA
J. Appl. Math., (2014). [doi:10.1093/imamat/hxu007]
D.G. Crowdy,
“Wall
effects on self-diffusiophoretic Janus particles: a theoretical study'',
J.
Fluid Mech., 735, 473-498, (2013). [doi:10.1017/jfm.2013.510]
D.G.
Crowdy,
“Surfactant-induced
stagnant zones in the Jeong-Moffatt free surface Stokes flow problem'',
Phys.
Fluids., 25, 092104, (2013). [doi:10.1063/1.4821137]
D.G.
Crowdy and A.M.J. Davis,
“Stokes
flow singularities in a two-dimensional channel: a novel transform approach
with application to microswimming'',
Proc.
Roy. Soc. A., 469, 20130198, (2013). [doi:10.1098/rspa.2013.0198]
D.G. Crowdy,
“Exact
solutions for cylindrical "slip-stick" Janus swimmers in Stokes
flow'',
J.
Fluid Mech., 719, R2, (2013). [doi:10.1017/jfm.2013.47]
D.G. Crowdy,
“Analytical
formulae for source and sink flows in multiply connected domains'',
Theor.
Comput. Fluid Dyn., 27, 1-19, (2013). [doi:10.1007/s00162-012-0258-x]
D.G. Crowdy,
S. Llewellyn Smith and D. Freilich,
“Translating
hollow vortex pairs'',
Eur.
J. Mech B/Fluids, 37, 180-186, (2012). [doi:10.1016/j.euromechflu.2012.09.007]
D.G. Crowdy,
“Conformal
slit maps in applied mathematics'',
ANZIAM
Journal, 53(3), 171-189, (2012). [doi:10.1017/S1446181112000119]
A.M.J. Davis
and D.G. Crowdy,
“Matched
asymptotics for a treadmilling low-Reynolds-number swimmer near a wall'',
Quart.
J. Mech. Appl. Math, 66, 53-73, (2012). [doi:10.1093/qjmam/hbs019]
A.M.J. Davis
and D.G. Crowdy,
“Stresslet
asymptotics for a treadmilling swimmer near a two-dimensional corner:
hydrodynamic bound states'',
Proc.
Roy. Soc. A, 468, 3765-3783, (2012). [doi:10.1098/rspa.2012.0237]
D.G.
Crowdy and C.C. Green,
“Analytical
solutions for von Karman streets of hollow vortices'',
Phys.
Fluids, 23, 126602, (2011). [doi:10.1063/1.3665102]
S.G.
Llewellyn Smith and D.G. Crowdy,
“Structure
and stability of hollow vortex equilibria'',
J.
Fluid Mech., 691, 170-200, (2012). [doi:10.1017/jfm.2011.467]
D.G. Crowdy,
“Frictional
slip lengths and blockage coefficients'',
Phys.
Fluids, 23, 091703, (2011). [doi:10.1063/1.3642621]
D.G. Crowdy,
“Frictional
slip lengths for unidirectional superhydrophobic grooved surfaces'',
Phys.
Fluids, 23, 072001, (2011). [doi:10.1063/1.3605575]
D.G. Crowdy,
A.S. Fokas and C.C. Green,
“Conformal
mappings to multiply connected polycircular arc domains'',
Comp.
Meth. Funct. Theory, 11(2), 685-706, (2011).
D.G. Crowdy,
S. Lee, O. Samson, E. Lauga and A.E. Hosoi,
“A
two-dimensional model of low-Reynolds number swimming beneath a free surface'',
J. Fluid. Mech., 681, 24-47, (2011). [doi:10.1017/jfm.2011.223]
D.G.
Crowdy,
“Treadmilling
swimmers near a no-slip wall at low Reynolds number'',
Int.
J. Nonlin. Mech., 46, 577-585, (2011). [doi:10.1016/j.ijnonlinmec.2010.12.010]
D.G.
Crowdy and O. Samson,
“Hydrodynamic
bound states of a low-Reynolds-number swimmer near a gap in a wall'',
J.
Fluid Mech., 667, 309--335, (2011). [doi:10.1017/S0022112010004465]
D.G.
Crowdy,
“Slip
length for longitudinal shear flow over a dilute periodic mattress of
protruding bubbles'',
Phys.
Fluids, 22, 121703, (2011). [doi:10.1063/1.3531683]
D.G. Crowdy
& O. Samson,
“Stokes
flow past gaps in a wall'',
Proc.
Roy. Soc. A, 466, 2727-2746, (2010).
A.A. Tchieu,
D.G. Crowdy and A. Leonard,
“Fluid-structure
interaction of two bodies in an inviscid fluid'',
Phys.
Fluids, 22, 107101, (2010). [doi:10.1063/1.3485063]
J. Choi,
D.G. Crowdy and M. Bazant,
“Diffusion-limited
aggregation on curved surfaces'',
EPL,
91, 46005, (2010). [doi:10.1209/0295-5075/91/46005]
D.G. Crowdy,
“The
Schottky-Klein prime function on the Schottky double of planar domains'',
Comp.
Meth. Funct. Theory, 10(2), 501-517, (2010).
D.G. Crowdy
and R. Nelson,
“Steady
interaction of a vortex street with a shear flow'',
Phys.
Fluids., 22, 096601, (2010). [doi:10.1063/1.3480398]
D.G. Crowdy
and Yizhar Or,
“Two-dimensional
point singularity model of a low-Reynolds-number swimmer near a wall'',
Phys.
Rev. E., 81, 036313, (2010).
D.G. Crowdy,
“A
new calculus for two-dimensional vortex dynamics'',
Theor.
Comput. Fluid Dyn., 24, 9-24, (2010).
D.G.
Crowdy,
“The
spreading phase in Lighthill's model of the Weis-Fogh lift mechanism'',
J.
Fluid Mech., 641,
195-204, (2009).
D.G.
Crowdy,
“On
rectangular vortex lattices'',
Appl.
Math. Lett., 23(1),
34-38, (2009).
D.G.
Crowdy,
“Explicit
solution of a class of Riemann-Hilbert problems'',
Annales
Universitatis Paedagogicae Cracoviensis, 8,
5-18, (2009).
D.G. Crowdy
& J.S. Marshall,
“Multiply
connected quadrature domains and the Bergman kernel function",
Complex Analysis and Operator Theory, 3(2), 379-397, (2009).
[doi: 10.1007/s11785-008-0090-x].
D.G.
Crowdy
“Multiple
steady bubbles in a Hele-Shaw cell",
Proc. Roy. Soc. A. , 465, 421-435, (2009).
[doi: 10.1098/rspa.2008.0252].
D.G.
Crowdy
“An
assembly of steadily translating bubbles in a Hele-Shaw channel",
Nonlinearity , 22, 51-65, (2008).
[doi: 10.1088/0951-7715/22/1/004].
D.G.
Crowdy
“Explicit
solution for the potential flow due to an assembly of stirrers in an inviscid
fluid ",
J. Eng. Math, 62 (4), 333-344, (2008).
[doi: 10.1007/s10665-008-9222-6].
D.G.
Crowdy
“Geometric
function theory: a modern view of a classical subject",
Nonlinearity, 21 (10), T205-T219, (2008).
[doi:10.1088/0951-7715/21/10/T04].
D.G.
Crowdy
“Conducting
drops subject to electric fields in 2D Stokes flows",
IMA J. Appl. Math., 73(5), 740-758, (2008).
[doi:10.1093/imamat/hxn022]
S.G
Llewellyn-Smith, S. Michelin & D.G. Crowdy
“The
dipolar field of rotating bodies in two dimensions",
J. Fluid Mech. , 607, 109-118, (2008).
D.G. Crowdy
& P. Buchak
“Exact
solutions for the evolution of ellipsoidal inclusions in porous media",
Quart. J. Mech. Appl. Math., 61(2), 161-180, (2008).
[doi:10.1093/qjmam/hbn005]
A. Surana & D.G. Crowdy
“Vortex
dynamics in complex domains on a spherical surface",
J. Comp. Phys., 227(12), 6058-6070, (2008).
[doi:10.1061/j.jcp.2008.02.027]
D.G. Crowdy
“The
Schwarz problem in multiply connected domains and the Schottky-Klein prime
function",
Complex Variables and Elliptic Equations, 53(3), 221-236,
(2008).
D.G. Crowdy
& J.S. Marshall
“Uniformizing
the boundaries of multiply connected quadrature domains using Fuchsian
groups" ,
Physica D, 235, 82-89, (2007).
D.G. Crowdy
“Conformal
mappings from annuli to canonical doubly connected Bell representations",
J. Math. Anal. Appl. , 340(1), 669-674, (2007).
D.G. Crowdy
& A. Surana
“Contour
dynamics in complex domains",
J. Fluid Mech., 593, 235-254, (2007).
D.G. Crowdy
& A.S. Fokas
“Conformal
mappings to a doubly connected polycircular arc domain",
Proc. Roy. Soc. A, 463, 1885-1907, (2007).
Y.A. Antipov
& D.G. Crowdy
“Riemann-Hilbert
problem for automorphic functions and the Schottky-Klein prime funtion",
Compl. Anal. Oper. Theory , 1(3), (2007). [doi:10.1007/s11785-007-0020-3]
D.G. Crowdy
“Schwarz-Christoffel
mappings to unbounded multiply connected polygonal regions",
Math. Proc. Camb. Phil. Soc. , 142, 319-339, (2007).
D.G. Crowdy
and J.S. Marshall
“Green's
functions for Laplace's equation in multiply connected domains",
IMA. J. Appl. Math, 72, 278--301, (2007). [doi:10.1093/imamat/hxm007]
D.G. Crowdy
and J.S. Marshall
“Computing
the Schottky-Klein prime function on the Schottky double of planar domains",
Comput. Methods Funct. Theory, 7(1), 293-308, (2007).
D.G. Crowdy,
A. Surana & K-Y Yick
“The
irrotational flow generated by two planar stirrers in inviscid fluid",
Phys. Fluids, 19, 018103, (2007).
D.G. Crowdy
“Exact
solutions to the unsteady two-phase Hele-Shaw problem",
Quart. J. Mech. Appl. Math. , 59, 475-485, (2006).
D.G. Crowdy
“Analytical
solutions for uniform potential flow past multiple cylinders",
Eur. J. Mech. B/Fluids , 25(4), 459-470, (2006).
D.G. Crowdy
“Point
vortex motion on the surface of a sphere with impenetrable boundaries",
Phys. Fluids, 18, 036602, (2006).
D.G. Crowdy
and J.S. Marshall
“Conformal
mappings between canonical multiply connected domains",
Comput. Methods Funct. Theory, 6(1), 59--76, (2006).
D.G. Crowdy
“Calculating
the lift on a finite stack of cylindrical aerofoils",
Proc. Roy. Soc. A., 462, 1387--1407, (2006).
D.G. Crowdy
and J.S. Marshall
“The
motion of a point vortex through gaps in walls",
J. Fluid Mech., 551, 31--48, (2006).
D.G. Crowdy
“Genus
N algebraic reductions of the Benney hierarchy within a Schottky model
",
J. Phys. A: Math. Gen., 38, 10917--10934, (2005).
D.G. Crowdy,
S Tanveer & G. Vasconcelos
“On
a pair of interacting bubbles in planar Stokes flow”
J. Fluid Mech., 541, 231--261, (2005).
D.G. Crowdy
“The
Schwarz-Christoffel mapping to bounded multiply connected polygonal domains
",
Proc. Roy. Soc. A., 461, 2653--2678, (2005).
D.G. Crowdy
“The
Benney hierarchy and the Dirichlet boundary problem in two dimensions”
Phys. Lett A, 343(4), 319-329, (2005).
D.G. Crowdy
& J. Marshall
“Analytical
formulae for the Kirchhoff-Routh path function in multiply connected domains",
Proc. Roy. Soc. A., 461, 2477--2501, (2005).
D.G. Crowdy
“Exact
solutions for uniform vortex layers attached to corners and wedges"
Eur. J. Appl. Math., 15, 643--650, (2005).
D.G. Crowdy
& L. Duchemin
“The
effect of solid boundaries on pore shrinkage in Stokes flow”
J. Fluid Mech., 531, 359-379, (2005).
D.G. Crowdy
& J.S. Marshall
“The
motion of a point vortex around multiple circular islands”
Phys. Fluids, 17, 056602, (2005).
D.G. Crowdy
“Quadrature
domains and fluid dynamics”
Operator theory: advances and applications
(a Harold Shapiro anniversary volume), 156, 113--129,
Birkhauser, (2005).
D.G. Crowdy
& J.S. Marshall
“Analytical
solutions for rotating vortex arrays involving multiple vortex patches”
J. Fluid Mech., 523, 307-338, (2005).
D.G. Crowdy
& M. Siegel
“Exact
solutions for the evolution of a bubble in Stokes flow: a Cauchy transform
approach”
SIAM J. Appl. Math., 65, 941-963, (2005).
D.G. Crowdy
“Explicit
solutions for a vortex-wave interaction”
J. Fluid Mech., 513, 161-170, (2004).
D.G. Crowdy
& J.S. Marshall
“On
the construction of multiply connected quadrature domains”
SIAM J. Appl. Math., 64, 1334-1359, (2004).
D.G. Crowdy
& J.S. Marshall
"Growing
vortex patches'',
Phys. Fluids, 16, 3122-3129,
(2004).
D.G. Crowdy
& S. Tanveer
“The
effect of finiteness in the Saffman-Taylor viscous fingering problem ”
J. Stat. Phys., 114, 1501-1536, (2004).
D.G. Crowdy
& A.S. Fokas
"Explicit
integral solutions for the plane elastostatic semi-strip”
Proc. Roy. Soc. A, 460, 1285-1310, (2004).
D.G. Crowdy
“Stuart
vortices on a sphere”
J. Fluid Mech., 498, 381-402, (2004).
D.G. Crowdy
“Polygonal
N-Vortex arrays: a Stuart model”
Phys. Fluids, 15(12), 3710-3717, (2003).
D.G. Crowdy
“An
elliptical-pore model of late-stage planar viscous sintering”
J. Fluid Mech., 501, 251-277, (2004).
D.G. Crowdy
“Viscous
sintering of unimodal and bimodal cylindrical packings with shrinking
pores”
Eur. J. Appl. Math., 14, 421-225, (2003).
D.G. Crowdy
“Compressible
bubbles in Stokes flow”
J. Fluid Mech., 476, 345-356, (2003).
D.G. Crowdy
& M. Cloke
“Analytical
solutions for distributed multipolar vortex equilibria on a sphere”
Phys. Fluids, 15(1), 22-34, (2002).
D.G. Crowdy
“Exact
solutions for two steady inviscid bubbles in the flow-field generated
by a four-roller mill”
J. Eng. Math. 44, 311-330, (2002).
D.G. Crowdy
“Exact
solutions for rotating vortex arrays with finite-area cores”
J.
Fluid Mech., 469, 209-235, (2002).
D.G. Crowdy
“Exact
solutions for the viscous sintering of multiply connected fluid domains”
J. Eng. Math., 42, 225-242, (2002).
D.G. Crowdy
& M. Cloke
“Stability
analysis of a class of two-dimensional multipolar vortex equilibria”
Phys. Fluids, 14(6), 1862-1876, (2002).
D.G. Crowdy
“Multipolar
vortices and algebraic curves”
Proc. Roy. Soc. A, 457, 2337-2359, (2001).
D.G. Crowdy
& H. Kang
“Squeeze
flow of multiply connected fluid domains in a Hele-Shaw cell”
J. Nonlinear Sci., 11(4), 279-304, (2001).
D.G. Crowdy
“Steady
nonlinear capillary waves on curved sheets”
Eur. J. Appl. Math., 12, 689-708, (2001).
D.G. Crowdy
“On
the construction of exact multipolar equilibria of the 2D Euler equations”
Phys. Fluids, 14(1), 257-267, (2002).
R.Wegmann
& D.G. Crowdy
"Shapes
of two-dimensional bubbles deformed by circulation"
Nonlinearity, 13, 2131-2141, (2000).
D.G. Crowdy
“A
theory of exact solutions for the evolution of an annular blob in a rotating
Hele-Shaw cell”
Q. Appl. Math., LX(1), 11-36, (2002).
D.G. Crowdy
“On
a class of geometry-driven free boundary problems”
SIAM. J. Appl. Math., 62(2), 945-954, (2002).
D.G. Crowdy
“A
new approach to free surface Euler flows with capillarity”
Stud. Appl. Math., 105, 35-58, (2000).
D.G. Crowdy
“Circulation-induced
shape deformations of drops and bubbles: exact two-dimensional models”
Phys. Fluids, 11(10), 2836-2845, (1999).
D.G. Crowdy
“A
note on viscous sintering and quadrature identities”
Eur. J. Appl. Math., 10, 623-634, (1999).
D.G. Crowdy
“A
class of exact multipolar vortices”
Phys. Fluids, 11(9), 2556-2564, (1999).
D.G. Crowdy
“Hele-Shaw
flows and water waves”
J. Fluid Mech., 409, 223-242, (2000).
D.G. Crowdy
“Exact
solutions for capillary waves on a fluid annulus”
J. Nonlinear Sci., 9, 615-640, (1999).
D.G. Crowdy
& S. Tanveer
“A
theory of exact solutions for plane viscous blobs”
J. Nonlinear Sci., 8(3), 261-279, (1998).
D.G. Crowdy
& S. Tanveer
“A
theory of exact solutions for annular viscous blobs”
J. Nonlinear Sci., 8(4), 375-400, (1998).
D.G. Crowdy
“A
note on the linear stability of Burgers' vortex”
Stud. Appl. Math., 100, 107-126, (1998).
D.G. Crowdy
“General
solutions of the 2D Liouville equation”
Int. J. Engng Sci., 35(2), 141-153, (1997).