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)


D.G. Crowdy,
“Flipping and scooping of curved 2D rigid fibers in simple shear: the Jeffery equations'',

Phys. Fluids, 28, 053105, (2016). [doi:]

D.G. Crowdy,
“Analytical formulae for longitudinal slip lengths over unidirectional superhydrophobic surfaces with curved menisci'',

J. Fluid Mech, 791, R7, (2016). [doi:]

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:]

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:]

D.G. Crowdy,
“Effective slip lengths for longitudinal shear flow over partial-slip circular bubble mattresses
Fluid. Dyn. Res, 47(6), 065507, (2015). [doi:]

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:

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,
[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,
[doi: 10.1098/rspa.2008.0252].

D.G. Crowdy
“An assembly of steadily translating bubbles in a Hele-Shaw channel",
Nonlinearity , 22, 51-65,
[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,
[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,

D.G. Crowdy
“Conducting drops subject to electric fields in 2D Stokes flows",
IMA J. Appl. Math., 73(5), 740-758,

S.G Llewellyn-Smith, S. Michelin & D.G. Crowdy
“The dipolar field of rotating bodies in two dimensions",
J. Fluid Mech. , 607, 109-118,

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,

A. Surana & D.G. Crowdy
“Vortex dynamics in complex domains on a spherical surface",
J. Comp. Phys., 227(12), 6058-6070,

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,

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,

D.G. Crowdy
“Exact solutions to the unsteady two-phase Hele-Shaw problem",
Quart. J. Mech. Appl. Math. , 59, 475-485,

D.G. Crowdy
“Analytical solutions for uniform potential flow past multiple cylinders",
Eur. J. Mech. B/Fluids , 25(4), 459-470,

D.G. Crowdy
“Point vortex motion on the surface of a sphere with impenetrable boundaries",
Phys. Fluids, 18, 036602,

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,

D.G. Crowdy and J.S. Marshall
“The motion of a point vortex through gaps in walls",
J. Fluid Mech., 551, 31--48,

D.G. Crowdy
“Genus N algebraic reductions of the Benney hierarchy within a Schottky model ",
J. Phys. A: Math. Gen., 38, 10917--10934,

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,

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,

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).