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## Crowdy, Darren Gregory

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 Author ID: crowdy.darren-g Published as: Crowdy, Darren; Crowdy, Darren G.; Crowdy, D. G.; Crowdy, D. Homepage: http://wwwf.imperial.ac.uk/~dgcrowdy/ External Links: MGP
 Documents Indexed: 135 Publications since 1997, including 1 Book
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#### Co-Authors

 65 single-authored 14 Marshall, Jonathan S. 6 Krishnamurthy, Vikas S. 5 Buchak, Peter 5 Tanveer, Saleh 4 Davis, Anthony M. J. 4 Luca, Elena 4 Nelson, Rhodri B. 3 Constantin, Adrian 3 Ebendorff-Heidepriem, Heike 3 Fokas, Athanassios S. 3 Green, Christopher C. 3 Llewellyn Smith, Stefan G. 3 Samson, Ophir 3 Stokes, Yvonne Marie 3 Surana, Amit 3 Wheeler, Miles H. 2 Cloke, Martin 2 Vasconcelos, Giovani L. 2 Yariv, Ehud 1 Anselmo, Tiago 1 Antipov, Yuri A. 1 Brzezicki, Samuel J. 1 Champneys, Alan R. 1 Chen, Michael J. 1 DeLillo, Thomas K. 1 Duchemin, Laurent 1 Freilich, Daniel V. 1 Hodes, Marc 1 Hosoi, A. E. 1 Ishimoto, Kenta 1 Karamanis, Georgios 1 Kirk, Toby L. 1 Kropf, Everett H. 1 Lauga, Eric 1 Lee, Sungyon 1 Michelin, Sebastien 1 Mineev-Weinstein, Mark 1 Nasser, Mohamed M. S. 1 Papageorgiou, Demetrius 1 Pedley, Timothy J. 1 Putinar, Mihai 1 Roenby, Johan 1 Siegel, Michael 1 Smith, David J. 1 Wegmann, Rudolf 1 Yick, King Yeung
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#### Serials

 33 Journal of Fluid Mechanics 17 Physics of Fluids 11 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 IMA Journal of Applied Mathematics 6 Computational Methods and Function Theory 5 Journal of Engineering Mathematics 4 European Journal of Applied Mathematics 4 SIAM Journal on Applied Mathematics 4 Journal of Nonlinear Science 3 Nonlinearity 3 Quarterly Journal of Mechanics and Applied Mathematics 3 European Journal of Mechanics. B. Fluids 3 Complex Analysis and Operator Theory 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 Studies in Applied Mathematics 2 Proceedings A. Royal Society of London 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 IMA Journal of Numerical Analysis 1 International Journal of Engineering Science 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. A 1 Fluid Dynamics Research 1 Theoretical and Computational Fluid Dynamics 1 Quarterly of Applied Mathematics 1 Physica D 1 Applied Mathematics Letters 1 Journal of Physics A: Mathematical and General 1 Discrete and Continuous Dynamical Systems 1 The ANZIAM Journal 1 Complex Variables and Elliptic Equations 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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#### Fields

 100 Fluid mechanics (76-XX) 36 Functions of a complex variable (30-XX) 21 Partial differential equations (35-XX) 10 Potential theory (31-XX) 7 Biology and other natural sciences (92-XX) 5 Mechanics of deformable solids (74-XX) 4 Special functions (33-XX) 3 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Algebraic geometry (14-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Numerical analysis (65-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

116 Publications have been cited 937 times in 384 Documents Cited by Year
Conformal mappings between canonical multiply connected domains. Zbl 1101.30010
Crowdy, Darren; Marshall, Jonathan
2006
Analytical formulae for the Kirchhoff-Routh path function in multiply connected domains. Zbl 1186.76630
Crowdy, Darren; Marshall, Jonathan
2005
The Schwarz-Christoffel mapping to bounded multiply connected polygonal domains. Zbl 1186.30005
Crowdy, Darren
2005
Computing the Schottky-Klein prime function on the Schottky double of planar domains. Zbl 1148.30023
Crowdy, Darren G.; Marshall, Jonathan S.
2007
A class of exact multipolar vortices. Zbl 1149.76353
Crowdy, Darren
1999
Exact solutions for rotating vortex arrays with finite-area cores. Zbl 1019.76011
Crowdy, Darren G.
2002
Schwarz - Christoffel mappings to unbounded multiply connected polygonal regions. Zbl 1111.30007
Crowdy, Darren
2007
The motion of a point vortex around multiple circular islands. Zbl 1187.76108
Crowdy, Darren G.; Marshall, Jonathan S.
2005
Stuart vortices on a sphere. Zbl 1059.76012
Crowdy, Darren G.
2004
General solutions to the 2D Liouville equation. Zbl 0904.35015
Crowdy, Darren G.
1997
Constructing multiply connected quadrature domains. Zbl 1064.30017
Crowdy, Darren; Marshall, Jonathan
2004
The motion of a point vortex through gaps in walls. Zbl 1085.76014
Crowdy, Darren; Marshall, Jonathan
2006
Analytical solutions for uniform potential flow past multiple cylinders. Zbl 1210.76027
Crowdy, Darren G.
2006
Geometric function theory: a modern view of a classical subject. Zbl 1163.30012
Crowdy, Darren
2008
Explicit integral solutions for the plane elastostatic semi-strip. Zbl 1067.74022
Crowdy, D. G.; Fokas, A. S.
2004
Slip length for longitudinal shear flow over a dilute periodic mattress of protruding bubbles. Zbl 1308.76137
Crowdy, Darren
2010
The irrotational motion generated by two planar stirrers in inviscid fluid. Zbl 1146.76360
Crowdy, D. G.; Surana, A.; Yick, K-Y.
2007
Green’s function for Laplace’s equation in multiply connected domains. Zbl 1141.35306
Crowdy, Darren; Marshall, Jonathan
2007
Quadrature domains and fluid dynamics. Zbl 1329.76290
Crowdy, Darren
2005
Contour dynamics in complex domains. Zbl 1128.76014
Crowdy, Darren; Surana, Amit
2007
Calculating the lift on a finite stack of cylindrical aerofoils. Zbl 1149.76634
Crowdy, Darren
2006
Analytical solutions for von Kármán streets of hollow vortices. Zbl 1308.76049
Crowdy, Darren G.; Green, Christopher C.
2011
Exact solutions to the unsteady two-phase Hele-Shaw problem. Zbl 1107.76031
Crowdy, Darren G.
2006
A new calculus for two-dimensional vortex dynamics. Zbl 1191.76020
Crowdy, Darren
2010
Conformal slit maps in applied mathematics. Zbl 1267.30017
Crowdy, Darren
2012
Circulation-induced shape deformations of drops and bubbles: Exact two-dimensional models. Zbl 1149.76354
Crowdy, Darren
1999
Analytical formulae for longitudinal slip lengths over unidirectional superhydrophobic surfaces with curved menisci. Zbl 1382.76016
Crowdy, Darren G.
2016
Structure and stability of hollow vortex equilibria. Zbl 1241.76242
Llewellyn Smith, Stefan G.; Crowdy, Darren G.
2012
Analytical solutions for distributed multipolar vortex equilibria on a sphere. Zbl 1185.76097
Crowdy, Darren; Cloke, Martin
2002
The construction of exact multipolar equilibria of the two-dimensional Euler equations. Zbl 1184.76114
Crowdy, Darren
2002
The Schottky-Klein prime function: a theoretical and computational tool for applications. Zbl 1408.30035
Crowdy, D. G.; Kropf, E. H.; Green, C. C.; Nasser, M. M. S.
2016
The Schottky-Klein prime function on the Schottky double of planar domains. Zbl 1217.30005
Crowdy, Darren
2010
The Schwarz problem in multiply connected domains and the Schottky-Klein prime function. Zbl 1133.30302
Crowdy, Darren
2008
Frictional slip lengths for unidirectional superhydrophobic grooved surfaces. Zbl 1308.76099
Crowdy, Darren
2011
Exact solutions for steady capillary waves on a fluid annulus. Zbl 0949.76012
Crowdy, D. G.
1999
Conformal mappings to multiply connected polycircular arc domains. Zbl 1243.30008
Crowdy, Darren G.; Fokas, Athanassios S.; Green, Christopher C.
2011
A transform method for Laplace’s equation in multiply connected circular domains. Zbl 1338.35357
Crowdy, Darren
2015
Wall effects on self-diffusiophoretic Janus particles: a theoretical study. Zbl 1294.76229
Crowdy, Darren G.
2013
Point vortex motion on the surface of a sphere with impenetrable boundaries. Zbl 1185.76474
Crowdy, Darren
2006
Vortex dynamics in complex domains on a spherical surface. Zbl 1142.76043
Surana, Amit; Crowdy, Darren
2008
Drawing of micro-structured fibres: circular and non-circular tubes. Zbl 1330.76043
Stokes, Yvonne M.; Buchak, Peter; Crowdy, Darren G.; Ebendorff-Heidepriem, Heike
2014
Stability analysis of a class of two-dimensional multipolar vortex equilibria. Zbl 1185.76096
Crowdy, Darren; Cloke, Martin
2002
Polygonal N-vortex arrays: A stuart model. Zbl 1186.76116
Crowdy, Darren
2003
Multiple steady bubbles in a Hele-Shaw cell. Zbl 1186.35247
Crowdy, Darren
2009
Multipolar vortices and algebraic curves. Zbl 1058.76019
Crowdy, Darren
2001
Shapes of two-dimensional bubbles deformed by circulation. Zbl 0976.76011
Wegmann, Rudolf; Crowdy, Darren
2000
Hydrodynamic bound states of a low-Reynolds-number swimmer near a gap in a wall. Zbl 1225.76319
Crowdy, Darren; Samson, Ophir
2011
Translating hollow vortex pairs. Zbl 1347.76025
Crowdy, Darren G.; Llewellyn Smith, Stefan G.; Freilich, Daniel V.
2013
Conformal mappings to a doubly connected polycircular arc domain. Zbl 1153.30004
Crowdy, D. G.; Fokas, A. S.
2007
A two-dimensional model of low-Reynolds number swimming beneath a free surface. Zbl 1241.76477
Crowdy, Darren; Lee, Sungyon; Samson, Ophir; Lauga, Eric; Hosoi, A. E.
2011
Growing vortex patches. Zbl 1186.76117
Crowdy, Darren; Marshall, Jonathan
2004
Solving problems in multiply connected domains. Zbl 1451.30001
Crowdy, Darren
2020
Theory of exact solutions for the evolution of a fluid annulus in a rotating Hele-Shaw cell. Zbl 1026.76014
Crowdy, Darren
2002
Elliptical pore regularisation of the inverse problem for microstructured optical fibre fabrication. Zbl 1382.76088
Buchak, Peter; Crowdy, Darren G.; Stokes, Yvonne M.; Ebendorff-Heidepriem, Heike
2015
Explicit solution for the potential flow due to an assembly of stirrers in an inviscid fluid. Zbl 1160.76005
Crowdy, Darren
2008
Exact solutions for cylindrical ’slip-stick’ Janus swimmers in Stokes flow. Zbl 1284.76428
Crowdy, Darren G.
2013
Fourier-Mellin transforms for circular domains. Zbl 1331.44001
Crowdy, Darren
2015
A theory of exact solutions for annular viscous blobs. Zbl 0914.76023
Crowdy, Darren; Tanveer, Saleh
1998
On a class of geometry-driven free boundary problems. Zbl 1056.30039
Crowdy, Darren
2002
A note on the linear stability of Burgers vortex. Zbl 1136.76374
Crowdy, Darren G.
1998
A new approach to free surface Euler flows with capillarity. Zbl 1136.76318
Crowdy, Darren G.
2000
Analytical solutions for rotating vortex arrays involving multiple vortex patches. Zbl 1065.76030
Crowdy, Darren; Marshall, Jonathan
2005
Viscous sintering of unimodal and bimodal cylindrical packings with shrinking pores. Zbl 1081.76058
Crowdy, Darren
2003
Perturbation analysis of subphase gas and meniscus curvature effects for longitudinal flows over superhydrophobic surfaces. Zbl 1383.76126
Crowdy, Darren G.
2017
An assembly of steadily translating bubbles in a Hele-Shaw channel. Zbl 1160.76050
Crowdy, Darren
2009
Steady nonlinear capillary waves on curved sheets. Zbl 1016.76011
Crowdy, Darren
2001
Genus-$$N$$ algebraic reductions of the Benney hierarchy within a Schottky model. Zbl 1092.37046
Crowdy, Darren
2005
The effect of finiteness in the Saffman-Taylor viscous fingering problem. Zbl 1058.76024
Crowdy, Darren; Tanveer, Saleh
2004
Exact solutions for uniform vortex layers attached to corners and wedges. Zbl 1105.76016
Crowdy, Darren
2004
Secondary Schottky-Klein prime functions associated with multiply connected planar domains. Zbl 1371.30012
Vasconcelos, Giovani L.; Marshall, Jonathan S.; Crowdy, Darren G.
2015
Surfactant-induced stagnant zones in the Jeong-Moffatt free surface Stokes flow problem. Zbl 1320.76033
Crowdy, Darren G.
2013
Frictional slip lengths and blockage coefficients. Zbl 1308.76138
Crowdy, Darren
2011
Multiply connected quadrature domains and the Bergman kernel function. Zbl 1186.30006
Crowdy, Darren; Marshall, Jonathan
2009
Hollow vortices, capillary water waves and double quadrature domains. Zbl 1307.76014
Crowdy, Darren G.; Roenby, Johan
2014
Exact solutions for the viscous sintering of multiply-connected fluid domains. Zbl 1019.76017
Crowdy, Darren
2002
Compressible bubbles in Stokes flow. Zbl 1163.76420
Crowdy, Darren G.
2003
Microstructured optical fibre drawing with active channel pressurisation. Zbl 1382.76073
Chen, Michael J.; Stokes, Yvonne M.; Buchak, Peter; Crowdy, Darren G.; Ebendorff-Heidepriem, Heike
2015
On rectangular vortex lattices. Zbl 1257.31009
Crowdy, Darren
2010
Stokes flow singularities in a two-dimensional channel: a novel transform approach with application to microswimming. Zbl 1371.76056
Crowdy, Darren G.; Davis, Anthony M. J.
2013
Solving Wiener-Hopf problems without kernel factorization. Zbl 1371.45002
Crowdy, Darren G.; Luca, Elena
2014
The Benney hierarchy and the Dirichlet boundary problem in two dimensions. Zbl 1194.35477
Crowdy, Darren
2005
Conformal mappings from annuli to canonical doubly connected Bell representations. Zbl 1131.30003
Crowdy, Darren
2008
Matched asymptotics for a treadmilling low-Reynolds-number swimmer near a wall. Zbl 1291.76372
Davis, Anthony M. J.; Crowdy, Darren G.
2013
Uniform flow past a periodic array of cylinders. Zbl 1408.76045
Crowdy, Darren G.
2016
The effect of core size on the speed of compressible hollow vortex streets. Zbl 1419.76545
Crowdy, Darren G.; Krishnamurthy, Vikas S.
2018
Steady point vortex pair in a field of Stuart-type vorticity. Zbl 1419.76105
Krishnamurthy, Vikas S.; Wheeler, Miles H.; Crowdy, Darren G.; Constantin, Adrian
2019
Accessory parameters in conformal mapping: exploiting the isomonodromic tau function for Painlevé VI. Zbl 1404.30006
Anselmo, Tiago; Nelson, Rhodri; Carneiro da Cunha, Bruno; Crowdy, Darren G.
2018
Effective slip lengths for immobilized superhydrophobic surfaces. Zbl 1374.76068
Crowdy, Darren G.
2017
A theory of exact solutions for plane viscous blobs. Zbl 0901.76009
Crowdy, D. G.; Tanveer, S.
1998
Exact solutions for the evolution of a bubble in Stokes flow: A Cauchy transform approach. Zbl 1072.76024
Crowdy, Darren; Siegel, Michael
2005
An elliptical-pore model for late-stage planar viscous sintering. Zbl 1063.76101
Crowdy, Darren G.
2004
Squeeze flow of multiply-connected fluid domains in a Hele-Shaw cell. Zbl 0999.76043
Crowdy, D.; Kang, H.
2001
Explicit solutions for a steady vortex-wave interaction. Zbl 1107.76014
Crowdy, Darren G.
2004
Matched asymptotics for a spherical low-Reynolds-number treadmilling swimmer near a rigid wall. Zbl 1331.76148
Davis, Anthony M. J.; Crowdy, Darren G.
2015
Conformal maps to generalized quadrature domains. Zbl 1188.30052
Crowdy, Darren; Marshall, Jonathan
2008
The spreading phase in Lighthill’s model of the Weis-Fogh lift mechanism. Zbl 1183.76941
Crowdy, Darren
2009
Stresslet asymptotics for a treadmilling swimmer near a two-dimensional corner: hydrodynamic bound states. Zbl 1371.76179
Davis, Anthony M. J.; Crowdy, Darren G.
2012
Surface-tension-driven Stokes flow: a numerical method based on conformal geometry. Zbl 1349.76590
Buchak, Peter; Crowdy, Darren G.
2016
Uniformizing the boundaries of multiply connected quadrature domains using Fuchsian groups. Zbl 1133.30011
Crowdy, Darren G.; Marshall, Jonathan S.
2007
Hybrid basis scheme for computing electrostatic fields exterior to close-to-touching discs. Zbl 1433.78004
Crowdy, D. G.; Tanveer, S.; Delillo, T.
2016
Stuart-type polar vortices on a rotating sphere. Zbl 1454.86007
Constantin, Adrian; Crowdy, Darren G.; Krishnamurthy, Vikas S.; Wheeler, Miles H.
2021
Solving problems in multiply connected domains. Zbl 1451.30001
Crowdy, Darren
2020
Longitudinal thermocapillary flow over a dense bubble mattress. Zbl 1427.76057
Yariv, Ehud; Crowdy, Darren
2020
Steady point vortex pair in a field of Stuart-type vorticity. Zbl 1419.76105
Krishnamurthy, Vikas S.; Wheeler, Miles H.; Crowdy, Darren G.; Constantin, Adrian
2019
Thermocapillary flow between grooved superhydrophobic surfaces: transverse temperature gradients. Zbl 1419.76149
Yariv, Ehud; Crowdy, Darren
2019
The effect of core size on the speed of compressible hollow vortex streets. Zbl 1419.76545
Crowdy, Darren G.; Krishnamurthy, Vikas S.
2018
Accessory parameters in conformal mapping: exploiting the isomonodromic tau function for Painlevé VI. Zbl 1404.30006
Anselmo, Tiago; Nelson, Rhodri; Carneiro da Cunha, Bruno; Crowdy, Darren G.
2018
Fast evaluation of the fundamental singularities of two-dimensional doubly periodic Stokes flow. Zbl 1402.76041
Crowdy, Darren; Luca, Elena
2018
Perturbation analysis of subphase gas and meniscus curvature effects for longitudinal flows over superhydrophobic surfaces. Zbl 1383.76126
Crowdy, Darren G.
2017
Effective slip lengths for immobilized superhydrophobic surfaces. Zbl 1374.76068
Crowdy, Darren G.
2017
Analytical solutions for two-dimensional Stokes flow singularities in a no-slip wedge of arbitrary angle. Zbl 1402.76040
Crowdy, Darren G.; Brzezicki, Samuel J.
2017
Analytical formulae for longitudinal slip lengths over unidirectional superhydrophobic surfaces with curved menisci. Zbl 1382.76016
Crowdy, Darren G.
2016
The Schottky-Klein prime function: a theoretical and computational tool for applications. Zbl 1408.30035
Crowdy, D. G.; Kropf, E. H.; Green, C. C.; Nasser, M. M. S.
2016
Uniform flow past a periodic array of cylinders. Zbl 1408.76045
Crowdy, Darren G.
2016
Surface-tension-driven Stokes flow: a numerical method based on conformal geometry. Zbl 1349.76590
Buchak, Peter; Crowdy, Darren G.
2016
Hybrid basis scheme for computing electrostatic fields exterior to close-to-touching discs. Zbl 1433.78004
Crowdy, D. G.; Tanveer, S.; Delillo, T.
2016
A transform method for Laplace’s equation in multiply connected circular domains. Zbl 1338.35357
Crowdy, Darren
2015
Elliptical pore regularisation of the inverse problem for microstructured optical fibre fabrication. Zbl 1382.76088
Buchak, Peter; Crowdy, Darren G.; Stokes, Yvonne M.; Ebendorff-Heidepriem, Heike
2015
Fourier-Mellin transforms for circular domains. Zbl 1331.44001
Crowdy, Darren
2015
Secondary Schottky-Klein prime functions associated with multiply connected planar domains. Zbl 1371.30012
Vasconcelos, Giovani L.; Marshall, Jonathan S.; Crowdy, Darren G.
2015
Microstructured optical fibre drawing with active channel pressurisation. Zbl 1382.76073
Chen, Michael J.; Stokes, Yvonne M.; Buchak, Peter; Crowdy, Darren G.; Ebendorff-Heidepriem, Heike
2015
Matched asymptotics for a spherical low-Reynolds-number treadmilling swimmer near a rigid wall. Zbl 1331.76148
Davis, Anthony M. J.; Crowdy, Darren G.
2015
Stress fields around two pores in an elastic body: exact quadrature domain solutions. Zbl 1371.74026
Crowdy, Darren
2015
Exact solutions for the static dewetting of two-dimensional charged conducting droplets on a substrate. Zbl 1326.76028
Crowdy, Darren
2015
Drawing of micro-structured fibres: circular and non-circular tubes. Zbl 1330.76043
Stokes, Yvonne M.; Buchak, Peter; Crowdy, Darren G.; Ebendorff-Heidepriem, Heike
2014
Hollow vortices, capillary water waves and double quadrature domains. Zbl 1307.76014
Crowdy, Darren G.; Roenby, Johan
2014
Solving Wiener-Hopf problems without kernel factorization. Zbl 1371.45002
Crowdy, Darren G.; Luca, Elena
2014
Vortex patch equilibria of the Euler equation and random normal matrices. Zbl 1291.76072
Crowdy, Darren G.
2014
Wall effects on self-diffusiophoretic Janus particles: a theoretical study. Zbl 1294.76229
Crowdy, Darren G.
2013
Translating hollow vortex pairs. Zbl 1347.76025
Crowdy, Darren G.; Llewellyn Smith, Stefan G.; Freilich, Daniel V.
2013
Exact solutions for cylindrical ’slip-stick’ Janus swimmers in Stokes flow. Zbl 1284.76428
Crowdy, Darren G.
2013
Surfactant-induced stagnant zones in the Jeong-Moffatt free surface Stokes flow problem. Zbl 1320.76033
Crowdy, Darren G.
2013
Stokes flow singularities in a two-dimensional channel: a novel transform approach with application to microswimming. Zbl 1371.76056
Crowdy, Darren G.; Davis, Anthony M. J.
2013
Matched asymptotics for a treadmilling low-Reynolds-number swimmer near a wall. Zbl 1291.76372
Davis, Anthony M. J.; Crowdy, Darren G.
2013
Conformal slit maps in applied mathematics. Zbl 1267.30017
Crowdy, Darren
2012
Structure and stability of hollow vortex equilibria. Zbl 1241.76242
Llewellyn Smith, Stefan G.; Crowdy, Darren G.
2012
Stresslet asymptotics for a treadmilling swimmer near a two-dimensional corner: hydrodynamic bound states. Zbl 1371.76179
Davis, Anthony M. J.; Crowdy, Darren G.
2012
Analytical solutions for von Kármán streets of hollow vortices. Zbl 1308.76049
Crowdy, Darren G.; Green, Christopher C.
2011
Frictional slip lengths for unidirectional superhydrophobic grooved surfaces. Zbl 1308.76099
Crowdy, Darren
2011
Conformal mappings to multiply connected polycircular arc domains. Zbl 1243.30008
Crowdy, Darren G.; Fokas, Athanassios S.; Green, Christopher C.
2011
Hydrodynamic bound states of a low-Reynolds-number swimmer near a gap in a wall. Zbl 1225.76319
Crowdy, Darren; Samson, Ophir
2011
A two-dimensional model of low-Reynolds number swimming beneath a free surface. Zbl 1241.76477
Crowdy, Darren; Lee, Sungyon; Samson, Ophir; Lauga, Eric; Hosoi, A. E.
2011
Frictional slip lengths and blockage coefficients. Zbl 1308.76138
Crowdy, Darren
2011
Slip length for longitudinal shear flow over a dilute periodic mattress of protruding bubbles. Zbl 1308.76137
Crowdy, Darren
2010
A new calculus for two-dimensional vortex dynamics. Zbl 1191.76020
Crowdy, Darren
2010
The Schottky-Klein prime function on the Schottky double of planar domains. Zbl 1217.30005
Crowdy, Darren
2010
On rectangular vortex lattices. Zbl 1257.31009
Crowdy, Darren
2010
Stokes flows past gaps in a wall. Zbl 1211.76090
Crowdy, Darren; Samson, Ophir
2010
Steady interaction of a vortex street with a shear flow. Zbl 1308.76139
Crowdy, Darren; Nelson, Rhodri
2010
Multiple steady bubbles in a Hele-Shaw cell. Zbl 1186.35247
Crowdy, Darren
2009
An assembly of steadily translating bubbles in a Hele-Shaw channel. Zbl 1160.76050
Crowdy, Darren
2009
Multiply connected quadrature domains and the Bergman kernel function. Zbl 1186.30006
Crowdy, Darren; Marshall, Jonathan
2009
The spreading phase in Lighthill’s model of the Weis-Fogh lift mechanism. Zbl 1183.76941
Crowdy, Darren
2009
Explicit solution of a class of Riemann-Hilbert problems. Zbl 1198.30038
Crowdy, Darren
2009
Geometric function theory: a modern view of a classical subject. Zbl 1163.30012
Crowdy, Darren
2008
The Schwarz problem in multiply connected domains and the Schottky-Klein prime function. Zbl 1133.30302
Crowdy, Darren
2008
Vortex dynamics in complex domains on a spherical surface. Zbl 1142.76043
Surana, Amit; Crowdy, Darren
2008
Explicit solution for the potential flow due to an assembly of stirrers in an inviscid fluid. Zbl 1160.76005
Crowdy, Darren
2008
Conformal mappings from annuli to canonical doubly connected Bell representations. Zbl 1131.30003
Crowdy, Darren
2008
Conformal maps to generalized quadrature domains. Zbl 1188.30052
Crowdy, Darren; Marshall, Jonathan
2008
The dipolar field of rotating bodies in two dimensions. Zbl 1146.76004
Llewellyn Smith, Stefan G.; Michelin, Sébastien; Crowdy, D. G.
2008
Computing the Schottky-Klein prime function on the Schottky double of planar domains. Zbl 1148.30023
Crowdy, Darren G.; Marshall, Jonathan S.
2007
Schwarz - Christoffel mappings to unbounded multiply connected polygonal regions. Zbl 1111.30007
Crowdy, Darren
2007
The irrotational motion generated by two planar stirrers in inviscid fluid. Zbl 1146.76360
Crowdy, D. G.; Surana, A.; Yick, K-Y.
2007
Green’s function for Laplace’s equation in multiply connected domains. Zbl 1141.35306
Crowdy, Darren; Marshall, Jonathan
2007
Contour dynamics in complex domains. Zbl 1128.76014
Crowdy, Darren; Surana, Amit
2007
Conformal mappings to a doubly connected polycircular arc domain. Zbl 1153.30004
Crowdy, D. G.; Fokas, A. S.
2007
Uniformizing the boundaries of multiply connected quadrature domains using Fuchsian groups. Zbl 1133.30011
Crowdy, Darren G.; Marshall, Jonathan S.
2007
Riemann-Hilbert problem for automorphic functions and the Schottky-Klein prime function. Zbl 1132.30021
Antipov, Y. A.; Crowdy, D. G.
2007
Conformal mappings between canonical multiply connected domains. Zbl 1101.30010
Crowdy, Darren; Marshall, Jonathan
2006
The motion of a point vortex through gaps in walls. Zbl 1085.76014
Crowdy, Darren; Marshall, Jonathan
2006
Analytical solutions for uniform potential flow past multiple cylinders. Zbl 1210.76027
Crowdy, Darren G.
2006
Calculating the lift on a finite stack of cylindrical aerofoils. Zbl 1149.76634
Crowdy, Darren
2006
Exact solutions to the unsteady two-phase Hele-Shaw problem. Zbl 1107.76031
Crowdy, Darren G.
2006
Point vortex motion on the surface of a sphere with impenetrable boundaries. Zbl 1185.76474
Crowdy, Darren
2006
Analytical formulae for the Kirchhoff-Routh path function in multiply connected domains. Zbl 1186.76630
Crowdy, Darren; Marshall, Jonathan
2005
The Schwarz-Christoffel mapping to bounded multiply connected polygonal domains. Zbl 1186.30005
Crowdy, Darren
2005
The motion of a point vortex around multiple circular islands. Zbl 1187.76108
Crowdy, Darren G.; Marshall, Jonathan S.
2005
Quadrature domains and fluid dynamics. Zbl 1329.76290
Crowdy, Darren
2005
Analytical solutions for rotating vortex arrays involving multiple vortex patches. Zbl 1065.76030
Crowdy, Darren; Marshall, Jonathan
2005
Genus-$$N$$ algebraic reductions of the Benney hierarchy within a Schottky model. Zbl 1092.37046
Crowdy, Darren
2005
The Benney hierarchy and the Dirichlet boundary problem in two dimensions. Zbl 1194.35477
Crowdy, Darren
2005
Exact solutions for the evolution of a bubble in Stokes flow: A Cauchy transform approach. Zbl 1072.76024
Crowdy, Darren; Siegel, Michael
2005
On a pair of interacting bubbles in planar Stokes flow. Zbl 1082.76029
Crowdy, Darren; Tanveer, Saleh; Vasconcelos, Giovani L.
2005
Stuart vortices on a sphere. Zbl 1059.76012
Crowdy, Darren G.
2004
Constructing multiply connected quadrature domains. Zbl 1064.30017
Crowdy, Darren; Marshall, Jonathan
2004
Explicit integral solutions for the plane elastostatic semi-strip. Zbl 1067.74022
Crowdy, D. G.; Fokas, A. S.
2004
Growing vortex patches. Zbl 1186.76117
Crowdy, Darren; Marshall, Jonathan
2004
The effect of finiteness in the Saffman-Taylor viscous fingering problem. Zbl 1058.76024
Crowdy, Darren; Tanveer, Saleh
2004
Exact solutions for uniform vortex layers attached to corners and wedges. Zbl 1105.76016
Crowdy, Darren
2004
An elliptical-pore model for late-stage planar viscous sintering. Zbl 1063.76101
Crowdy, Darren G.
2004
Explicit solutions for a steady vortex-wave interaction. Zbl 1107.76014
Crowdy, Darren G.
2004
Polygonal N-vortex arrays: A stuart model. Zbl 1186.76116
Crowdy, Darren
2003
Viscous sintering of unimodal and bimodal cylindrical packings with shrinking pores. Zbl 1081.76058
Crowdy, Darren
2003
Compressible bubbles in Stokes flow. Zbl 1163.76420
Crowdy, Darren G.
2003
Exact solutions for rotating vortex arrays with finite-area cores. Zbl 1019.76011
Crowdy, Darren G.
2002
Analytical solutions for distributed multipolar vortex equilibria on a sphere. Zbl 1185.76097
Crowdy, Darren; Cloke, Martin
2002
The construction of exact multipolar equilibria of the two-dimensional Euler equations. Zbl 1184.76114
Crowdy, Darren
2002
Stability analysis of a class of two-dimensional multipolar vortex equilibria. Zbl 1185.76096
Crowdy, Darren; Cloke, Martin
2002
Theory of exact solutions for the evolution of a fluid annulus in a rotating Hele-Shaw cell. Zbl 1026.76014
Crowdy, Darren
2002
...and 16 more Documents
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#### Cited by 477 Authors

 64 Crowdy, Darren Gregory 15 Nasser, Mohamed M. S. 13 McDonald, N. Robb 11 Fokas, Athanassios S. 9 Sakajo, Takashi 8 Murid, Ali Hassan Mohamed 7 DeLillo, Thomas K. 7 Green, Christopher C. 7 Kanso, Eva Adnan 7 Krishnamurthy, Vikas S. 7 Marshall, Jonathan S. 6 Llewellyn Smith, Stefan G. 6 Nelson, Rhodri B. 6 Newton, Paul K. 6 Zannetti, Luca 5 Elcrat, Alan R. 5 Johnson, Edward Robert 5 Sangawi, Ali W. K. 5 Stokes, Yvonne Marie 5 Vanden-Broeck, Jean-Marc 5 Yariv, Ehud 4 Blyth, Mark G. 4 Buchak, Peter 4 Constantin, Adrian 4 Ebendorff-Heidepriem, Heike 4 Hodes, Marc 4 Kirk, Toby L. 4 McNicholl, Timothy H. 4 Papageorgiou, Demetrios T. 4 Protas, Bartosz 4 Vuorinen, Matti Keijo Kustaa 4 Yau, Shing-Tung 3 Alben, Silas D. 3 Alobaidi, Ghada 3 Andreev, Valentin V. 3 Bartsch, Thomas J. 3 Bell, Steven R. 3 Khrystiyanyn, Andriy Yaroslavovych 3 Kim, Sun-Chul 3 Lukivska, Dzvenyslava Volodymyrivna 3 Lustri, Christopher J. 3 Mallier, Roland 3 McCue, Scott William 3 Mityushev, Vladimir V. 3 Pfaltzgraff, John A. 3 Savina, Tatiana V. 3 Surana, Amit 3 Vasconcelos, Giovani L. 3 Wheeler, Miles H. 2 Ageev, A. I. 2 Akinyemi, Lanre 2 Alimov, Mars M. 2 Antipov, Yuri A. 2 Ardekani, Arezoo M. 2 Ayton, Lorna J. 2 Baddoo, Peter Jonathan 2 Belmonte, Andrew 2 Bogatyrev, Andrei Borisovich 2 Chen, Michael J. 2 Cloke, Martin 2 Dallaston, Michael Charles 2 Didenko, Victor D. 2 Driscoll, Tobin A. 2 D’yachenko, Aleksandr Ivanovich 2 Esler, J. G. 2 Forbes, Lawrence K. 2 Gallay, Thierry 2 Gallizio, Federico 2 Gebhard, Björn 2 Griffiths, Ian M. 2 Gu, Xianfeng 2 Gustafsson, Bjorn 2 Hakula, Harri 2 He, Andong 2 Howell, Peter D. 2 Kalimeris, Konstantinos 2 Karamanis, Georgios 2 Kizner, Ziv 2 Koiller, Jair 2 Kropf, Everett H. 2 Lenells, Jonatan 2 Luca, Elena 2 Lui, Lok Ming 2 Luo, Feng 2 Lushnikov, Pavel Mikhaĭlovich 2 Luzzatto-Fegiz, Paolo 2 Maekawa, Yasunori 2 Michelin, Sebastien 2 Nasyrov, S. R. 2 Părău, Emilian I. 2 Riccardi, Giorgio 2 Saridakis, Yiannis G. 2 Shaik, Vaseem A. 2 Siegel, Michael 2 Sifalakis, A. G. 2 Teo, Lee-Peng 2 Traizet, Martin 2 Trefethen, Lloyd Nicholas 2 Tsai, Jonathan 2 Tur, Anatoliĭ Valentinovich ...and 377 more Authors
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#### Cited in 89 Serials

 87 Journal of Fluid Mechanics 36 Physics of Fluids 30 Computational Methods and Function Theory 13 Journal of Engineering Mathematics 13 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 11 European Journal of Mechanics. B. Fluids 10 Journal of Computational and Applied Mathematics 9 SIAM Journal on Applied Mathematics 7 Journal of Mathematical Analysis and Applications 7 Physica D 7 Journal of Nonlinear Science 6 Journal of Computational Physics 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Communications in Mathematical Physics 5 Theoretical and Computational Fluid Dynamics 5 Complex Variables and Elliptic Equations 4 Applied Mathematics and Computation 4 Regular and Chaotic Dynamics 3 Fluid Dynamics 3 Journal of Mathematical Physics 3 Journal of Statistical Physics 3 Journal of Differential Equations 3 Journal of Scientific Computing 3 Japan Journal of Industrial and Applied Mathematics 3 The ANZIAM Journal 3 Complex Analysis and Operator Theory 2 Acta Mechanica 2 Physics Letters. A 2 Physics Letters. B 2 Theoretical and Mathematical Physics 2 Ukrainian Mathematical Journal 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Quarterly of Applied Mathematics 2 Studies in Applied Mathematics 2 Applied Mathematics Letters 2 European Journal of Applied Mathematics 2 SIAM Journal on Scientific Computing 2 Advances in Computational Mathematics 2 Mathematics and Mechanics of Solids 2 Journal of Mathematical Fluid Mechanics 2 Journal of High Energy Physics 2 Lobachevskii Journal of Mathematics 2 Journal of Nonlinear Mathematical Physics 2 Journal of Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Physics A: Mathematical and Theoretical 2 International Journal of Differential Equations 2 Analysis and Mathematical Physics 2 Quantum Studies: Mathematics and Foundations 1 Applicable Analysis 1 Computers and Fluids 1 Communications on Pure and Applied Mathematics 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Journal of the American Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Applied Mathematics. Series B (English Edition) 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Theory of Computing Systems 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Algebras and Representation Theory 1 Chaos 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Mathematical Modelling and Analysis 1 Journal of Evolution Equations 1 Milan Journal of Mathematics 1 Acta Mechanica Sinica 1 Mathematics in Computer Science 1 Mathematical Modelling of Natural Phenomena 1 Journal of Geometric Mechanics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Carpathian Mathematical Publications 1 Problemy Analiza. Issues of Analysis 1 East Asian Journal on Applied Mathematics
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#### Cited in 36 Fields

 253 Fluid mechanics (76-XX) 96 Functions of a complex variable (30-XX) 70 Partial differential equations (35-XX) 41 Numerical analysis (65-XX) 20 Mechanics of deformable solids (74-XX) 19 Dynamical systems and ergodic theory (37-XX) 17 Potential theory (31-XX) 13 Mechanics of particles and systems (70-XX) 13 Geophysics (86-XX) 11 Biology and other natural sciences (92-XX) 9 Differential geometry (53-XX) 7 Integral equations (45-XX) 5 Ordinary differential equations (34-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Relativity and gravitational theory (83-XX) 4 Algebraic geometry (14-XX) 4 Special functions (33-XX) 4 Operator theory (47-XX) 4 Quantum theory (81-XX) 3 Convex and discrete geometry (52-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX)