Edit Profile (opens in new tab) Crowdy, Darren Gregory Co-Author Distance Author ID: crowdy.darren-g Published as: Crowdy, Darren; Crowdy, Darren G.; Crowdy, D. G.; Crowdy, D. more...less Homepage: http://wwwf.imperial.ac.uk/~dgcrowdy/ External Links: MGP Documents Indexed: 152 Publications since 1997, including 1 Book 2 Contributions as Editor · 1 Further Contribution Co-Authors: 58 Co-Authors with 84 Joint Publications 1,077 Co-Co-Authors all top 5 Co-Authors 69 single-authored 14 Marshall, Jonathan S. 7 Krishnamurthy, Vikas S. 7 Nelson, Rhodri B. 5 Buchak, Peter 5 Tanveer, Saleh 4 Constantin, Adrian 4 Davis, Anthony M. J. 4 Luca, Elena 4 Miyoshi, Hiroyuki 4 Wheeler, Miles H. 3 Anselmo, Tiago 3 Da Cunha, Bruno Carneiro 3 Ebendorff-Heidepriem, Heike 3 Fokas, Athanassios S. 3 Green, Christopher C. 3 Llewellyn Smith, Stefan G. 3 Rodriguez-Broadbent, Henry 3 Samson, Ophir 3 Stokes, Yvonne Marie 3 Surana, Amit 2 Baddoo, Peter Jonathan 2 Cloke, Martin 2 Curran, Anna E. 2 Vasconcelos, Giovani L. 2 Yariv, Ehud 1 Antipov, Yuri A. 1 Bobenko, Alexander Ivanovich 1 Brzezicki, Samuel J. 1 Champneys, Alan R. 1 Chen, Michael J. 1 Deconinck, Bernard 1 DeLillo, Thomas K. 1 Duchemin, Laurent 1 Frauendiener, Jörg 1 Freilich, Daniel V. 1 Hauge, Jordan C. 1 Hidalgo, Rubén Antonio 1 Hodes, Marc 1 Hosoi, A. E. 1 Ishimoto, Kenta 1 Karamanis, Georgios 1 Keeler, Jack S. 1 Kirk, Toby L. 1 Klein, Christian 1 Kokotov, Aleksey 1 Kropf, Everett H. 1 Lauga, Eric 1 Lee, Sungyon 1 Marshall, J. D. 1 Mayer, Michael D. 1 Mercat, Christian 1 Michelin, Sebastien 1 Mineev-Weinstein, Mark 1 Moore, Nicholas J. 1 Nasser, Mohamed M. S. 1 Nejad, Salman Abarghouei 1 Oza, Anand U. 1 Papageorgiou, Demetrios T. 1 Papageorgiou, Demetrius 1 Patterson, Matthew S. 1 Pedley, Timothy J. 1 Putinar, Mihai 1 Roenby, Johan 1 Schmies, Markus 1 Seppälä, Mika 1 Siegel, Michael 1 Smith, David J. 1 Wegmann, Rudolf 1 Yick, King Yeung all top 5 Serials 39 Journal of Fluid Mechanics 17 Physics of Fluids 11 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 10 IMA Journal of Applied Mathematics 7 Journal of Engineering Mathematics 7 Computational Methods and Function Theory 6 SIAM Journal on Applied Mathematics 4 Quarterly Journal of Mechanics and Applied Mathematics 4 European Journal of Applied Mathematics 4 Journal of Nonlinear Science 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Nonlinearity 3 European Journal of Mechanics. B. Fluids 3 Complex Analysis and Operator Theory 3 Journal of Physics A: Mathematical and Theoretical 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 Studies in Applied Mathematics 2 Proceedings A. Royal Society of London 1 Communications on Pure and Applied Mathematics 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 Lecture Notes in Mathematics 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica all top 5 Fields 111 Fluid mechanics (76-XX) 42 Functions of a complex variable (30-XX) 25 Partial differential equations (35-XX) 12 Potential theory (31-XX) 9 Biology and other natural sciences (92-XX) 5 Mechanics of deformable solids (74-XX) 4 Algebraic geometry (14-XX) 4 Special functions (33-XX) 3 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Ordinary differential equations (34-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 Integral equations (45-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 135 Publications have been cited 1,282 times in 518 Documents Cited by ▼ Year ▼ Conformal mappings between canonical multiply connected domains. Zbl 1101.30010 Crowdy, Darren; Marshall, Jonathan 58 2006 Analytical formulae for the Kirchhoff-Routh path function in multiply connected domains. Zbl 1186.76630 Crowdy, Darren; Marshall, Jonathan 52 2005 The Schwarz-Christoffel mapping to bounded multiply connected polygonal domains. Zbl 1186.30005 Crowdy, Darren 43 2005 Computing the Schottky-Klein prime function on the Schottky double of planar domains. Zbl 1148.30023 Crowdy, Darren G.; Marshall, Jonathan S. 34 2007 Solving problems in multiply connected domains. Zbl 1451.30001 Crowdy, Darren 33 2020 A class of exact multipolar vortices. Zbl 1149.76353 Crowdy, Darren 31 1999 Schwarz - Christoffel mappings to unbounded multiply connected polygonal regions. Zbl 1111.30007 Crowdy, Darren 29 2007 Stuart vortices on a sphere. Zbl 1059.76012 Crowdy, Darren G. 29 2004 Exact solutions for rotating vortex arrays with finite-area cores. Zbl 1019.76011 Crowdy, Darren G. 28 2002 General solutions to the 2D Liouville equation. Zbl 0904.35015 Crowdy, Darren G. 24 1997 Computational approach to Riemann surfaces. Zbl 1207.14002 23 2011 Analytical solutions for uniform potential flow past multiple cylinders. Zbl 1210.76027 Crowdy, Darren G. 23 2006 The motion of a point vortex around multiple circular islands. Zbl 1187.76108 Crowdy, Darren G.; Marshall, Jonathan S. 21 2005 Geometric function theory: a modern view of a classical subject. Zbl 1163.30012 Crowdy, Darren 20 2008 Constructing multiply connected quadrature domains. Zbl 1064.30017 Crowdy, Darren; Marshall, Jonathan 20 2004 Slip length for longitudinal shear flow over a dilute periodic mattress of protruding bubbles. Zbl 1308.76137 Crowdy, Darren 20 2010 Analytical solutions for von Kármán streets of hollow vortices. Zbl 1308.76049 Crowdy, Darren G.; Green, Christopher C. 20 2011 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. 19 2016 Calculating the lift on a finite stack of cylindrical aerofoils. Zbl 1149.76634 Crowdy, Darren 18 2006 Analytical solutions for distributed multipolar vortex equilibria on a sphere. Zbl 1185.76097 Crowdy, Darren; Cloke, Martin 18 2002 The motion of a point vortex through gaps in walls. Zbl 1085.76014 Crowdy, Darren; Marshall, Jonathan 18 2006 Green’s function for Laplace’s equation in multiply connected domains. Zbl 1141.35306 Crowdy, Darren; Marshall, Jonathan 17 2007 Quadrature domains and fluid dynamics. Zbl 1329.76290 Crowdy, Darren 17 2005 Explicit integral solutions for the plane elastostatic semi-strip. Zbl 1067.74022 Crowdy, D. G.; Fokas, A. S. 17 2004 The irrotational motion generated by two planar stirrers in inviscid fluid. Zbl 1146.76360 Crowdy, D. G.; Surana, A.; Yick, K-Y. 17 2007 A new calculus for two-dimensional vortex dynamics. Zbl 1191.76020 Crowdy, Darren 17 2010 The construction of exact multipolar equilibria of the two-dimensional Euler equations. Zbl 1184.76114 Crowdy, Darren 16 2002 Analytical formulae for longitudinal slip lengths over unidirectional superhydrophobic surfaces with curved menisci. Zbl 1382.76016 Crowdy, Darren G. 16 2016 Contour dynamics in complex domains. Zbl 1128.76014 Crowdy, Darren; Surana, Amit 15 2007 The Schwarz problem in multiply connected domains and the Schottky-Klein prime function. Zbl 1133.30302 Crowdy, Darren 15 2008 Circulation-induced shape deformations of drops and bubbles: Exact two-dimensional models. Zbl 1149.76354 Crowdy, Darren 14 1999 Conformal slit maps in applied mathematics. Zbl 1267.30017 Crowdy, Darren 14 2012 Point vortex motion on the surface of a sphere with impenetrable boundaries. Zbl 1185.76474 Crowdy, Darren 13 2006 The Schottky-Klein prime function on the Schottky double of planar domains. Zbl 1217.30005 Crowdy, Darren 13 2010 Exact solutions for steady capillary waves on a fluid annulus. Zbl 0949.76012 Crowdy, D. G. 13 1999 Exact solutions to the unsteady two-phase Hele-Shaw problem. Zbl 1107.76031 Crowdy, Darren G. 13 2006 Conformal mappings to multiply connected polycircular arc domains. Zbl 1243.30008 Crowdy, Darren G.; Fokas, Athanassios S.; Green, Christopher C. 12 2011 Wall effects on self-diffusiophoretic Janus particles: a theoretical study. Zbl 1294.76229 Crowdy, Darren G. 12 2013 Perturbation analysis of subphase gas and meniscus curvature effects for longitudinal flows over superhydrophobic surfaces. Zbl 1383.76126 Crowdy, Darren G. 12 2017 A transform method for Laplace’s equation in multiply connected circular domains. Zbl 1338.35357 Crowdy, Darren 12 2015 Frictional slip lengths for unidirectional superhydrophobic grooved surfaces. Zbl 1308.76099 Crowdy, Darren 12 2011 Growing vortex patches. Zbl 1186.76117 Crowdy, Darren; Marshall, Jonathan 11 2004 Stability analysis of a class of two-dimensional multipolar vortex equilibria. Zbl 1185.76096 Crowdy, Darren; Cloke, Martin 11 2002 Structure and stability of hollow vortex equilibria. Zbl 1241.76242 Llewellyn Smith, Stefan G.; Crowdy, Darren G. 11 2012 Conformal mappings to a doubly connected polycircular arc domain. Zbl 1153.30004 Crowdy, D. G.; Fokas, A. S. 10 2007 Multiple steady bubbles in a Hele-Shaw cell. Zbl 1186.35247 Crowdy, Darren 10 2009 Shapes of two-dimensional bubbles deformed by circulation. Zbl 0976.76011 Wegmann, Rudolf; Crowdy, Darren 10 2000 Polygonal N-vortex arrays: A stuart model. Zbl 1186.76116 Crowdy, Darren 10 2003 Translating hollow vortex pairs. Zbl 1347.76025 Crowdy, Darren G.; Llewellyn Smith, Stefan G.; Freilich, Daniel V. 10 2013 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. 9 2011 Drawing of micro-structured fibres: circular and non-circular tubes. Zbl 1330.76043 Stokes, Yvonne M.; Buchak, Peter; Crowdy, Darren G.; Ebendorff-Heidepriem, Heike 9 2014 Vortex dynamics in complex domains on a spherical surface. Zbl 1142.76043 Surana, Amit; Crowdy, Darren 9 2008 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. 9 2018 Multipolar vortices and algebraic curves. Zbl 1058.76019 Crowdy, Darren 8 2001 Solving Wiener-Hopf problems without kernel factorization. Zbl 1371.45002 Crowdy, Darren G.; Luca, Elena 8 2014 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 8 2015 Hollow vortices, capillary water waves and double quadrature domains. Zbl 1307.76014 Crowdy, Darren G.; Roenby, Johan 8 2014 A new approach to free surface Euler flows with capillarity. Zbl 1136.76318 Crowdy, Darren G. 8 2000 Stuart-type polar vortices on a rotating sphere. Zbl 1454.86007 Constantin, Adrian; Crowdy, Darren G.; Krishnamurthy, Vikas S.; Wheeler, Miles H. 8 2021 Hydrodynamic bound states of a low-Reynolds-number swimmer near a gap in a wall. Zbl 1225.76319 Crowdy, Darren; Samson, Ophir 7 2011 Analytical solutions for rotating vortex arrays involving multiple vortex patches. Zbl 1065.76030 Crowdy, Darren; Marshall, Jonathan 7 2005 Fourier-Mellin transforms for circular domains. Zbl 1331.44001 Crowdy, Darren 7 2015 Frictional slip lengths and blockage coefficients. Zbl 1308.76138 Crowdy, Darren 7 2011 Theory of exact solutions for the evolution of a fluid annulus in a rotating Hele-Shaw cell. Zbl 1026.76014 Crowdy, Darren 7 2002 Surfactant-induced stagnant zones in the Jeong-Moffatt free surface Stokes flow problem. Zbl 1320.76033 Crowdy, Darren G. 7 2013 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 7 2019 On a class of geometry-driven free boundary problems. Zbl 1056.30039 Crowdy, Darren 6 2002 Viscous sintering of unimodal and bimodal cylindrical packings with shrinking pores. Zbl 1081.76058 Crowdy, Darren 6 2003 Explicit solution for the potential flow due to an assembly of stirrers in an inviscid fluid. Zbl 1160.76005 Crowdy, Darren 6 2008 The effect of finiteness in the Saffman-Taylor viscous fingering problem. Zbl 1058.76024 Crowdy, Darren; Tanveer, Saleh 6 2004 A transform method for the biharmonic equation in multiply connected circular domains. Zbl 1481.35339 Luca, Elena; Crowdy, Darren G. 6 2018 Exact solutions for cylindrical ’slip-stick’ Janus swimmers in Stokes flow. Zbl 1284.76428 Crowdy, Darren G. 6 2013 The effect of core size on the speed of compressible hollow vortex streets. Zbl 1419.76545 Crowdy, Darren G.; Krishnamurthy, Vikas S. 6 2018 A theory of exact solutions for annular viscous blobs. Zbl 0914.76023 Crowdy, Darren; Tanveer, Saleh 5 1998 On rectangular vortex lattices. Zbl 1257.31009 Crowdy, Darren 5 2010 An assembly of steadily translating bubbles in a Hele-Shaw channel. Zbl 1160.76050 Crowdy, Darren 5 2009 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. 5 2013 Secondary Schottky-Klein prime functions associated with multiply connected planar domains. Zbl 1371.30012 Vasconcelos, Giovani L.; Marshall, Jonathan S.; Crowdy, Darren G. 5 2015 Effective slip lengths for immobilized superhydrophobic surfaces. Zbl 1374.76068 Crowdy, Darren G. 5 2017 Steady nonlinear capillary waves on curved sheets. Zbl 1016.76011 Crowdy, Darren 5 2001 A note on the linear stability of Burgers vortex. Zbl 1136.76374 Crowdy, Darren G. 5 1998 A transformation between stationary point vortex equilibria. Zbl 1473.76013 Krishnamurthy, Vikas S.; Wheeler, Miles H.; Crowdy, Darren G.; Constantin, Adrian 5 2020 Slip length formulas for longitudinal shear flow over a superhydrophobic grating with partially filled cavities. Zbl 1500.76019 Crowdy, Darren G. 5 2021 Explicit solution of a class of Riemann-Hilbert problems. Zbl 1198.30038 Crowdy, Darren 4 2009 Exact solutions for uniform vortex layers attached to corners and wedges. Zbl 1105.76016 Crowdy, Darren 4 2004 Multiply connected quadrature domains and the Bergman kernel function. Zbl 1186.30006 Crowdy, Darren; Marshall, Jonathan 4 2009 Compressible bubbles in Stokes flow. Zbl 1163.76420 Crowdy, Darren G. 4 2003 Genus-\(N\) algebraic reductions of the Benney hierarchy within a Schottky model. Zbl 1092.37046 Crowdy, Darren 4 2005 Surface-tension-driven Stokes flow: a numerical method based on conformal geometry. Zbl 1349.76590 Buchak, Peter; Crowdy, Darren G. 4 2016 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 4 2015 Longitudinal thermocapillary flow over a dense bubble mattress. Zbl 1427.76057 Yariv, Ehud; Crowdy, Darren 4 2020 Thermocapillary stress and meniscus curvature effects on slip lengths in ridged microchannels. Zbl 1460.76269 Kirk, Toby L.; Karamanis, Georgios; Crowdy, Darren G.; Hodes, Marc 4 2020 Uniform flow past a periodic array of cylinders. Zbl 1408.76045 Crowdy, Darren G. 4 2016 Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation. Zbl 1469.76027 Krishnamurthy, Vikas S.; Wheeler, Miles H.; Crowdy, Darren G.; Constantin, Adrian 4 2021 A theory of exact solutions for plane viscous blobs. Zbl 0901.76009 Crowdy, D. G.; Tanveer, S. 3 1998 The spreading phase in Lighthill’s model of the Weis-Fogh lift mechanism. Zbl 1183.76941 Crowdy, Darren 3 2009 Squeeze flow of multiply-connected fluid domains in a Hele-Shaw cell. Zbl 0999.76043 Crowdy, D.; Kang, H. 3 2001 Exact solutions for the viscous sintering of multiply-connected fluid domains. Zbl 1019.76017 Crowdy, Darren 3 2002 Conformal mappings from annuli to canonical doubly connected Bell representations. Zbl 1131.30003 Crowdy, Darren 3 2008 Matched asymptotics for a treadmilling low-Reynolds-number swimmer near a wall. Zbl 1291.76372 Davis, Anthony M. J.; Crowdy, Darren G. 3 2013 Superhydrophobic surface immobilisation by insoluble surfactant. Zbl 07647825 Mayer, Michael D.; Crowdy, Darren G. 3 2022 Equilibrium tilt of slippery elliptical rods in creeping simple shear. Zbl 1477.76100 Crowdy, Darren G. 1 2022 Longitudinal flow in superhydrophobic channels with partially invaded grooves. Zbl 1507.76021 Miyoshi, Hiroyuki; Rodriguez-Broadbent, Henry; Curran, Anna; Crowdy, Darren 1 2022 Stuart-type polar vortices on a rotating sphere. Zbl 1454.86007 Constantin, Adrian; Crowdy, Darren G.; Krishnamurthy, Vikas S.; Wheeler, Miles H. 8 2021 Slip length formulas for longitudinal shear flow over a superhydrophobic grating with partially filled cavities. Zbl 1500.76019 Crowdy, Darren G. 5 2021 Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation. Zbl 1469.76027 Krishnamurthy, Vikas S.; Wheeler, Miles H.; Crowdy, Darren G.; Constantin, Adrian 4 2021 Viscous Marangoni flow driven by insoluble surfactant and the complex Burgers equation. Zbl 1482.30102 Crowdy, Darren G. 2 2021 Exact solutions for the formation of stagnant caps of insoluble surfactant on a planar free surface. Zbl 1480.76042 Crowdy, Darren G. 2 2021 Superhydrophobic annular pipes: a theoretical study. Zbl 1461.76140 Crowdy, Darren G. 2 2021 ‘H-states’: exact solutions for a rotating hollow vortex. Zbl 1461.76084 Crowdy, D. G.; Nelson, R. B.; Krishnamurthy, V. S. 2 2021 The corotating hollow vortex pair: steady merger and break-up via a topological singularity. Zbl 1461.76358 Nelson, R. B.; Krishnamurthy, V. S.; Crowdy, D. G. 1 2021 Solving problems in multiply connected domains. Zbl 1451.30001 Crowdy, Darren 33 2020 A transformation between stationary point vortex equilibria. Zbl 1473.76013 Krishnamurthy, Vikas S.; Wheeler, Miles H.; Crowdy, Darren G.; Constantin, Adrian 5 2020 Longitudinal thermocapillary flow over a dense bubble mattress. Zbl 1427.76057 Yariv, Ehud; Crowdy, Darren 4 2020 Thermocapillary stress and meniscus curvature effects on slip lengths in ridged microchannels. Zbl 1460.76269 Kirk, Toby L.; Karamanis, Georgios; Crowdy, Darren G.; Hodes, Marc 4 2020 Schwarz-Christoffel accessory parameter for quadrilaterals via isomonodromy. Zbl 1519.30001 Anselmo, Tiago; da Cunha, Bruno Carneiro; Nelson, Rhodri; Crowdy, Darren G. 2 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 7 2019 Periodic Schwarz-Christoffel mappings with multiple boundaries per period. Zbl 1472.30006 Baddoo, Peter J.; Crowdy, Darren G. 3 2019 Thermocapillary flow between grooved superhydrophobic surfaces: transverse temperature gradients. Zbl 1419.76149 Yariv, Ehud; Crowdy, Darren 3 2019 Analytical solutions for two-dimensional singly periodic Stokes flow singularity arrays near walls. Zbl 1453.76040 Crowdy, Darren; Luca, Elena 2 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. 9 2018 A transform method for the biharmonic equation in multiply connected circular domains. Zbl 1481.35339 Luca, Elena; Crowdy, Darren G. 6 2018 The effect of core size on the speed of compressible hollow vortex streets. Zbl 1419.76545 Crowdy, Darren G.; Krishnamurthy, Vikas S. 6 2018 Fast evaluation of the fundamental singularities of two-dimensional doubly periodic Stokes flow. Zbl 1402.76041 Crowdy, Darren; Luca, Elena 1 2018 Perturbation analysis of subphase gas and meniscus curvature effects for longitudinal flows over superhydrophobic surfaces. Zbl 1383.76126 Crowdy, Darren G. 12 2017 Effective slip lengths for immobilized superhydrophobic surfaces. Zbl 1374.76068 Crowdy, Darren G. 5 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. 3 2017 Dynamics of a treadmilling microswimmer near a no-slip wall in simple shear. Zbl 1383.76579 Ishimoto, Kenta; Crowdy, Darren G. 2 2017 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. 19 2016 Analytical formulae for longitudinal slip lengths over unidirectional superhydrophobic surfaces with curved menisci. Zbl 1382.76016 Crowdy, Darren G. 16 2016 Surface-tension-driven Stokes flow: a numerical method based on conformal geometry. Zbl 1349.76590 Buchak, Peter; Crowdy, Darren G. 4 2016 Uniform flow past a periodic array of cylinders. Zbl 1408.76045 Crowdy, Darren G. 4 2016 Hybrid basis scheme for computing electrostatic fields exterior to close-to-touching discs. Zbl 1433.78004 Crowdy, D. G.; Tanveer, S.; Delillo, T. 2 2016 A transform method for Laplace’s equation in multiply connected circular domains. Zbl 1338.35357 Crowdy, Darren 12 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 8 2015 Fourier-Mellin transforms for circular domains. Zbl 1331.44001 Crowdy, Darren 7 2015 Secondary Schottky-Klein prime functions associated with multiply connected planar domains. Zbl 1371.30012 Vasconcelos, Giovani L.; Marshall, Jonathan S.; Crowdy, Darren G. 5 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 4 2015 Exact solutions for the static dewetting of two-dimensional charged conducting droplets on a substrate. Zbl 1326.76028 Crowdy, Darren 3 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. 2 2015 Stress fields around two pores in an elastic body: exact quadrature domain solutions. Zbl 1371.74026 Crowdy, Darren 1 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 9 2014 Solving Wiener-Hopf problems without kernel factorization. Zbl 1371.45002 Crowdy, Darren G.; Luca, Elena 8 2014 Hollow vortices, capillary water waves and double quadrature domains. Zbl 1307.76014 Crowdy, Darren G.; Roenby, Johan 8 2014 Vortex patch equilibria of the Euler equation and random normal matrices. Zbl 1291.76072 Crowdy, Darren G. 1 2014 Wall effects on self-diffusiophoretic Janus particles: a theoretical study. Zbl 1294.76229 Crowdy, Darren G. 12 2013 Translating hollow vortex pairs. Zbl 1347.76025 Crowdy, Darren G.; Llewellyn Smith, Stefan G.; Freilich, Daniel V. 10 2013 Surfactant-induced stagnant zones in the Jeong-Moffatt free surface Stokes flow problem. Zbl 1320.76033 Crowdy, Darren G. 7 2013 Exact solutions for cylindrical ’slip-stick’ Janus swimmers in Stokes flow. Zbl 1284.76428 Crowdy, Darren G. 6 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. 5 2013 Matched asymptotics for a treadmilling low-Reynolds-number swimmer near a wall. Zbl 1291.76372 Davis, Anthony M. J.; Crowdy, Darren G. 3 2013 Conformal slit maps in applied mathematics. Zbl 1267.30017 Crowdy, Darren 14 2012 Structure and stability of hollow vortex equilibria. Zbl 1241.76242 Llewellyn Smith, Stefan G.; Crowdy, Darren G. 11 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. 2 2012 Computational approach to Riemann surfaces. Zbl 1207.14002 23 2011 Analytical solutions for von Kármán streets of hollow vortices. Zbl 1308.76049 Crowdy, Darren G.; Green, Christopher C. 20 2011 Conformal mappings to multiply connected polycircular arc domains. Zbl 1243.30008 Crowdy, Darren G.; Fokas, Athanassios S.; Green, Christopher C. 12 2011 Frictional slip lengths for unidirectional superhydrophobic grooved surfaces. Zbl 1308.76099 Crowdy, Darren 12 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. 9 2011 Hydrodynamic bound states of a low-Reynolds-number swimmer near a gap in a wall. Zbl 1225.76319 Crowdy, Darren; Samson, Ophir 7 2011 Frictional slip lengths and blockage coefficients. Zbl 1308.76138 Crowdy, Darren 7 2011 Slip length for longitudinal shear flow over a dilute periodic mattress of protruding bubbles. Zbl 1308.76137 Crowdy, Darren 20 2010 A new calculus for two-dimensional vortex dynamics. Zbl 1191.76020 Crowdy, Darren 17 2010 The Schottky-Klein prime function on the Schottky double of planar domains. Zbl 1217.30005 Crowdy, Darren 13 2010 On rectangular vortex lattices. Zbl 1257.31009 Crowdy, Darren 5 2010 Steady interaction of a vortex street with a shear flow. Zbl 1308.76139 Crowdy, Darren; Nelson, Rhodri 3 2010 Stokes flows past gaps in a wall. Zbl 1211.76090 Crowdy, Darren; Samson, Ophir 2 2010 Multiple steady bubbles in a Hele-Shaw cell. Zbl 1186.35247 Crowdy, Darren 10 2009 An assembly of steadily translating bubbles in a Hele-Shaw channel. Zbl 1160.76050 Crowdy, Darren 5 2009 Explicit solution of a class of Riemann-Hilbert problems. Zbl 1198.30038 Crowdy, Darren 4 2009 Multiply connected quadrature domains and the Bergman kernel function. Zbl 1186.30006 Crowdy, Darren; Marshall, Jonathan 4 2009 The spreading phase in Lighthill’s model of the Weis-Fogh lift mechanism. Zbl 1183.76941 Crowdy, Darren 3 2009 Geometric function theory: a modern view of a classical subject. Zbl 1163.30012 Crowdy, Darren 20 2008 The Schwarz problem in multiply connected domains and the Schottky-Klein prime function. Zbl 1133.30302 Crowdy, Darren 15 2008 Vortex dynamics in complex domains on a spherical surface. Zbl 1142.76043 Surana, Amit; Crowdy, Darren 9 2008 Explicit solution for the potential flow due to an assembly of stirrers in an inviscid fluid. Zbl 1160.76005 Crowdy, Darren 6 2008 Conformal mappings from annuli to canonical doubly connected Bell representations. Zbl 1131.30003 Crowdy, Darren 3 2008 Conformal maps to generalized quadrature domains. Zbl 1188.30052 Crowdy, Darren; Marshall, Jonathan 2 2008 The dipolar field of rotating bodies in two dimensions. Zbl 1146.76004 Llewellyn Smith, Stefan G.; Michelin, Sébastien; Crowdy, D. G. 2 2008 Computing the Schottky-Klein prime function on the Schottky double of planar domains. Zbl 1148.30023 Crowdy, Darren G.; Marshall, Jonathan S. 34 2007 Schwarz - Christoffel mappings to unbounded multiply connected polygonal regions. Zbl 1111.30007 Crowdy, Darren 29 2007 Green’s function for Laplace’s equation in multiply connected domains. Zbl 1141.35306 Crowdy, Darren; Marshall, Jonathan 17 2007 The irrotational motion generated by two planar stirrers in inviscid fluid. Zbl 1146.76360 Crowdy, D. G.; Surana, A.; Yick, K-Y. 17 2007 Contour dynamics in complex domains. Zbl 1128.76014 Crowdy, Darren; Surana, Amit 15 2007 Conformal mappings to a doubly connected polycircular arc domain. Zbl 1153.30004 Crowdy, D. G.; Fokas, A. S. 10 2007 Uniformizing the boundaries of multiply connected quadrature domains using Fuchsian groups. Zbl 1133.30011 Crowdy, Darren G.; Marshall, Jonathan S. 2 2007 Riemann-Hilbert problem for automorphic functions and the Schottky-Klein prime function. Zbl 1132.30021 Antipov, Y. A.; Crowdy, D. G. 1 2007 Conformal mappings between canonical multiply connected domains. Zbl 1101.30010 Crowdy, Darren; Marshall, Jonathan 58 2006 Analytical solutions for uniform potential flow past multiple cylinders. Zbl 1210.76027 Crowdy, Darren G. 23 2006 Calculating the lift on a finite stack of cylindrical aerofoils. Zbl 1149.76634 Crowdy, Darren 18 2006 The motion of a point vortex through gaps in walls. Zbl 1085.76014 Crowdy, Darren; Marshall, Jonathan 18 2006 Point vortex motion on the surface of a sphere with impenetrable boundaries. Zbl 1185.76474 Crowdy, Darren 13 2006 Exact solutions to the unsteady two-phase Hele-Shaw problem. Zbl 1107.76031 Crowdy, Darren G. 13 2006 Analytical formulae for the Kirchhoff-Routh path function in multiply connected domains. Zbl 1186.76630 Crowdy, Darren; Marshall, Jonathan 52 2005 The Schwarz-Christoffel mapping to bounded multiply connected polygonal domains. Zbl 1186.30005 Crowdy, Darren 43 2005 The motion of a point vortex around multiple circular islands. Zbl 1187.76108 Crowdy, Darren G.; Marshall, Jonathan S. 21 2005 Quadrature domains and fluid dynamics. Zbl 1329.76290 Crowdy, Darren 17 2005 Analytical solutions for rotating vortex arrays involving multiple vortex patches. Zbl 1065.76030 Crowdy, Darren; Marshall, Jonathan 7 2005 Genus-\(N\) algebraic reductions of the Benney hierarchy within a Schottky model. Zbl 1092.37046 Crowdy, Darren 4 2005 The Benney hierarchy and the Dirichlet boundary problem in two dimensions. Zbl 1194.35477 Crowdy, Darren 3 2005 ...and 35 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 644 Authors 81 Crowdy, Darren Gregory 18 Nasser, Mohamed M. S. 15 McDonald, N. Robb 14 Sakajo, Takashi 12 Fokas, Athanassios S. 12 Krishnamurthy, Vikas S. 9 DeLillo, Thomas K. 9 Nelson, Rhodri B. 8 Green, Christopher C. 8 Marshall, Jonathan S. 8 Vuorinen, Matti Keijo Kustaa 8 Yariv, Ehud 7 Constantin, Adrian 7 Kanso, Eva Adnan 7 Llewellyn Smith, Stefan G. 7 Murid, Ali Hassan Mohamed 6 Blyth, Mark G. 6 Newton, Paul K. 6 Papageorgiou, Demetrios T. 6 Stokes, Yvonne Marie 6 Vanden-Broeck, Jean-Marc 6 Wheeler, Miles H. 6 Zannetti, Luca 5 Baddoo, Peter Jonathan 5 Elcrat, Alan R. 5 Hodes, Marc 5 Johnson, Edward Robert 5 Kirk, Toby L. 5 McNicholl, Timothy H. 5 Sangawi, Ali W. K. 4 Andreev, Valentin V. 4 Buchak, Peter 4 Da Cunha, Bruno Carneiro 4 Ebendorff-Heidepriem, Heike 4 Hakula, Harri 4 Kim, Sun-Chul 4 Lui, Lok Ming 4 McCue, Scott William 4 Protas, Bartosz 4 Vasconcelos, Giovani L. 4 Yau, Shing-Tung 3 Alben, Silas D. 3 Alimov, Mars M. 3 Alobaidi, Ghada 3 Anselmo, Tiago 3 Ayton, Lorna J. 3 Bartsch, Thomas J. 3 Bell, Steven R. 3 Choi, Gary Pui-Tung 3 Colbrook, Matthew J. 3 Dallaston, Michael Charles 3 D’yachenko, Aleksandr Ivanovich 3 Dyachenko, Sergey A. 3 Gustafsson, Bjorn 3 Haziot, Susanna V. 3 Khrystiyanyn, Andriy Yaroslavovych 3 Lukivska, Dzvenyslava Volodymyrivna 3 Lustri, Christopher J. 3 Luzzatto-Fegiz, Paolo 3 Mallier, Roland 3 Mityushev, Vladimir V. 3 Miyoshi, Hiroyuki 3 Nasyrov, Semen R. 3 Părău, Emilian I. 3 Pfaltzgraff, John A. 3 Riccardi, Giorgio 3 Savina, Tatiana V. 3 Siegel, Michael 3 Surana, Amit 3 Trefethen, Lloyd Nicholas 3 Tsai, Jonathan 3 Wylie, Jonathan J. 3 Zakharov, Vladimir Evgen’evich 2 Ageev, A. I. 2 Akinyemi, Lanre 2 Ambrose, David M. 2 Antipov, Yuri A. 2 Ardekani, Arezoo M. 2 Belmonte, Andrew 2 Bogatyrev, Andrei Borisovich 2 Byun, Sung-Soo 2 Chen, Michael J. 2 Cloke, Martin 2 Curran, Anna E. 2 Didenko, Victor D. 2 Dragnev, Peter D. 2 Driscoll, Tobin A. 2 Esler, J. G. 2 Forbes, Lawrence K. 2 Gallay, Thierry 2 Gallizio, Federico 2 Gebhard, Björn 2 Gibou, Frédéric 2 Griffiths, Ian M. 2 Gu, Xianfeng 2 Gu, Xianfeng David 2 Hardt, Steffen 2 He, Andong 2 He, Dongdong 2 Howell, Peter D. ...and 544 more Authors all top 5 Cited in 115 Serials 122 Journal of Fluid Mechanics 36 Physics of Fluids 33 Computational Methods and Function Theory 16 Journal of Engineering Mathematics 13 Physica D 13 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 13 European Journal of Mechanics. B. Fluids 12 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 11 Journal of Computational and Applied Mathematics 11 SIAM Journal on Applied Mathematics 9 Journal of Physics A: Mathematical and Theoretical 8 Journal of Computational Physics 8 Journal of Nonlinear Science 7 Communications in Mathematical Physics 7 Journal of Mathematical Analysis and Applications 7 Regular and Chaotic Dynamics 6 Journal of Differential Equations 5 Journal of Mathematical Physics 5 Theoretical and Computational Fluid Dynamics 5 Advances in Computational Mathematics 5 Journal of High Energy Physics 5 Complex Variables and Elliptic Equations 4 Fluid Dynamics 4 Applied Mathematics and Computation 4 Studies in Applied Mathematics 4 SIAM Journal on Scientific Computing 4 The ANZIAM Journal 4 Communications on Pure and Applied Analysis 3 Journal of Statistical Physics 3 Mathematische Annalen 3 Journal of Scientific Computing 3 European Journal of Applied Mathematics 3 Japan Journal of Industrial and Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Journal of Nonlinear Mathematical Physics 3 Complex Analysis and Operator Theory 3 Analysis and Mathematical Physics 2 Acta Mechanica 2 Communications on Pure and Applied Mathematics 2 Mathematical Notes 2 Physics Letters. A 2 Physics Letters. B 2 Theoretical and Mathematical Physics 2 Ukrainian Mathematical Journal 2 Mathematics of Computation 2 Monatshefte für Mathematik 2 Quarterly of Applied Mathematics 2 Constructive Approximation 2 Applied Mathematics Letters 2 Computational Mathematics and Mathematical Physics 2 ETNA. Electronic Transactions on Numerical Analysis 2 Mathematics and Mechanics of Solids 2 Journal of Mathematical Fluid Mechanics 2 Lobachevskii Journal of Mathematics 2 Journal of Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 International Journal of Differential Equations 2 Quantum Studies: Mathematics and Foundations 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal d’Analyse Mathématique 1 Nonlinearity 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 SIAM Journal on Numerical Analysis 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Doklady Mathematics 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 Interfaces and Free Boundaries 1 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 1 Journal of Evolution Equations 1 Milan Journal of Mathematics ...and 15 more Serials all top 5 Cited in 39 Fields 333 Fluid mechanics (76-XX) 122 Functions of a complex variable (30-XX) 103 Partial differential equations (35-XX) 55 Numerical analysis (65-XX) 29 Potential theory (31-XX) 27 Mechanics of deformable solids (74-XX) 23 Dynamical systems and ergodic theory (37-XX) 21 Geophysics (86-XX) 17 Biology and other natural sciences (92-XX) 14 Mechanics of particles and systems (70-XX) 12 Differential geometry (53-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Quantum theory (81-XX) 9 Ordinary differential equations (34-XX) 8 Algebraic geometry (14-XX) 7 Special functions (33-XX) 7 Integral equations (45-XX) 6 Operator theory (47-XX) 6 Computer science (68-XX) 6 Relativity and gravitational theory (83-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Convex and discrete geometry (52-XX) 4 Probability theory and stochastic processes (60-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Nonassociative rings and algebras (17-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Number theory (11-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year