×

Crowdy, Darren Gregory

Author ID: crowdy.darren-g Recent zbMATH articles by "Crowdy, Darren Gregory"
Published as: Crowdy, Darren; Crowdy, Darren G.; Crowdy, D. G.; Crowdy, D.
Homepage: http://wwwf.imperial.ac.uk/~dgcrowdy/
External Links: MGP
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

Publications by Year

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 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