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Prof David W Hughes

Professor of Applied Mathematics
Applied Mathematics

Contact details

Room: 8.16
Tel: +44 (0)113 3435105
Email: D.W.Hughes @ leeds.ac.uk

Current postgraduate students

Jordan Bowker (2012)
Thomas Goodfellow (2014)
Joshua Kirk (2014)

Publications

Guervilly C, Hughes DW, Jones CA Large-scale-vortex dynamos in planar rotating convection Journal of Fluid Mechanics, 815, 333-360, 2017
DOI:10.1017/jfm.2017.56
View abstract

Hughes DW, Cattaneo F Strong-field dynamo action in rapidly rotating convection with no inertia Physical Review E, 93, 2016
DOI:10.1103/PhysRevE.93.061101
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Kondić T, Hughes DW, Tobias SM THE DECAY of A WEAK LARGE-SCALE MAGNETIC FIELD in TWO-DIMENSIONAL TURBULENCE Astrophysical Journal, 823, 2016
DOI:10.3847/0004-637X/823/2/111
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Mak J, Griffiths SD, Hughes DW Shear flow instabilities in shallow-water magnetohydrodynamics Journal of Fluid Mechanics, 788, 767-796, 2016
DOI:10.1017/jfm.2015.718
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Guervilly C, Hughes DW, Jones CA Generation of magnetic fields by large-scale vortices in rotating convection Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 91, 2015
DOI:10.1103/PhysRevE.91.041001
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Hughes DW, Vladimirov VA, Proctor MRE Vortex Dynamics of Oscillating Flows Arnold Mathematical Journal, 1, 113-126, 2015
DOI:10.1007/s40598-015-0010-x
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Bowker JA, Hughes DW, Kersalé E Incorporating velocity shear into the magneto-Boussinesq approximation Geophysical and Astrophysical Fluid Dynamics, 108, 553-567, 2014
DOI:10.1080/03091929.2014.917296
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Guervilly C, Hughes DW, Jones CA Large-scale vortices in rapidly rotating Rayleigh-Bénard convection Journal of Fluid Mechanics, 758, 407-435, 2014
DOI:10.1017/jfm.2014.542
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Mizerski KA, Davies CR, Hughes DW Short-wavelength magnetic buoyancy instability Astrophysical Journal, Supplement Series, 205, 2013
DOI:10.1088/0067-0049/205/2/16
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Hughes DW, Proctor MRE The effect of velocity shear on dynamo action due to rotating convection Journal of Fluid Mechanics, 717, 395-416, 2013
DOI:10.1017/jfm.2012.584
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Mizerski KA, Davies CR, Hughes DW The short-wavelength instability of magnetically buoyant layer Journal of Physics: Conference Series, 318, 2011
DOI:10.1088/1742-6596/318/7/072033
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Hood AW, Hughes DW Solar magnetic fields PHYS EARTH PLANET IN, 187, 78-91, 2011
DOI:10.1016/j.pepi.2011.04.010

Hughes DW, Proctor MRE, Cattaneo F The alpha-effect in rotating convection: a comparison of numerical simulations MON NOT R ASTRON SOC, 414, L45-L49, 2011
DOI:10.1111/j.1745-3933.2011.01053.x

Hughes DW, Proctor MRE, Cattaneo F Theα-effect in rotating convection: A comparison of numerical simulations Monthly Notices of the Royal Astronomical Society: Letters, 414, 2011
DOI:10.1111/j.1745-3933.2011.01053.x
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Davies CR, Hughes DW Erratum: The mean electromotive force resulting from magnetic buoyancy instability (Astrophysical Journal (2011) 727 (112)) Astrophysical Journal, 730, 2011
DOI:10.1088/0004-637X/730/1/60

Davies CR, Hughes DW THE MEAN ELECTROMOTIVE FORCE RESULTING FROM MAGNETIC BUOYANCY INSTABILITY ASTROPHYS J, 730, 2011
DOI:10.1088/0004-637X/727/2/112

Davies CR, Hughes DW THE MEAN ELECTROMOTIVE FORCE RESULTING FROM MAGNETIC BUOYANCY INSTABILITY ASTROPHYS J, 727, 2011
DOI:10.1088/0004-637X/727/2/112

Mizerski KA; Davies CR; Hughes DW The short-wavelength instability of magnetically buoyant layer13TH EUROPEAN TURBULENCE CONFERENCE (ETC13): GEOPHYSICAL AND MAGNETOHYDRODYNAMIC TURBULENCE, ARTN 072033 2011
DOI:10.1088/1742-6596/318/7/072033

Courvoisier A, Hughes DW, Proctor MRE A self-consistent treatment of the electromotive force in magnetohydrodynamics for large diffusivities ASTRON NACHR, 331, 667-670, 2010
DOI:10.1002/asna.201011358

Proctor MRE, Hughes DW Competing kinematic dynamo mechanisms in rotating convection with shear Proceedings of the International Astronomical Union, 6, 239-246, 2010
DOI:10.1017/S1743921311017662
View abstract

Livermore PW, Hughes DW, Tobias SM Nonlinear generation of large-scale magnetic fields in forced spherical shell dynamos PHYS FLUIDS, 22, 2010
DOI:10.1063/1.3313930

Courvoisier A, Hughes DW, Proctor MRE Self-consistent mean-field magnetohydrodynamics P R SOC A, 466, 583-601, 2010
DOI:10.1098/rspa.2009.0384

Hughes DW, Proctor MRE Turbulent Magnetic Diffusivity Tensor for Time-Dependent Mean Fields PHYS REV LETT, 104, 2010
DOI:10.1103/PhysRevLett.104.024503

Hughes DW Large- and Small-Scale Dynamo ActionNUMERICAL MODELING OF SPACE PLASMA FLOWS ASTRONUM-2009, 79-84 2010

Mizerski KA, Hughes DW Compressible Ekman-Hartmann boundary layers GEOPHYS ASTRO FLUID, 104, 403-418, 2010
DOI:10.1080/03091921003698983

Courvoisier A, Hughes DW, Tobias SM Mean induction and diffusion: the influence of spatial coherence J FLUID MECH, 627, 403-421, 2009
DOI:10.1017/S0022112009005783

Hughes DW, Proctor MRE Dynamo action in the presence of an imposed magnetic field P R SOC A, 465, 1599-1616, 2009
DOI:10.1098/rspa.2008.0493

Cattaneo F, Hughes DW Problems with kinematic mean field electrodynamics at high magnetic Reynolds numbers MON NOT R ASTRON SOC, 395, L48-L51, 2009
DOI:10.1111/j.1745-3933.2009.00639.x

Hughes DW, Proctor MRE Large-Scale Dynamo Action Driven by Velocity Shear and Rotating Convection PHYS REV LETT, 102, 2009
DOI:10.1103/PhysRevLett.102.044501

Hughes DW The mean electromotive force at high magnetic Reynolds numbersPLASMA PHYSICS AND CONTROLLED FUSION, 124021 2008
DOI:10.1088/0741-3335/50/12/124021

Mason J, Hughes DW, Tobias SM The effects of flux transport on interface dynamos MON NOT R ASTRON SOC, 391, 467-480, 2008
DOI:10.1111/j.1365-2966.2008.13918.x

Hughes DW, Cattaneo F The alpha-effect in rotating convection: size matters J FLUID MECH, 594, 445-461, 2008
DOI:10.1017/S0022112007009214

Tobias SM, Diamond PH, Hughes DW beta-plane magnetohydrodynamic turbulence in the solar tachocline ASTROPHYS J, 667, L113-L116, 2007

Tobias SM, Diamond PH, Hughes DW β-plane magnetohydrodynamic turbulence in the solar tachocline Astrophysical Journal, 667, 2007
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Kersalé E, Hughes DW, Tobias SM The Nonlinear Evolution of Instabilities Driven by Magnetic Buoyancy: A New Mechanism for the Formation of Coherent Magnetic Structures The Astrophysical Journal, 663, L113-L116, 2007
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Livermore PW, Hughes DW, Tobias SM The role of helicity and stretching in forced kinematic dynamos in a spherical shell PHYS FLUIDS, 19, 2007
DOI:10.1063/1.2717947

Hughes DW; Rosner R; Weiss NO The Solar Tachocline. Cambridge University Press 2007
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Hughes DW Magnetic buoyancy instabilities in the tachocline In The Solar Tachocline, 275-298, 2007
DOI:10.1017/CBO9780511536243.012
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Hughes DW; Rosner R; Weiss NO Preface. 9780521861014, Cambridge University Press 2007
DOI:10.1017/CBO9780511536243.001
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Hughes DW; Rosner R; Weiss NO Preface. 2007
DOI:10.1017/CBO9780511536243.001
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Livermore PW, Hughes DW, Tobias SM The role of kinetic helicity in spherical shell dynamos European Space Agency, (Special Publication) ESA SP, 2006
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Cattaneo F, Hughes DW Dynamo action in a rotating convective layer J FLUID MECH, 553, 401-418, 2006
DOI:10.1017/S0022112006009165

Kersalé E, Hughes DW, Ogilvie GI, Tobias SM Global Magnetorotational Instability with Inflow. II. The Nonlinear Development of Axisymmetric Wall Modes The Astrophysical Journal, 638, 382-390, 2006
DOI:10.1086/498704
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Courvoisier A, Hughes DW, Tobias SM α effect in a family of chaotic flows Physical Review Letters, 96, 2006
DOI:10.1103/PhysRevLett.96.034503
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Tobias S, Hughes D, Weiss N Unpredictable Sun leaves researchers in the dark Nature, 442, 26-26, 2006
DOI:10.1038/442026c

Hughes D, Rosner R, Weiss N Magnetohydrodynamics of stellar interiors Astronomy and Geophysics, 46, 2005
DOI:10.1111/j.1468-4004.2005.46435.x

Tobias SM, Hughes DW The Influence of Velocity Shear on Magnetic Buoyancy Instability in the Solar Tachocline The Astrophysical Journal, 603, 785-802, 2004
DOI:10.1086/381492

Kersale E, Hughes DW, Ogilvie GI, Tobias SM, Weiss NO Global magnetorotational instability with inflow. I. Linear theory and the role of boundary conditions ASTROPHYS J, 602, 892-903, 2004

Diamond PH, Hughes DW, Kim E Self-consistent mean field electrodynamics in two and three dimensions In Astrophysical and Geophysical Fluid Dynamics, and Dynamos, 2004

Soward AM; Jones CA; Hughes DW; Weiss NO Fluid Dynamics and Dynamos in Astrophysics and Geophysics. Taylor and Francis 2004

Hughes DW, Kim E, Soward AM A nonlinear dynamo driven by rapidly rotating convection Geophysical and Astrophysical Fluid Dynamics, 2004

Tanner SEM, Hughes DW Fast dynamo action in a family of parameterized flows None, 586, 685-691, 2003

Mason J, Hughes DW, Tobias SM The competition in the solar dynamo between surface and deep-seated alpha-effects The Astrophysical Journal, 580, L89-L92, 2002
DOI:10.1086/345419

Cattaneo F, Hughes DW, Thelen J The nonlinear properties of a large-scale dynamo driven by helical forcing Journal of Fluid Mechanics, 456, 219-237, 2002
DOI:10.1017/S0022112001007479

Cattaneo F; Hughes DW; Thelen JC On the nonlinear nature of the turbulent alpha-effectHIGHLIGHTS OF ASTRONOMY, VOL 12, 733-735 2002

Hughes DW, Tobias SM On the instability of magnetohydrodynamic shear flows P ROY SOC LOND A MAT, 457, 1365-1384, 2001

Cattaneo F, Hughes DW Solar dynamo theory: a new look at the origin of small-scale magnetic fields ASTRON GEOPHYS, 42, 18-22, 2001

Cattaneo F, Hughes DW Solar dynamo theory: A new look at the origin of small-scale magnetic fields Astronomy and Geophysics, 42, 318-325, 2001
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Hughes DW; Cattaneo F; Thelen JC Large- and small-scale dynamo actionNATO SCI SER II MATH, 199-206 2001
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Hughes DW Magnetic Buoyancy None, 2000

Hughes DW, Matthews PC, Proctor MRE, Wissink JG The three dimensional breakup of a magnetic layer Monthly Notices of the Royal Astronomical Society., 318, 501-510, 2000

Hughes DW, Matthews PC, Proctor MRE, Wissink JG Numerical simulation of buoyant magnetic flux tubes None, 2000

Kim EJ, Hughes DW, Soward AM An Investigation into High Conductivity Dynamo Action Driven by Rotating Convection Geophysical and Astrophysical Fluid Dynamics, 91, 303-332, 1999
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Hughes DW, Falle S The Rise of Twisted Magnetic Flux Tubes: a High Reynolds Number Adaptive Grid Calculation The Astrophysical Journal, 509, L57-L60, 1998
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Hughes DW, Cattaneo F, Kim EJ Nonlinear multi-cellular fast dynamos Studia Geophysica et Geodaetica, 42, 328-334, 1998
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Kim EJ, Hughes DW, Soward AM On a physically realistic fast dynamo Studia Geophysica et Geodaetica, 42, 335-342, 1998
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Tanner SEM, Hughes DW Generalisation of a nonlinear dynamo model Studia Geophysica et Geodaetica, 42, 343-349, 1998
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Hughes DW, Falle SAEG, Joarder P The rise of twisted magnetic flux tubes Monthly Notices of the Royal Astronomical Society, 298, 433-444, 1998
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Kim EJ, Hughes DW Flow helicity in a simplified statistical model of a fast dynamo Physics Letters, Section A: General, Atomic and Solid State Physics, 236, 211-218, 1997
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Hughes DW, Cattaneo F, Kim EJ Kinetic helicity, magnetic helicity and fast dynamo action Physics Letters, Section A: General, Atomic and Solid State Physics, 224, 167-172, 1997
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Hughes DW, Cattaneo F, Kim EJ Kinetic Helicity, Magnetic Helicity and Fast Dynamo Action Physics Letters. Section A: General, Atomic and Solid State Physics, 223, 167-172, 1996
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Cattaneo F, Hughes DW Nonlinear Saturation of the Turbulent Alpha Effect Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), 54, 4532-4535, 1996
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Cattaneo F, Hughes DW, Kim EJ Suppression of chaos in a simplified nonlinear dynamo model Physical Review Letters, 76, 2057-2060, 1996
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Matthews PC, Hughes DW, Proctor MRE Magnetic buoyancy, vorticity, and three-dimensional flux-tube formation Astrophysical Journal, 448, 938-941, 1995
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Hughes DW, Weiss NO Double-Diffusive Convection with Two Stabilizing Gradients: Strange Consequences of Magnetic Buoyancy Journal of Fluid Mechanics, 301, 383-406, 1995
DOI:10.1017/S0022112095003946
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Hughes DW, Proctor MRE Non-symmetrical three-wave resonance Wave Motion, 20, 201-209, 1994
DOI:10.1016/0165-2125(94)90047-7
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Hughes DW, Proctor MRE Nonlinear three-wave interaction with non-conservative coupling Journal of Fluid Mechanics, 244, 583-604, 1992
DOI:10.1017/S0022112092003203
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Hughes DW, Proctor MRE A low-order model of the shear instability of convection: Chaos and the effect of noise Nonlinearity, 3, 127-153, 1990
DOI:10.1088/0951-7715/3/1/008
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Hughes DW, Proctor MRE Chaos and the effect of noise in a model of three-wave mode coupling Physica D: Nonlinear Phenomena, 46, 163-176, 1990
DOI:10.1016/0167-2789(90)90034-M
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Cattaneo F, Chiuell T, Hughes DW Buoyancy-driven instabilities and the nonlinear breakup of a sheared magnetic layer Journal of Fluid Mechanics, 219, 1-23, 1990
DOI:10.1017/S0022112090002841
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Cattaneo F, Hughes DW The nonlinear breakup of a magnetic layer: instability to interchange modes Journal of Fluid Mechanics, 196, 323-323, 1988
DOI:10.1017/S0022112088002721

Hughes DW, Proctor MRE Magnetic Fields in the Solar Convection Zone: Magnetoconvection and Magnetic Buoyancy Annual Review of Fluid Mechanics, 20, 187-223, 1988
DOI:10.1146/annurev.fl.20.010188.001155

Cattaneo F, Hughes DW, Proctor MRE Mean advection effects in turbulence Geophysical& Astrophysical Fluid Dynamics, 41, 335-342, 1988
DOI:10.1080/03091928808208855
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Hughes DW Finite-amplitude solutions for interchange instabilities driven by magnetic buoyancy Geophysical& Astrophysical Fluid Dynamics, 37, 297-343, 1987
DOI:10.1080/03091928708210101
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Hughes DW, Cattaneo F A new look at the instability of a stratified horizontal magnetic field Geophysical& Astrophysical Fluid Dynamics, 39, 65-81, 1987
DOI:10.1080/03091928708208806
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Hughes DW Magnetic Buoyancy Instabilities for a Static Plane Layer Geophysical& Astrophysical Fluid Dynamics, 32, 273-316, 1985
DOI:10.1080/03091928508208787
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Hughes DW Magnetic Buoyancy Instabilities Incorporating Rotation Geophysical& Astrophysical Fluid Dynamics, 34, 99-142, 1985
DOI:10.1080/03091928508245440
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