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Prof Andrew Gilbert

Publications

Copyright Notice: Any articles made available for download are for personal use only. Any other use requires prior permission of the author and the copyright holder.

Copyright Notice: Any articles made available for download are for personal use only. Any other use requires prior permission of the author and the copyright holder.

| 2022 | 2021 | 2020 | 2018 | 2017 | 2016 | 2015 | 2014 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000 | 1999 | 1998 | 1997 | 1995 | 1994 | 1993 | 1992 | 1991 | 1990 | 1988 |

2022

  • Wang C, Gilbert A, Mason J. (2022) Critical-layer instability of shallow water magnetohydrodynamic shear flows. [PDF]

2021

2020

2018

2017

2016

2015

2014

2012

2011

  • Gilbert A, Klapper I, Thiffeault JL, Wang J. (2011) Preface, Physica D: Nonlinear Phenomena, volume 240, no. 20, pages 1565-1566, DOI:10.1016/j.physd.2011.08.002.
  • Gilbert AD, Ogrin FY, Petrov PG, Winlove CP. (2011) Motion and mixing for multiple ferromagnetic microswimmers, European Physical Journal E, volume 34, article no. 121.
  • Gilbert AD, Pauls W. (2011) Complex manifolds for the Euler equations: a hierarchy of ODEs and the case of vanishing angle in two dimensions, Fluid Dyn Res, volume 43, article no. 025505.
  • Gilbert AD, Ogrin FY, Petrov PG, Winlove CP. (2011) Theory of ferromagnetic microswimmers, The Quarterly Journal of Mechanics and Applied Mathematics, volume 64, no. 3, pages 239-263.

2010

2009

2008

  • Turner MR, Gilbert AD, Bassom AP. (2008) Neutral modes of a two-dimensional vortex and their link to persistent cat's eyes, Phys. Fluids, volume 20, no. 2. [PDF]
  • Turner MR, Gilbert AD. (2008) Thresholds for the formation of satellites in two-dimensional vortices, J. Fluid Mech, volume 614, pages 381-405, DOI:10.1017/S0022112008003558. [PDF]
  • Peyrot M, Gilbert A, Plunian F. (2008) Oscillating Ponomarenko dynamo in the highly conducting limit, Phys Plasma, volume 15, article no. 122104.
  • Turner MR, Gilbert AD, Thuburn J. (2008) Effective diffusion of scalar fields in a chaotic flow, Phys. Fluids, volume 20, no. 10, pages 107103-1107103. [PDF]

2007

2006

  • Zhang P, Gilbert AD, Zhang K. (2006) Nonlinear dynamo action in rotating convection and shear, J. Fluid Mech, volume 546, pages 25-49.
  • Gilbert AD. (2006) Advected fields in maps: III. Passive scalar decay in baker's maps, Dynamical Systems: An International Journal, volume 21, no. 1, pages 25-71, DOI:10.1080/14689360500288813.
  • Zhang P, Gilbert AD. (2006) Nonlinear dynamo action in hydrodynamic instabilities driven by shear, Geophys. Astrophys. Fluid Dynam.

2005

2004

2003

  • Gilbert AD. (2003) Chapter 9 Dynamo Theory, volume 2, pages 355-441, DOI:10.1016/S1874-5792(03)80011-3.
  • Hall IM, Bassom AP, Gilbert AD. (2003) The effect of viscosity on the stability of planar vortices with fine structure, Quart. Jl. Mechanics and Applied Mathematics, volume 56, pages 649-657.
  • Gilbert AD. (2003) Dynamo Theory, Handbook of Mathematical Fluid Dynamics, Elsevier Science BV, 355-441.
  • Gilbert AD, Ponty Y, Soward AM. (2003) The onset of thermal convection in Ekman--Couette shear flow with oblique rotation, Journal of Fluid Mechanics, volume 487, pages 91-123, DOI:10.1017/S0022112003004622.
  • Bajer K, Bassom AP, Gilbert AD. (2003) Mixing and diffusion in planar vortices, "Tubes, Sheets and Singularities in Fluid Dynamics (ed. K. Bajer, H.K. Moffatt), Zakopane, Poland", pages 31-36.
  • Hall IM, Bassom AP, Gilbert AD. (2003) The effect of fine structure on the stability of planar vortices, European Journal of Mechanics/B Fluids, volume 22, pages 179-198.

2002

  • Gilbert AD. (2002) Magnetic helicity in fast dynamos, Geophysical and Astrophysical Fluid Dynamics, volume 96, no. 2, pages 135-151, DOI:10.1080/03091920290027952.
  • Bajer K, Bassom AP, Gilbert AD. (2002) Concentrated vortex in a Poiseuille flow, Advances in Turbulence IX CIMNE, pages 483-486.
  • Macaskill C, Bassom AP, Gilbert AD. (2002) Nonlinear wind-up in a strained planar vortex, European J of Mechanics B/Fluids, volume 21, pages 293-306.
  • Gilbert AD. (2002) Advected fields in maps - I. Magnetic flux growth in the stretch-fold-shear map, Physica D: Nonlinear Phenomena, volume 166, no. 3-4, pages 167-196, DOI:10.1016/S0167-2789(02)00444-X.

2001

  • Ponty Y, Gilbert AD, Soward AM. (2001) Kinematic dynamo action in large magnetic Reynolds number flows driven by shear and convection, J FLUID MECH, volume 435, pages 261-287, DOI:10.1017/S0022112001003755.
  • Bajer K, Bassom AP, Gilbert AD. (2001) Accelerated diffusion in the centre of a vortex, Journal of Fluid Mechanics, volume 437, pages 395-411, DOI:10.1017/S0022112001004232.
  • Ponty Y, Gilbert AD, Soward AM. (2001) Dynamo action due to Ekman layer instability, "Dynamo and Dynamics, a Mathematical Challenge, NATO Science Series II: Mathematics, Physics and Chemistry. Kluwer Academic Publishers", volume 26, pages 75-82.
  • Childress S, Kerswell RR, Gilbert AD. (2001) Bounds on dissipation for Navier-Stokes flow with Kolmogorov forcing, Physica D, volume 158, pages 105-128.

2000

  • Bassom AP, Gilbert AD. (2000) The relaxation of vorticity fluctuations in locally elliptical streamlines, Proc. Roy. Soc. A, volume 456, pages 295-314.
  • Bajer K, Bassom AP, Gilbert AD. (2000) Decay of perturbations near the centre of a strong vortex, "Advances in Turbulence VIII, Barcelona, Spain, 2000", pages 729-732.
  • Gilbert AD, Ponty Y. (2000) Dynamos on stream surfaces of a highly conducting fluid, Geophysical and Astrophysical Fluid Dynamics, volume 93, no. 1-2, pages 55-95, DOI:10.1080/03091920008203722.

1999

  • Bassom AP, Gilbert AD. (1999) The spiral wind-up and dissipation of vorticity and a passive scalar in a strained planar vortex, J. Fluid Mech, volume 398, pages 245-270.
  • Maksymczuk J, Gilbert AD. (1999) Fast dynamo equilibration in a simplified nonlinear model, "Stellar Dynamos: Nonlinearity and Chaotic Flows (ed. M Nunez, A. Ferriz-Mas), Medina del Campo, Spain, 1998", pages 97-106.

1998

  • Maksymczuk J, Gilbert AD. (1998) Remarks on the equilibration of high conductivity dynamos, Geophys. Astrophys. Fluid Dyn, volume 90, pages 127-137.
  • Bassom AP, Gilbert AD. (1998) The spiral wind-up of vorticity in an inviscid planar vortex, J. Fluid Mech, volume 371, pages 109-140.

1997

  • Gilbert AD, Soward AM, Childress S. (1997) A fast dynamo of αω-type, Geophysical and Astrophysical Fluid Dynamics, volume 85, no. 3-4, pages 279-314, DOI:10.1080/03091929708208992.
  • Gilbert AD, Soward AM, Childress S. (1997) A fast dynamo of alpha omega-type, GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, volume 85, no. 3-4, pages 279-314, DOI:10.1080/03091929708208992. [PDF]
  • Bassom AP, Gilbert AD. (1997) Nonlinear equilibration of a dynamo in a smooth helical flow, J. Fluid Mech, volume 343, pages 375-406.

1995

  • Childress S, Gilbert AD. (1995) Stretch, twist, fold: the fast dynamo, Springer Verlag.

1994

  • Proctor MRE, Gilbert AD. (1994) Lectures on Solar and Planetary Dynamos, Cambridge University Press.

1993

  • Aurell E, Gilbert AD. (1993) Fast dynamos and determinants of singular integral operators, Geophys. Astrophys. Fluid Dynam, volume 73, pages 5-32.
  • GILBERT AD. (1993) TOWARDS A REALISTIC FAST DYNAMO - MODELS BASED ON CAT MAPS AND PSEUDO-ANOSOV MAPS, PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, volume 443, no. 1919, pages 585-606, DOI:10.1098/rspa.1993.0164. [PDF]
  • Gilbert AD. (1993) A cascade interpretation of Lundgren’s stretched spiral vortex model for turbulent fine structure,, Phys. Fluids A, volume 5, pages 2831-2834.
  • Friedlander S, Gilbert AD, Vishik MM. (1993) Hydrodynamic instability for certain ABC flows, Geophys. Astrophys. Fluid Dynam, volume 73, pages 97-107.
  • Gilbert AD, Froeschle C, Frisch U. (1993) Wavelet analysis of the standard map: structure and scaling, Celestial Mechanics & Dynamical Astronomy, volume 56, pages 263-272.

1992

  • Gilbert AD, Bayly BJ. (1992) Magnetic field intermittency and fast dynamo action in random helical flows, J. Fluid Mech, volume 241, pages 199-214.
  • Gilbert AD. (1992) Magnetic field evolution in steady chaotic flows, Phil. Trans. R. Soc. Lond. A, volume 339, pages 627-656.

1991

  • Gilbert AD. (1991) Fast dynamo action in a steady chaotic flow, Nature, volume 350, pages 483-485.
  • Gilbert AD, Galanti B, Sulem PL. (1991) Inverse cascades and time-dependent dynamos in MHD flows,, Physica D, volume 47, pages 416-426.

1990

1988

  • Gilbert AD. (1988) Fast dynamo action in the Ponomarenko dynamo, Geophys. Astrophys. Fluid Dynam, volume 44, pages 241-258.
  • Gilbert AD, Frisch U, Pouquet A. (1988) Helicity is unnecessary for alpha effect dynamos, but it helps, Geophys. Astrophys. Fluid Dynam, volume 42, pages 151-161.
  • Gilbert AD. (1988) Spiral structures and spectra in two-dimensional turbulence, J. Fluid Mech, volume 193, pages 475-497.

Showing 86 publications from Symplectic.