Professor Rainer Hollerbach

Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT

R.Hollerbach@leeds.ac.uk      +44 113 343 5134

Hiking Mt Halla on Jeju with my wife Eun-jin Kim in 2008   View of Sydney Harbour in 2009 (photo by BridgeClimb)


My current teaching is at the SWJTU-Leeds Joint School in Chengdu, China.

I am a member of the Astrophysical & Geophysical Fluids group. My current research interests include numerical
modelling of magnetic fields in neutron stars, as well as librationally and tidally driven flows in planets and stars.

I am a fellow of the American Geophysical Union, Institute of Mathematics & its Applications and Institute of Physics.


Publications

(See also ORCID, Google Scholar, Semantic Scholar, ResearchGate, Scopus, Web of Science, arXiv.)

  • G. Rüdiger, L.L. Kitchatinov, R. Hollerbach, Magnetic Processes in Astrophysics: Theory, Simulations, Experiments, pp. 356, Wiley-VCH (2013).
  • G. Rüdiger, R. Hollerbach, The Magnetic Universe: Geophysical and Astrophysical Dynamo Theory, pp. 343, Wiley-VCH (2004).


  • N.B. de Vries, A.J. Barker, R. Hollerbach, The interactions of the elliptical instability and convection Physics of Fluids, 35, 024116:1-22 (2023).
  • R. Hollerbach, R.M. Lueptow, E. Serre, Taylor-Couette and related flows on the centennial of Taylor's seminal Philosophical Transactions paper: part 2 Philosophical Transactions of the Royal Society A, 381, 20220359:1-4 (2023).
  • R.M. Lueptow, R. Hollerbach, E. Serre, Taylor-Couette and related flows on the centennial of Taylor's seminal Philosophical Transactions paper: part 1 Philosophical Transactions of the Royal Society A, 381, 20220140:1-6 (2023).
  • A.P. Igoshev, R. Hollerbach, Three-dimensional numerical simulations of ambipolar diffusion in NS cores in the one-fluid approximation: instability of poloidal magnetic field Monthly Notices of the Royal Astronomical Society, 518, 821-846 (2023).
  • E. Kim, R. Hollerbach, A stochastic model of edge-localized modes in magnetically confined plasmas Philosophical Transactions of the Royal Society A, 381, 20210226:1-16 (2023).
  • E. Kim, R. Hollerbach, Non-equilibrium statistical properties, path-dependent information geometry, and entropy relations in edge-localized modes in fusion plasmas Physics of Plasmas, 29, 112302:1-24 (2022).
  • E. Kim, R. Hollerbach, Exact time-dependent solutions and information geometry of a rocking ratchet Symmetry, 14, 314:1-18 (2022).
  • A.P. Igoshev, S.B. Popov, R. Hollerbach, Evolution of neutron star magnetic fields Universe, 7, 351:1-34 (2021).
  • G. Rüdiger, M. Schultz, R. Hollerbach, Destabilization of super-rotating Taylor-Couette flows by current-free helical magnetic fields Journal of Plasma Physics, 87, 905870227:1-19 (2021).
  • A.P. Igoshev, K.N. Gourgouliatos, R. Hollerbach, T.S. Wood, 3D magnetothermal simulations of tangled crustal magnetic field in central compact objects Astrophysical Journal, 909, 101:1-9 (2021).
  • A.P. Igoshev, R. Hollerbach, T. Wood, K.N. Gourgouliatos, Strong toroidal magnetic fields required by quiescent X-ray emission of magnetars Nature Astronomy, 5, 145-149 (2021).
  • R. Hollerbach, E. Kim, L. Schmitz, Time-dependent probability density functions and information diagnostics in forward and backward processes in a stochastic prey-predator model of fusion plasmas Physics of Plasmas, 27, 102301:1-18 (2020).
  • Y. Zhao, J. Tao, W. Hong, R. Hollerbach, Intermittency in magnetohydrodynamic Taylor-Couette flow with the free-slip top and bottom walls Magnetohydrodynamics, 56, 393-402 (2020).
  • K.N. Gourgouliatos, R. Hollerbach, A.P. Igoshev, Powering central compact objects with a tangled crustal magnetic field Monthly Notices of the Royal Astronomical Society, 495, 1692-1699 (2020).
  • E. Kim, R. Hollerbach, Time-dependent probability density functions and information geometry of the low-to-high confinement transition in fusion plasma Physical Review Research, 2, 023077:1-6 (2020).
  • C.M. Pontin, A.J. Barker, R. Hollerbach, Q. André, S. Mathis, Wave propagation in semiconvective regions of giant planets Monthly Notices of the Royal Astronomical Society, 493, 5788-5806 (2020).
  • G. Mamatsashvili, F. Stefani, R. Hollerbach, G. Rüdiger, Two types of axisymmetric helical magnetorotational instability in rotating flows with positive shear Physical Review Fluids, 4, 103905:1-22 (2019).
  • R. Hollerbach, E. Kim, Information geometry of spatially periodic stochastic systems Entropy, 21, 681:1-12 (2019).
  • R. Hollerbach, E. Kim, Y. Mahi, Information length as a new diagnostic in the periodically modulated double-well model of stochastic resonance Physica A, 525, 1313-1322 (2019).
  • E. Kim, Q. Jacquet, R. Hollerbach, Information geometry in a reduced model of self-organised shear flows without the uniform coloured noise approximation Journal of Statistical Mechanics, 023204:1-15 (2019).
  • K.N. Gourgouliatos, R. Hollerbach, R.F. Archibald, Modelling neutron star magnetic fields Astronomy & Geophysics, 59, 5.37-42 (2018).
  • G. Rüdiger, M. Schultz, F. Stefani, R. Hollerbach, Magnetorotational instability in Taylor-Couette flows between cylinders of finite electrical conductivity Geophysical & Astrophysical Fluid Dynamics, 112, 301-320 (2018).
  • Q. Jacquet, E. Kim, R. Hollerbach, Time-dependent probability density functions and attractor structure in self-organised shear flows Entropy, 20, 613:1-18 (2018).
  • R. Hollerbach, D. Dimanche, E. Kim, Information geometry of nonlinear stochastic systems Entropy, 20, 550:1-14 (2018).
  • G. Rüdiger, M. Gellert, R. Hollerbach, M. Schultz, F. Stefani, Stability and instability of hydromagnetic Taylor-Couette flows Physics Reports, 741, 1-89 (2018).
  • J. Vidal, D. Cébron, N. Schaeffer, R. Hollerbach, Magnetic fields driven by tidal mixing in radiative stars Monthly Notices of the Royal Astronomical Society, 475, 4579-4594 (2018).
  • K.N. Gourgouliatos, R. Hollerbach, Magnetic axis drift and magnetic spot formation in neutron stars with toroidal fields Astrophysical Journal, 852, 21:1-12 (2018).
  • L-M. Tenkès, R. Hollerbach, E. Kim, Time-dependent probability density functions and information geometry in stochastic logistic and Gompertz models Journal of Statistical Mechanics, 123201:1-30 (2017).
  • A. Guseva, A.P. Willis, R. Hollerbach, M. Avila, Transport properties of the azimuthal magnetorotational instability Astrophysical Journal, 849, 92:1-8 (2017).
  • A. Guseva, R. Hollerbach, A.P. Willis, M. Avila, Dynamo action in a quasi-Keplerian Taylor-Couette flow Physical Review Letters, 119, 164501:1-5 (2017).
  • E. Kim, L-M. Tenkès, R. Hollerbach, O. Radulescu, Far-from-equilibrium time evolution between two gamma distributions Entropy, 19, 511:1-16 (2017).
  • R. Hollerbach, E. Kim, Information geometry of non-equilibrium processes in a bistable system with a cubic damping Entropy, 19, 268:1-20 (2017).
  • E. Kim, R. Hollerbach, Geometric structure and information change in phase transitions Physical Review E, 95, 062107:1-15 (2017).
  • A. Guseva, R. Hollerbach, A.P. Willis, M. Avila, Azimuthal magnetorotational instability at low and high magnetic Prandtl numbers Magnetohydrodynamics, 53, 25-33 (2017).
  • R. Hollerbach, N. Sibanda, E. Kim, Absolute versus convective helical magnetorotational instabilities in Taylor-Couette flows Fluid Dynamics Research, 49, 045501:1-10 (2017).
  • F. Feudel, L.S. Tuckerman, M. Zaks, R. Hollerbach, Hysteresis of dynamos in rotating spherical shell convection Physical Review Fluids, 2, 053902:1-11 (2017).
  • A. Child, R. Hollerbach, E. Kersalé, Axisymmetric pulse train solutions in narrow-gap spherical Couette flow Physica D, 348, 54-59 (2017).
  • E. Kim, R. Hollerbach, Signature of nonlinear damping in geometric structure of a nonequilibrium process Physical Review E, 95, 022137:1-12 (2017).
  • P.W. Livermore, R. Hollerbach, C.C. Finlay, An accelerating high-latitude jet in Earth's core Nature Geoscience, 10, 62-68 (2017).
  • E. Kim, R. Hollerbach, Time-dependent probability density function in cubic stochastic processes Physical Review E, 94, 052118:1-13 (2016).
  • A. Sood, E. Kim, R. Hollerbach, Dynamical model for spindown of solar-type stars Astrophysical Journal, 832, 97:1-10 (2016).
  • A. Sood, R. Hollerbach, E. Kim, Suppression of a laminar kinematic dynamo by a prescribed large-scale shear Journal of Physics A, 49, 425501:1-10 (2016).
  • K.N. Gourgouliatos, R. Hollerbach, Resistive tearing instability in electron MHD: application to neutron star crusts Monthly Notices of the Royal Astronomical Society, 463, 3381-3389 (2016).
  • E. Kim, U. Lee, J. Heseltine, R. Hollerbach, Geometric structure and geodesic in a solvable model of nonequilibrium process Physical Review E, 93, 062127:1-16 (2016).
  • A. Child, R. Hollerbach, B. Marston, S. Tobias, Generalised quasilinear approximation of the helical magnetorotational instability Journal of Plasma Physics, 82, 905820302:1-18 (2016).
  • M. Gellert, G. Rüdiger, M. Schultz, A. Guseva, R. Hollerbach, Nonaxisymmetric MHD instabilities of Chandrasekhar states in Taylor-Couette geometry Astrophysical Journal, 823, 99:1-9 (2016).
  • R. Hollerbach, D. Hulot, Shercliff layers in strongly magnetic cylindrical Taylor-Couette flow Comptes Rendus Mécanique, 344, 502-509 (2016).
  • K.N. Gourgouliatos, T.S. Wood, R. Hollerbach, Magnetic field evolution in magnetar crusts through three-dimensional simulations Proceedings of the National Academy of Sciences, 113, 3944-3949 (2016).
  • P.W. Livermore, L.M. Bailey, R. Hollerbach, A comparison of no-slip, stress-free and inviscid models of rapidly rotating fluid in a spherical shell Scientific Reports, 6, 22812:1-11 (2016).
  • H. Matsui et al. (36 co-authors), Performance benchmarks for a next generation numerical dynamo model Geochemistry, Geophysics, Geosystems, 17, 1586-1607 (2016).
  • R. Hollerbach, F. Khan, Phase slip solutions in magnetically modulated Taylor-Couette flow Acta Mechanica, 227, 311-319 (2016).
  • A. Child, E. Kersalé, R. Hollerbach, Nonaxisymmetric linear instability of cylindrical magnetohydrodynamic Taylor-Couette flow Physical Review E, 92, 033011:1-9 (2015).
  • A. Guseva, A.P. Willis, R. Hollerbach, M. Avila, Transition to magnetorotational turbulence in Taylor-Couette flow with imposed azimuthal magnetic field New Journal of Physics, 17, 093018:1-14 (2015).
  • K.N. Gourgouliatos, T. Kondić, M. Lyutikov, R. Hollerbach, Magnetar activity via the density-shear instability in Hall-MHD Monthly Notices of the Royal Astronomical Society, 453, L93-97 (2015).
  • T.S. Wood, R. Hollerbach, Three dimensional simulation of the magnetic stress in a neutron star crust Physical Review Letters, 114, 191101:1-5 (2015).
  • M. Seilmayer, V. Galindo, G. Gerbeth, T. Gundrum, F. Stefani, M. Gellert, G. Rüdiger, M. Schultz, R. Hollerbach, Experimental evidence for nonaxisymmetric magnetorotational instability in a rotating liquid metal exposed to an azimuthal magnetic field Physical Review Letters, 113, 024505:1-5 (2014).
  • D. Cébron, R. Hollerbach, Tidally driven dynamos in a rotating sphere Astrophysical Journal Letters, 789, L25:1-5 (2014).
  • T.S. Wood, R. Hollerbach, M. Lyutikov, Density-shear instability in electron magneto-hydrodynamics Physics of Plasmas, 21, 052110:1-10 (2014).
  • P. Marti, N. Schaeffer, R. Hollerbach, D. Cébron, C. Nore, F. Luddens, J-L. Guermond, J. Aubert, Y. Sasaki, S. Takehiro, Y. Hayashi, R. Simitev, F. Busse, S. Vantieghem, A. Jackson, Full sphere hydrodynamic and dynamo benchmarks Geophysical Journal International, 197, 119-134 (2014).
  • G. Rüdiger, M. Gellert, M. Schultz, R. Hollerbach, F. Stefani, Astrophysical and experimental implications from the magnetorotational instability of toroidal fields Monthly Notices of the Royal Astronomical Society, 438, 271-277 (2014).
  • B. Futterer, A. Krebs, A-C. Plesa, F. Zaussinger, R. Hollerbach, D. Breuer, C. Egbers, Sheet-like and plume-like thermal flow in a spherical convection experiment performed under microgravity Journal of Fluid Mechanics, 735, 647-683 (2013).
  • P.W. Livermore, R. Hollerbach, A. Jackson, Electromagnetically driven westward drift and inner-core superrotation in Earth’s core Proceedings of the National Academy of Sciences, 10, 15914-15918 (2013).
  • T. von Larcher, A. Fournier, R. Hollerbach, The influence of a sloping bottom endwall on the linear stability in the thermally driven baroclinic annulus with a free surface Theoretical & Computational Fluid Dynamics, 27, 433-451 (2013).
  • R. Hollerbach, C. Nore, P. Marti, S. Vantieghem, F. Luddens, J. Leorat, Parity-breaking flows in precessing spherical containers Physical Review E, 87, 053020:1-9 (2013).
  • S. Koch, U. Harlander, C. Egbers, R. Hollerbach, Inertial waves in a spherical shell induced by librations of the inner sphere: experimental and numerical results Fluid Dynamics Research, 45, 035504:1-19 (2013).
  • R. Hollerbach, X. Wei, J. Noir, A. Jackson, Electromagnetically driven zonal flows in a rapidly rotating spherical shell Journal of Fluid Mechanics, 725, 428-445 (2013).
  • K.J. Richardson, R. Hollerbach, M.R.E. Proctor, From large-scale to small-scale dynamos in a spherical shell Physics of Fluids, 24, 107103:1-11 (2012).
  • X. Wei, A. Jackson, R. Hollerbach, Kinematic dynamo action in spherical Couette flow Geophysical & Astrophysical Fluid Dynamics, 106, 681-700 (2012).
  • P.W. Livermore, R. Hollerbach, Successive elimination of shear layers by a hierarchy of constraints in inviscid spherical-shell flows Journal of Mathematical Physics, 53, 073104:1-18 (2012).
  • R.J. Teed, C.A. Jones, R. Hollerbach, On the necessary conditions for bursts of convection within the rapidly rotating cylindrical annulus Physics of Fluids, 24, 066604:1-21 (2012).
  • T. Kondić, G. Rüdiger, R. Hollerbach, The shear-Hall instability in newborn neutron stars Astronomy & Astrophysics, 535, L2:1-4 (2011).
  • M. Gellert, G. Rüdiger, R. Hollerbach, Helicity and α-effect by current-driven instabilities of helical magnetic fields Monthly Notices of the Royal Astronomical Society, 414, 2696-2701 (2011).
  • F. Feudel, K. Bergemann, L.S. Tuckerman, C. Egbers, B. Futterer, M. Gellert, R. Hollerbach, Convection patterns in a spherical fluid shell Physical Review E, 83, 046304:1-8 (2011).
  • R.J. Teed, C.A. Jones, R. Hollerbach, Rapidly rotating plane layer convection with zonal flow Geophysical & Astrophysical Fluid Dynamics, 104, 457-480 (2010).
  • G. Rüdiger, M. Gellert, M. Schultz, R. Hollerbach, Dissipative Taylor-Couette flows under the influence of helical magnetic fields Physical Review E, 82, 016319:1-10 (2010).
  • X. Wei, R. Hollerbach, Magnetic spherical Couette flow in linear combinations of axial and dipolar fields Acta Mechanica, 215, 1-8 (2010).
  • R. Hollerbach, V. Teeluck, G. Rüdiger, Nonaxisymmetric magnetorotational instabilities in cylindrical Taylor-Couette flow Physical Review Letters, 104, 044502:1-4 (2010).
  • C.J. Wareing, R. Hollerbach, Cascades in decaying three-dimensional electron magnetohydrodynamic turbulence Journal of Plasma Physics, 76, 117-128 (2010).
  • C.J. Wareing, R. Hollerbach, Hall cascades versus instabilities in neutron star magnetic fields Astronomy & Astrophysics, 508, L39-42 (2009).
  • F. Stefani, G. Gerbeth, T. Gundrum, R. Hollerbach, J. Priede, G. Rüdiger, J. Szklarski, Helical magnetorotational instability in a Taylor-Couette flow with strongly reduced Ekman pumping Physical Review E, 80, 066303:1-18 (2009).
  • R. Hollerbach, P.S. Cally, Nonlinear evolution of axisymmetric twisted flux tubes in the solar tachocline Solar Physics, 260, 251-260 (2009).
  • C.J. Wareing, R. Hollerbach, Forward and inverse cascades in decaying two-dimensional electron magnetohydrodynamic turbulence Physics of Plasmas, 16, 042307:1-8 (2009).
  • R. Hollerbach, Instabilities of Taylor columns in a rotating stratified fluid Physics Letters A, 373, 3775-3778 (2009).
  • R. Hollerbach, Non-axisymmetric instabilities in magnetic spherical Couette flow Proceedings of the Royal Society A, 465, 2003-2013 (2009).
  • F. Stefani, G. Gerbeth, T. Gundrum, J. Szklarski, G. Rüdiger, R. Hollerbach, Liquid metal experiments on the helical magnetorotational instability Magnetohydrodynamics, 45, 135-143 (2009).
  • X. Wei, R. Hollerbach, Instabilities of Shercliff and Stewartson layers in spherical Couette flow Physical Review E, 78, 026309:1-5 (2008).
  • F. Stefani, G. Gerbeth, T. Gundrum, J. Szklarski, G. Rüdiger, R. Hollerbach, Results of a modified PROMISE experiment Astronomische Nachrichten, 329, 652-658 (2008).
  • R. Hollerbach, Spectral solutions of the MHD equations in cylindrical geometry International Journal of Pure & Applied Mathematics, 42, 575-581 (2008).
  • G. Rüdiger, R. Hollerbach, Comment on: Helical magnetorotational instability in magnetized Taylor-Couette flow Physical Review E, 76, 068301:1-2 (2007).
  • G. Rüdiger, R. Hollerbach, M. Gellert, M. Schultz, The azimuthal magnetorotational instability (AMRI) Astronomische Nachrichten, 328, 1158-1161 (2007).
  • G. Rüdiger, M. Schultz, D. Shalybkov, R. Hollerbach, Theory of current-driven instability experiments in magnetic Taylor-Couette flows Physical Review E, 76, 056309:1-9 (2007).
  • G. Rüdiger, R. Hollerbach, M. Schultz, D. Elstner, Destabilisation of hydrodynamically stable rotation laws by azimuthal magnetic fields Monthly Notices of the Royal Astronomical Society, 377, 1481-1487 (2007).
  • R. Hollerbach, E. Canet, A. Fournier, Spherical Couette flow in a dipolar magnetic field European Journal of Mechanics B, 26, 729-737 (2007).
  • B. Futterer, A. Brucks, R. Hollerbach, C. Egbers, Thermal blob convection in spherical shells International Journal of Heat & Mass Transfer, 50, 4079-4088 (2007).
  • F. Stefani, T. Gundrum, G. Gerbeth, G. Rüdiger, J. Szklarski, R. Hollerbach, Experiments on the magnetorotational instability in helical magnetic fields New Journal of Physics, 9, 295:1-15 (2007).
  • G. Rüdiger, R. Hollerbach, F. Stefani, T. Gundrum, G. Gerbeth, R. Rosner, The traveling-wave MRI in cylindrical Taylor-Couette flow: comparing wavelengths and speeds in theory and experiment Astrophysical Journal Letters, 649, L145-147 (2006).
  • F. Stefani, T. Gundrum, G. Gerbeth, G. Rüdiger, M. Schultz, J. Szklarski, R. Hollerbach, Experimental evidence for magnetorotational instability in a Taylor-Couette flow under the influence of a helical magnetic field Physical Review Letters, 97, 184502:1-4 (2006).
  • R. Hollerbach, M. Junk, C. Egbers, Non-axisymmetric instabilities in basic state spherical Couette flow Fluid Dynamics Research, 38, 257-273 (2006).
  • G. Rüdiger, R. Hollerbach, M. Schultz, D.A. Shalybkov, The stability of MHD Taylor-Couette flow with current-free spiral magnetic fields between conducting cylinders Astronomische Nachrichten, 326, 409-413 (2005).
  • R. Hollerbach, G. Rüdiger, New type of magnetorotational instability in cylindrical Taylor-Couette flow Physical Review Letters, 95, 124501:1-4 (2005).
  • A. Fournier, H-P. Bunge, R. Hollerbach, J-P. Vilotte, A Fourier-spectral element algorithm for thermal convection in rotating axisymmetric containers Journal of Computational Physics, 204, 462-489 (2005).
  • A. Fournier, H-P. Bunge, R. Hollerbach, J-P. Vilotte, Application of the spectral element method to the axisymmetric Navier-Stokes equation Geophysical Journal International, 156, 682-700 (2004).
  • R. Hollerbach, A. Fournier, End-effects in rapidly rotating cylindrical Taylor-Couette flow, R. Rosner, G. Rüdiger & A. Bonanno (Editors), MHD Couette Flows: Experiments and Models, AIP Conference Proceedings, 733, 114-121, American Institute of Physics (2004).
  • R. Hollerbach, G. Rüdiger, Hall drift in the stratified crusts of neutron stars Monthly Notices of the Royal Astronomical Society, 347, 1273-1278 (2004).
  • R. Hollerbach, B. Futterer, T. More, C. Egbers, Instabilities of the Stewartson layer. Part 2. Supercritical mode transitions Theoretical & Computational Fluid Dynamics, 18, 197-204 (2004).
  • R. Hollerbach, Instabilities of the Stewartson layer. Part 1. The dependence on the sign of Ro Journal of Fluid Mechanics, 492, 289-302 (2003).
  • R. Arlt, R. Hollerbach, G. Rüdiger, Differential rotation decay in the radiative envelopes of CP stars Astronomy & Astrophysics, 401, 1087-1094 (2003).
  • R. Hollerbach, The range of timescales on which the geodynamo operates, V. Dehant, K. Creager, S-I. Karato & S. Zatman (Editors), Earth's Core: Dynamics, Structure, Rotation, AGU Geodynamics Series, 31, 181-192, American Geophysical Union (2003).
  • P. Beltrame, C. Egbers, R. Hollerbach, The GEOFLOW experiment on ISS: III. Bifurcation analysis Advances in Space Research, 32, 190-197 (2003).
  • V. Travnikov, C. Egbers, R. Hollerbach, The GEOFLOW experiment on ISS: II. Numerical simulation Advances in Space Research, 32, 181-189 (2003).
  • C. Egbers, W. Beyer, A. Bonhage, R. Hollerbach, P. Beltrame, The GEOFLOW experiment on ISS: I. Experimental preparation and design of laboratory testing hardware Advances in Space Research, 32, 171-180 (2003).
  • R. Hollerbach, R.J. Wiener, I.S. Sullivan, R.J. Donnelly, C.F. Barenghi, The flow around a torsionally oscillating sphere Physics of Fluids, 14, 4192-4205 (2002).
  • R. Hollerbach, G. Rüdiger, The influence of Hall drift on the magnetic fields of neutron stars Monthly Notices of the Royal Astronomical Society, 337, 216-224 (2002).
  • P. Fotheringham, D. Fearn, R. Hollerbach, Magnetic stability and nonlinear evolution of a selection of mean field dynamos Physics of the Earth & Planetary Interiors, 134, 213-237 (2002).
  • R. Hollerbach, S. Skinner, Instabilities of magnetically induced shear layers and jets Proceedings of the Royal Society A, 457, 785-802 (2001).
  • R. Hollerbach, Super- and counter-rotating jets and vortices in strongly magnetic spherical Couette flow, P. Chossat, D. Armbruster & J. Oprea (Editors), Dynamo and Dynamics, a Mathematical Challenge, NATO Science Series II, 26, 189-197, Kluwer Academic Publishers (2001).
  • R. Hollerbach, Magnetohydrodynamic flows in spherical shells, C. Egbers & G. Pfister (Editors), Physics of Rotating Fluids, Lecture Notes in Physics, 549, 295-316, Springer (2000).
  • A. Drecker, G. Rüdiger, R. Hollerbach, Global structure of self-excited magnetic fields arising from the magnetic shear instability Monthly Notices of the Royal Astronomical Society, 317, 45-54 (2000).
  • R. Hollerbach, A spectral solution of the magneto-convection equations in spherical geometry International Journal for Numerical Methods in Fluids, 32, 773-797 (2000).
  • A.M. Soward, R. Hollerbach, Non-axisymmetric magnetohydrodynamic shear layers in a rotating spherical shell Journal of Fluid Mechanics, 408, 239-274 (2000).
  • M.R. Walker, R. Hollerbach, The adjustment to Taylor's constraint in the presence of an ambient field Physics of the Earth & Planetary Interiors, 114, 181-196 (1999).
  • D.R. McLean, D.R. Fearn, R. Hollerbach, Magnetic stability under the magnetostrophic approximation Physics of the Earth & Planetary Interiors, 111, 123-139 (1999).
  • R. Hollerbach, What can the observed rotation of the Earth's inner core reveal about the state of the outer core? Geophysical Journal International, 135, 564-572 (1998).
  • P. Fotheringham, R. Hollerbach, Inertial oscillations in a spherical shell Geophysical & Astrophysical Fluid Dynamics, 89, 23-43 (1998).
  • R. Hollerbach, Time-dependent Taylor vortices in wide-gap spherical Couette flow Physical Review Letters, 81, 3132-3135 (1998).
  • A. Drecker, R. Hollerbach, G. Rüdiger, Viscosity alpha in rotating spherical shear flows with an external magnetic field Monthly Notices of the Royal Astronomical Society, 298, 1030-1034 (1998).
  • R. Hollerbach, G.A. Glatzmaier, Mixed-parity solutions in a mean-field dynamo model Studia Geophysica & Geodaetica, 42, 239-246 (1998).
  • R. Hollerbach, D.J. Galloway, M.R.E. Proctor, On the adjustment to the Bondi-Gold theorem in a spherical-shell fast dynamo Geophysical & Astrophysical Fluid Dynamics, 87, 111-132 (1998).
  • R. Hollerbach, The influence of an axial field on magnetohydrodynamic Ekman and Stewartson layers, in the presence of a finitely conducting inner core Acta Astronomica Geophysica Universitatis Comenianae, 19, 263-275 (1997).
  • R. Hollerbach, The dynamical balance in semi-Taylor states Geophysical & Astrophysical Fluid Dynamics, 84, 85-98 (1997).
  • R. Hollerbach, Magnetohydrodynamic shear layers in a rapidly rotating plane layer Geophysical & Astrophysical Fluid Dynamics, 82, 237-253 (1996).
  • R. Hollerbach, On the theory of the geodynamo Physics of the Earth & Planetary Interiors, 98, 163-185 (1996).
  • R. Hollerbach, On the energetics of magnetic instabilities Geophysical & Astrophysical Fluid Dynamics, 81, 211-213 (1995).
  • C.A. Jones, A.W. Longbottom, R. Hollerbach, A self-consistent convection driven geodynamo model, using a mean field approximation Physics of the Earth & Planetary Interiors, 92, 119-141 (1995).
  • A.W. Longbottom, C.A. Jones, R. Hollerbach, Linear magnetoconvection in a rotating spherical shell, incorporating a finitely conducting inner core Geophysical & Astrophysical Fluid Dynamics, 80, 205-227 (1995).
  • R. Hollerbach, R.R. Kerswell, Oscillatory internal shear layers in rotating and precessing flows Journal of Fluid Mechanics, 298, 327-339 (1995).
  • R. Hollerbach, Fast dynamo action in spherical geometry: numerical calculations using parallel virtual machines Computers in Physics, 9, 460-463 (1995).
  • R. Hollerbach, D.J. Galloway, M.R.E. Proctor, Numerical evidence of fast dynamo action in a spherical shell Physical Review Letters, 74, 3145-3148 (1995).
  • R. Hollerbach, C.A. Jones, On the magnetically stabilizing role of the Earth's inner core Physics of the Earth & Planetary Interiors, 87, 171-181 (1995).
  • R. Hollerbach, Imposing a magnetic field across a nonaxisymmetric shear layer in a rotating spherical shell Physics of Fluids, 6, 2540-2544 (1994).
  • R. Hollerbach, Magnetohydrodynamic Ekman and Stewartson layers in a rotating spherical shell Proceedings of the Royal Society A, 444, 333-346 (1994).
  • R. Hollerbach, M.R.E. Proctor, Non-axisymmetric shear layers in a rotating spherical shell, M.R.E. Proctor, P.C. Matthews & A.M. Rucklidge (Editors), Solar and Planetary Dynamos, 145-152, Cambridge University Press (1993).
  • R. Hollerbach, C.A. Jones, Influence of the Earth's inner core on geomagnetic fluctuations and reversals Nature, 365, 541-543 (1993).
  • R. Hollerbach, C.A. Jones, A geodynamo model incorporating a finitely conducting inner core Physics of the Earth & Planetary Interiors, 75, 317-327 (1993).
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