Keith Moffatt

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Keith Moffatt is affiliated with the following schools: University of Bristol, University of Edinburgh, University of Cambridge

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According to Wikipedia, Henry Keith Moffatt, FRS FRSE is a British mathematician with research interests in the field of fluid dynamics, particularly magnetohydrodynamics and the theory of turbulence. He was Professor of Mathematical Physics at the University of Cambridge from 1980 to 2002.

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Keith Moffatt's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Magnetic Field Generation in Electrically Conducting Fluids (1978) (2249)
Viscous and resistive eddies near a sharp corner (1964) (1442)
The degree of knottedness of tangled vortex lines (1969) (1224)
Helicity in Laminar and Turbulent Flow (1992) (456)
Helicity and the Călugăreanu invariant (1992) (372)
Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 1. Fundamentals (1985) (326)
Stretched vortices – the sinews of turbulence; large-Reynolds-number asymptotics (1994) (261)
Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 2. Stability considerations (1986) (257)
Topological Fluid Mechanics (1990) (204)
Transport effects associated with turbulence with particular attention to the influence of helicity (1983) (201)
On the suppression of turbulence by a uniform magnetic field (1967) (188)
The energy spectrum of knots and links (1990) (186)
Topological aspects of the dynamics of fluids and plasmas (1992) (176)
BEHAVIOR OF A VISCOUS FILM ON THE OUTER SURFACE OF A ROTATING CYLINDER (1977) (173)
Free-surface cusps associated with flow at low Reynolds number (1992) (171)
On a class of steady confined Stokes flows with chaotic streamlines (1990) (160)
Turbulent dynamo action at low magnetic Reynolds number (1970) (156)
Some developments in the theory of turbulence (1981) (155)
Dynamo action associated with random inertial waves in a rotating conducting fluid (1970) (145)
Topological constraints associated with fast dynamo action (1985) (125)
Local similarity solutions and their limitations (1980) (119)
Fluid dynamical aspects of the levitation-melting process (1982) (118)
Magnetohydrodynamics : Historical evolution and trends (2010) (116)
Motion and expansion of a viscous vortex ring. Part 1. A higher-order asymptotic formula for the velocity (2000) (115)
Perspectives in Fluid Dynamics (2002) (115)
Helicity and singular structures in fluid dynamics (2014) (115)
Perspectives in Fluid Dynamics: A Collective Introduction to Current Research (2001) (111)
The magnetostrophic rise of a buoyant parcel in the Earth's core (1994) (95)
On fluid flow induced by a rotating magnetic field (1965) (85)
An approach to a dynamic theory of dynamo action in a rotating conducting fluid (1972) (85)
A self-consistent treatment of simple dynamo systems (1979) (82)
The structure of the vortices in freely decaying two-dimensional turbulence (1996) (81)
The amplification of a weak applied magnetic field by turbulence in fluids of moderate conductivity (1961) (77)
The energy and helicity of knotted magnetic flux tubes (1995) (71)
Self-Exciting Fluid Dynamos (2019) (63)
Generalised vortex rings with and without swirl (1988) (61)
Some Remarks on Topological Fluid Mechanics (2001) (55)
The Helicity of a Knotted Vortex Filament (1992) (54)
Structure and stability of solutions of the Euler equations: a lagrangian approach (1990) (52)
The interaction of skewed vortex pairs: a model for blow-up of the Navier–Stokes equations (2000) (52)
The response of Hill's spherical vortex to a small axisymmetric disturbance (1978) (51)
The mean electromotive force generated by turbulence in the limit of perfect conductivity (1974) (51)
Reconnection of skewed vortices (2014) (51)
Flow of a viscous trickle on a slowly varying incline (1995) (51)
Topographic coupling at the core-mantle interface (1977) (51)
On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 1. Fundamental principles (1995) (48)
Fixed points of turbulent dynamical systems and suppression of nonlinearity (1990) (44)
Two- and three-dimensional numerical simulations of the clap–fling–sweep of hovering insects (2010) (42)
The correlation between gravitational and geomagnetic fields caused by interaction of the core fluid motion with a bumpy core-mantle interface (1976) (42)
Soap-film Möbius strip changes topology with a twist singularity (2010) (42)
Dynamics of an axisymmetric body spinning on a horizontal surface. I. Stability and the gyroscopic approximation (2004) (42)
Effects of inertia in forced corner flows (1981) (41)
On the existence of localized rotational disturbances which propagate without change of structure in an inviscid fluid (1986) (40)
Note on the triad interactions of homogeneous turbulence (2014) (39)
Classical dynamics: Spinning eggs — a paradox resolved (2002) (38)
Magnetostrophic Turbulence and the Geodynamo (2008) (38)
VISCOUS EDDIES NEAR A SHARP CORNER (1965) (37)
A Voyage Through Turbulence: List of contributors (2011) (36)
Liquid Metal MHD and the Geodynamo (1989) (36)
Tubes, Sheets and Singularities in Fluid Dynamics (2002) (35)
The role of the helicity spectrum function in turbulent dynamo theory (1982) (35)
Andrei Nikolaevich Kolmogorov (1903–1987) (1990) (34)
The effect of wall conductance on heat diffusion in duct flow (1982) (34)
The degree of knottedness of tangled vortex lines – CORRIGENDUM (2017) (33)
Flow of fluid of non-uniform viscosity in converging and diverging channels (1982) (32)
On the three‐dimensional instability of elliptical vortex subjected to stretching (1996) (32)
The Lighthill–Weis-Fogh clap–fling–sweep mechanism revisited (2011) (31)
Stretch, twist and fold (1989) (30)
Spiral structures in turbulent flow (1993) (30)
Towards a finite-time singularity of the Navier–Stokes equations Part 1. Derivation and analysis of dynamical system (2018) (30)
Kinematic variational principle for motion of vortex rings (2008) (30)
On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 2. Stability criteria for two-dimensional flows (1996) (30)
Pinch dynamics in a low-β plasma (2017) (27)
On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part III. Stability criteria for axisymmetric flows (1997) (26)
Rotary honing: a variant of the Taylor paint-scraper problem (2000) (26)
Dynamo generation of a magnetic field by decaying Lehnert waves in a highly conducting plasma (2018) (26)
The Topology of Scalar Fields in 2D and 3D Turbulence (2001) (26)
SMALL-SCALE HYDROMAGNETIC FLOW IN THE EARTH'S CORE: RISE OF A VERTICAL BUOYANT PLUME (1993) (26)
A similarity solution for viscous source flow on a vertical plane (1997) (26)
Note on the suppression of transient shear-flow instability by a spanwise magnetic field (2010) (26)
Exact solutions of the Navier–Stokes equations having steady vortex structures (2005) (25)
The Earth's Magnetism: Past Achievements and Future Challenges (2013) (25)
Towards a finite-time singularity of the Navier–Stokes equations. Part 2. Vortex reconnection and singularity evasion (2018) (25)
Geophysical and Astrophysical Turbulence (1987) (24)
SIMPLE TOPOLOGICAL ASPECTS OF TURBULENT VORTICITY DYNAMICS 223 (1984) (24)
G.K. BATCHELOR AND THE HOMOGENIZATION OF TURBULENCE (2002) (23)
Report on the NATO Advanced Study Institute on magnetohydrodynamic phenomena in rotating fluids (1973) (23)
Celt reversals: a prototype of chiral dynamics (2008) (22)
The asymptotic behaviour of solutions of the Navier-Stokes equations near sharp corners (1980) (22)
Vortex Dynamics: The Legacy of Helmholtz and Kelvin (2006) (22)
Migration of an insulating particle under the action of uniform ambient electric and magnetic fields. Part 1. General theory (2002) (21)
Dynamics of a rolling robot (2017) (20)
Generation of Magnetic Fields by Fluid Motion (1976) (20)
Topological fluid mechanics : proceedings of the IUTAM Symposium, Cambridge, UK, 13-18 August 1989 (1990) (20)
On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 4. Generalized isovorticity principle for three-dimensional flows (1999) (20)
Boundary singularities produced by the motion of soap films (2014) (19)
Helicity—invariant even in a viscous fluid (2017) (19)
Lectures on Topological Fluid Mechanics (2009) (19)
A tent model of vortex reconnection under Biot–Savart evolution (2017) (19)
Similarity solutions for unsteady stagnation point flow (2012) (19)
Time-resolved crystallography: principles, problems and practice (1992) (19)
Relaxation Under Topological Constraints (1992) (18)
The annihilation of a two-dimensional jet by a transverse magnetic field (1967) (18)
Magnetic relaxation and the Taylor conjecture (2015) (18)
Scaling properties towards vortex reconnection under Biot–Savart evolution (2017) (17)
Regular and Stochastic Motion. By A. J. LICHTENBERG and M. A. LIEBERMAN. Springer, 1983. Applied Mathematical Sciences Series no. 38. 499 pp. DM 108 or US $44.60. (1984) (16)
Evolving eddy structures in oscillatory Stokes flows in domains with sharp corners (2006) (16)
Six Lectures on General Fluid Dynamics and Two on Hydromagnetic Dynamo Theory (1977) (16)
Rotation of a liquid metal under the action of a rotating magnetic field (1980) (16)
Three coins in a fountain (2013) (15)
Topological constraints and their breakdown in dynamical evolution (2012) (15)
Statistical Fluid Mechanics: The Mechanics of Turbulence, volume 1. By A. S. MONIN and A. M. YAGLOM. M. I. T. Press, 1971. 769 pp. £10.50. (1973) (14)
Magnetic eddies in an incompressible viscous fluid of high electrical conductivity (1963) (14)
Report on the AFOSR-IFP-Stanford conference on computation of turbulent boundary layers (1969) (13)
Some topological aspects of fluid dynamics (2021) (13)
Comment on "Growth of a weak magnetic field in a turbulent conducting fluid with large magnetic Prandtl number" (1964) (13)
Some problems in the magnetohydrodynamics of liquid metals (1978) (13)
reply: Numismatic gyrations (2000) (13)
Interpretation of Invariants of the Betchov-Da Rios Equations and of the Euler Equations (1991) (12)
VORTEX- AND MAGNETO-DYNAMICS – A TOPOLOGICAL PERSPECTIVE (2000) (12)
ON THE EXISTENCE, STRUCTURE AND STABILITY OF MHD EQUILIBRIUM STATES (1989) (12)
Evolution of the Leading-Edge Vortex over an Accelerating Rotating Wing (2013) (12)
Singularities in Fluid Dynamics and their Resolution (2009) (12)
A dynamic runaway effect associated with flux expulsion in magnetohydrodynamic channel flow (1982) (11)
Corner Singularities in Three-Dimensional Stokes Flow (1999) (11)
On the effect of a central vortex on a stretched magnetic flux tube (1997) (11)
Chaos Associated with Fluid Inertia (1992) (11)
ON THE EXISTENCE OF EULER FLOWS THAT ARE TOPOLOGICALLY ACCESSIBLE FROM A GIVEN FLOW (2005) (11)
Environmental Hazards: The Fluid Dynamics and Geophysics of Extreme Events (2011) (11)
The Earth’s Dynamo (1994) (10)
Pulling the knot tight (1996) (10)
On the behaviour of a suspension of conducting particles subjected to a time-periodic magnetic field (1990) (10)
Helicity and celestial magnetism (2016) (9)
A Voyage Through Turbulence: Epilogue: a turbulence timeline (2011) (9)
Instability of a Möbius strip minimal surface and a link with systolic geometry. (2015) (9)
Introduction to Fluid Mechanics (1966) (9)
The Topology of Turbulence (2001) (9)
Report on workshop on small-diffusivity dynamos and dynamical systems (1990) (9)
Evolution of toroidal magnetic eddies in an ideal fluid (2006) (9)
The mean electromotive force generated by elliptic instability (2012) (9)
Electrically driven steady flows in magnetohydrodynamics (1966) (8)
Stochastic Tools in Turbulence. By JOHN L. LUMLEY. Academic Press, 1970. 205 pp. $5.60. Turbulence Phenomena. By J. T. DAVIES. Academic Press, 1972. 412 pp. $19.50. (1975) (8)
Extreme events in turbulent flow (2021) (8)
A model for magnetic reconnection (2002) (7)
Homogeneous turbulence: an introductory review (2012) (7)
Book Review: Mean-Field Magneto-hydrodynamics and Dynamo Theory. F. KRAUSE and K. H. RäDLER: Pergamon Press, Oxford, U.K. 1981, 271 p. £15.00 (1981) (6)
Metallurgical applications of magnetohydrodynamics : proceedings of a symposium of the International Union of Theoretical and Applied Mechanics held at Trinity College, Cambridge, UK 6-10 September 1982 (1984) (6)
Lewis Fry Richardson (2011) (6)
Magnetohydrodynamic flows and turbulence: a report on the Second Bat-Sheva Seminar (1979) (6)
MAGNETIC RELAXATION, CURRENT SHEETS, AND STRUCTURE FORMATION IN AN EXTREMELY TENUOUS FLUID MEDIUM (2013) (6)
Deflection of a stream of liquid metal by means of an alternating magnetic field (1988) (6)
Reflections on Magnetohydrodynamics (2005) (5)
Osborne Reynolds: A turbulent life (2011) (5)
Soap-film dynamics and topological transitions under continuous deformation (2016) (5)
KNOTS AND FLUID DYNAMICS (1998) (5)
Spreading or contraction of viscous drops between plates: single, multiple or annular drops (2021) (5)
Singularities in fluid mechanics (2019) (5)
Instability of magnetic modons and analogous Euler flows (1996) (5)
Minimum Energy Magnetic Fields with Toroidal Topology (1992) (5)
Large and small scale motions in Kinematic dynamos (1985) (4)
A thermally driven disc dynamo. (1993) (4)
Towards a finite-time singularity of the Navier–Stokes equations. Part 2. Vortex reconnection and singularity evasion – CORRIGENDUM (2019) (4)
Turbulence and Stochastic Processes: Kolmogorov's Ideas 50 Years On. Edited by J. C. R. HUNT, O. M. PHILLIPS and D. WILLIAMS. Proceedings of the Royal Society, London, A, vol. 434, 1991, pp. 1–240. £19.50 (1994) (4)
George Keith Batchelor. 8 March 1920 – 30 March 2000 (2002) (4)
The early years of the Journal of Fluid Mechanics. Style and international impact (2017) (3)
A Voyage Through Turbulence: Preface (2011) (3)
Intensification of the Earth's Magnetic Field by Turbulence in the Ionosphere (1962) (3)
Reconnexion of vortex and magnetic tubes subject to an imposed strain: An approach by perturbation expansion (2005) (3)
A Brief Introduction to Vortex Dynamics and Turbulence (2011) (3)
Dynamo instability and feedback in a stochastically driven system (1972) (3)
George Batchelor: a personal tribute, ten years on (2010) (3)
Giffen Goods and Their Reflexion Property (2014) (2)
THE FLUID DYNAMICS OF JAMES CLERK MAXWELL (2012) (2)
Vortices subjected to non-axisymmetric strain — unsteady asymptotic evolution (1995) (2)
REPORT ON WORKSHOP ON (1990) (2)
Corrigendum: Stretched vortices – the sinews of turbulence; large-Reynolds-number asymptotics (1994) (2)
Local and Global Perspectives in Fluid Dynamics (2001) (2)
Instability of a gravity current within a soap film (2014) (2)
MOTION OF A THIN VORTEX RING IN A VISCOUS FLUID: HIGHER-ORDER ASYMPTOTICS (1998) (2)
John Arthur Shercliff, 10 September 1927 - 6 December 1983 (1985) (1)
A Voyage Through Turbulence: George Batchelor: the post-war renaissance of research in turbulence (2011) (1)
Viscous Thread Falling on a Spinning Surface (2022) (1)
Chiral transfer of angular momentum (2019) (1)
Magnetohydrodynamic phenomena in rotating fluids (1972) (1)
Tubes, sheets and singularities in fluid dynamics : proceedings of the NATO ARW held in Zakopane, Poland, 2-7 September 2001, sponsored as an IUTAM Symposium by the International Union of Theoretical and Applied Mechanics (2002) (1)
Loose Boundary Hydraulics. By A. J. RAUDKIVI. Pergramon Press, 1967. 331 pp. £2. 10s. (1969) (1)
Course 6: The Topology of Turbulence (2001) (1)
Nonlinear Magnetohydrodynamics. By D. Biskamp. Cambridge University Press, 1993, 378 pp. £50. (1994) (1)
Turbulence Colloquium Marseille 2011: Fundamental Problems of Turbulence 50 years after the Marseille 1961 Conference (2014) (1)
Giffen Goods: A Duality Theorem (2010) (1)
On the stability of a rigid body in a magnetostatic equilibrium (2003) (1)
A singularity-free model of the local velocity gradient and acceleration gradient structure of turbulent flow (2002) (1)
Mirror utility functions and reflexion properties of various classes of goods (2011) (1)
Topological methods in the physical sciences [Discussion Meeting Issue. Meeting organised by V. I. Arnold, J. W. Bruce, H. K. Moffatt and R. B. Pelz.] (2001) (1)
Book Review (2016) (1)
Hydrodynamic and Magnetohydrodynamic Turbulent Flows: Modelling and Statistical Theory. By A. YOSHIZAWA. Kluwer, 1998, 410 pp. ISBN 07923 52254. £139.50 (2002) (1)
Cosmic dynamos: from alpha to omega (1993) (0)
Introduction to Fluid Mechanics. By Jr. E. B. McLeod 232 pp. 42s. (Pergamon) (1966) (0)
An Informal Introduction to Theoretical Fluid Mechanics. By JAMES LIGHTHILL. Clarendon Press, 1986. 260 pp. £25 hardback or £12.50 paperback. (1988) (0)
Tubes, sheets, and singularities in fluid dynamics : proceedings of the NATO ARW, 2-7 September 2001, Zakopane, Poland (2002) (0)
A review of: “Magnetohydrodynamics” (1977) (0)
Swoop and swerve (2006) (0)
Introduction to Plasma Physics. By W. B. THOMPSON. Pergamon Press, 1962. 256pp. 23. 10s. (1963) (0)
Direct Lyapunov method in nonlinear stability of complex flows (1997) (0)
Unsteady boundary layers on flapping wings (2012) (0)
Fast dynamo action-A critical problem for solar magnetism (1990) (0)
Effect of Viscosity on the Motion of a Vortex Ring (1998) (0)
Aspects of Dynamo Theory (1984) (0)
Buses for the '90s (1991) (0)
Flapping wings: viscous effects in Lighthill--Weis-Fogh mechanism (2008) (0)
Otto LaPorte Lecture: Singularities in Fluid Dynamics (2018) (0)
The persistence of spin (2010) (0)
Straining effect in the process of vortex reconnection (2018) (0)
A Study of Knickpoint Formation: Geomorphic Analysis of San Simeon Creek (2013) (0)
Obituary: James Lighthill (1924-98) (1998) (0)
Unsteady flow near front and rear stagnation points (2012) (0)
Sustainable Mining 2010 - The Business Case (2010) (0)
The Birth and Adolescence of MHD Turbulence (2007) (0)
Numerical Simulations of the Clap-Fling-Sweep Mechanism of Hovering Insects (2012) (0)
Hall Effect Gear Tooth Sensors (A Comparison of) (1991) (0)
Preface (2022) (0)
29pWD-4 回転卵が直立する臨界回転数(回転と波動)(領域11) (2004) (0)
26pXA-10 軸対称磁気渦の運動 : MHDによる理論解析と数値シミュレーション(プラズマ宇宙物理(MHD現象3),領域2(プラズマ基礎・プラズマ科学・核融合プラズマ・プラズマ宇宙物理)) (2005) (0)
27pYC-10 回転ゆで卵の自己誘導跳躍(力学系(保存系)・回転と波動,領域11(統計力学,物性基礎論,応用数学,力学,流体物理)) (2005) (0)
Soap film dynamics and topological jumps under continuous deformation (2015) (0)
Formation and Disruption of Concentrated Vortices in Turbulence (1998) (0)
Corrigendum (1980) (0)
Numerical investigation of the model on vortex reconnection (2019) (0)
The Role Function Theory of the Helicity Spectrum in Turbulent Dynamo (1982) (0)
Numismatic gyrations. Author's reply (2000) (0)
Annual Review of Fluid Mechanics, Volume 2. Edited by M. VAN DYKE, W. G. VINCENTI and J. V. WEHAUSEN. Annual Reviews, Inc., 1970. 462 pp. $10.00. (1971) (0)
An Introduction to Magneto-fluid Mechanics. By V. C. A. FERRARO and C. PLUMPTON. Oxford University Press, 1961. 181 pp. 25s. (1962) (0)
Topological Approach to Problems of Vortex Dynamics and Turbulence (2008) (0)
10016 African Institute for Mathematical Sciences: a Capacity Building Initiative in Which IUTAM Has an Active Involvement (2004) (0)
surface . I . Stability and the gyroscopic approximation Dynamics of an axisymmetric body spinning on a horizontal (2004) (0)
Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences: 359 (1784) (2001) (0)
AM06-KN-002 Corner Flow: a Classical Problem with a New Twist (2006) (0)
PROFESSOR D. HOWELL PEREGRINE 30 December 1938 – 20 March 2007 (2007) (0)
Fluid dynamics of flapping wings associated with change of domain topology (2012) (0)
The Laminar Boundary Layer Equations. N. Curie. Clarendon Press, Oxford, 1962. 162 pp. 30s. (1963) (0)
29aXA-2 軸対称理想 MHD の contour dynamics と厳密解 (2003) (0)
Rotating Fluids in Geophysics: P.H. Roberts and A.M. Soward (Editors). Academic Press, London, 1978, 550 pp., £17.50, U.S.$40.50, ISBN 0-12-589650-6 (1981) (0)
Vortex shedding from rotating wings (2013) (0)
Relaxation to Steady Vortical Flows – And Knots in the Quark-Gluon Plasma (2013) (0)
A Tribute to Arthur Shercliff (1984) (0)
FOREWORD: Turbulence Colloquium Marseille 2011 (2013) (0)
HELl CITY IN LAMINAR AND TURBULENT FLOW (1992) (0)
Magnetohydrodynamic Flow and Turbulence: a report on the Fifth Beer-Sheva Seminar (1988) (0)
Flow induced by the rotation of two circular cylinders in a viscous fluid. (2020) (0)

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