Selected Publications

I list here a selection of my publications, numbered according to the complete list, where pdf's are available. In the following subpages, I provide some background and comments on each of these publications.  

1960s

 

1. Moffatt, H.K. 1961 The amplification of a weak applied magnetic field by turbulence in fluids of moderate conductivity. J.Fluid Mech. 11, 625-635.

 

7. Moffatt, H.K. 1964  Viscous and resistive eddies near a sharp corner. J. Fluid Mech. 18, 1-18.

 

10. Moffatt, H.K. 1967  Interaction of turbulence with strong wind shear. In Atmosphere Turbulence and Radio Wave Propagation, Ed. A.M. Yaglom & V.I. Tatarski, (Nauka, Moscow), pp 139-156.

 

14. Moffatt, H.K. 1969  The degree of knottedness of tangled vortex lines. J. Fluid Mech. 35, 117-129.

 

1970s

 

16. Moffatt, H.K. 1970 Turbulent dynamo action at low magnetic Reynolds number. J. Fluid Mech. 41, 435-452.

 

19. Moffatt, H.K. 1972  An approach to a dynamic theory of dynamo action in a rotating conducting fluid. J. Fluid Mech. 53, 385-399.

 

26. Moffatt, H.K. 1977  Behaviour of a viscous film on the outer surface of a rotating cylinder. J. de Mécanique 16, 651-673.

 

28. Moffatt, H.K. 1978 Magnetic field generation in electrically conducting fluids. (CUP 343 plus x pp).

1980s

 

50. Moffatt, H.K. & Proctor, M.R.E. 1985  Topological constraints associated with fast dynamo action. J. Fluid Mech. 154, 493-507.

 

53. Moffatt, H.K. 1985  Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology Part 1, Fundamentals. J. Fluid Mech. 159, 359-378.

 

55. Moffatt, H.K. 1986  Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 2, Stability considerations. J. Fluid Mech. 166, 359-378.​

1990s

68. Bajer, K. & Moffatt, H.K. 1990 On a class of steady confined Stokes flows with chaotic streamlines. J. Fluid Mech. 212, 337-364.

 

77. Moffatt, H.K. 1990 The energy spectrum of knots and links. Nature 347, 367-369.

 

82. Jeong, J.-T. & Moffatt, H.K. 1992 Free surface cusps associated with flow at low Reynolds number. J. Fluid Mech. 241, 1-22.

 

89. Moffatt, H.K. & Ricca, R.L. 1992 Helicity and the Calugareanu Invariant. Proc. R. Soc. Lond. A  439, 411-429.

 

96. Moffatt, H.K., Kida, S. & Ohkitani, K. 1994  Stretched vortices: the sinews of turbulence; high Reynolds number asymptotics.  J. Fluid Mech. 259, 241-264.

2000-2009

 

120. Moffatt, H.K. 2000 Euler's disk and its finite-time singularity.  Nature 404, 833-834.

 

130. Moffatt, H.K. & Shimomura, Y. 2002  Spinning eggs: a paradox resolved.  Nature 416, 385-386.

 

150. Moffatt, H.K. & Tokieda, T. 2008 Celt reversals: a prototype of chiral dynamics. Proc. Roy. Soc. Edin. A, 138, 361-368.

 

2010-2019

156. Goldstein, R.E., Moffatt, H.K., Pesci, A.I. & Ricca, R.L. 2010  Soap-film Möbius strip changes topology with a twist. Proc. Nat. Acad. Sc. USA, 107, 21979-21984.

 

176.  Moffatt, H. K. & Shuckburgh, E. (ed.) 2011 Environmental Hazards: The Fluid Dynamics and Geophysics of Extreme Events. World Scientific.

178. Kolomenskiy, D., Moffatt, H. K., Farge, M. & Schneider, K. 2011a The Lighthill-Weis-Fogh clap-fling-sweep mechanism revisited. J. Fluid Mech. 676, 572-606.

186. Moffatt, P.G. & Moffatt, H.K. 2014 Giffen goods and their reflection property. The Manchester School, 82, 129-142.. 

 

210. Ilin, K. I., Moffatt, H. K. & Vladimirov, V. A. 2017 Dynamics of a rolling robot. Proc. Nat. Acad. Sci. 114 (49), 12858-12863.

 

216. Moffatt, H. K. & Dormy, E. 2019 Self-Exciting Fluid Dynamos. Cambridge Texts in Applied Mathematics, CUP, 520+xviii pp.

 

217. Moffatt, H. K. & Kimura, Y. 2019a Towards a finite-time singularity of the Navier-Stokes equations. Part 1. Derivation and analysis of dynamical system. J. Fluid Mech. 861, 930-967. 

2020-

222. Moffatt, H. K. 2021b Some topological aspects of fluid dynamics. J. Fluid Mech. 914, P1,1- P1,56. 

 

224. Moffatt, H. K., Guest, H. & Huppert, H. E. 2021 Spreading or contraction of viscous drops between plates: single, multiple or annular drops. J. Fluid Mech. 925, A26.