Rich Kerswell

Centre for Mathematical Sciences
University of Cambridge
Wilberforce Rd 
Cambridge CB3 0WA, U.K.

Tel: +44-1223-766349

Research Interests

Recent Meetings


Kerswell, R.R. ``The instability of precessing flow'' Geophys. Astrophys. Fluid Dynam. 72, 107-144, 1993.
Kerswell, R.R. ``Tidal excitation of hydromagnetic waves and their damping in the Earth'' J. Fluid Mech. 274, 219-241, 1994.
Kerswell, R.R. ``Upper bounds on general dissipation functionals in turbulent shear flows: revisiting the `efficiency' functional'' J. Fluid Mech. 461, 239-275, 2002.
Wedin, H. & Kerswell, R.R. ``Exact coherent structures in pipe flow: travelling wave solutions'' (colour version) J. Fluid Mech. 508, 333-371, 2004.
Kerswell, R.R. & Tutty, O.R. ``Recurrence of travelling waves in transitional pipe flow'' (colour version) J. Fluid Mech. 584, 69-102, 2007.
Pringle, C.C.T., Duguet, Y. & Kerswell, R.R. ``Highly symmetric travelling waves in pipe flow''(colour version) Phil. Trans. Roy. Soc. A 367, 457-472, 2009 (TW videos).
Pringle, C.C.T. & Kerswell, R.R. ``Using nonlinear transient growth to construct the minimal seed for shear flow turbulence'' Phys. Rev. Lett. 105, 154502, 2010.
Chandler, G.J. & Kerswell, R.R. ``Simple invariant solutions embedded in 2D Kolmogorov turbulence'' J. Fluid Mech. 722, 554-595, 2013.
Sweeney, H., Kerswell, R.R. & Mullin, T. ``Rayleigh-Taylor instability in a finite cylinder: linear stability analysis and long-time fingering solutions'' J. Fluid Mech. 734, 338-362, 2013 (Rayleigh-Taylor codes available on request).
Kerswell, R.R., Pringle, C.C.T. and Willis, A.P. ``An optimisation approach for analysing nonlinear stability with transition to turbulence in fluids as an exemplar'' Rep. Prog. Phys. 77, 085901, 2014.
Kerswell, R.R. ``Instability driven by boundary inflow across shear: a way to circumvent Rayleigh's stability criterion in accretion disks?'' J. Fluid Mech. 784, 619-663, 2015.
Olvera, D. & Kerswell, R.R. ``Optimising energy growth as a tool for finding exact coherent structures'' Phys. Rev. Fluids 2 , 083902, 2017 (featured in Advances in Engineering).

Kerswell, R.R. ``Nonlinear nonmodal stability theory'' Ann. Rev. Fluid Mech. 50, 319-345, 2018.
Lecoanet, D. & Kerswell, R.R. ``Connection between nonlinear energy optimization and instantons'' Phys. Rev. E 97, 012212, 2018.
Page, J. & Kerswell, R.R. ``Koopman analysis of Burgers equation'' Phys. Rev. Fluids 3, 071901(R), 2018.
Wilson, A. & Kerswell, R.R. ``Can libration maintain Enceladus's ocean?'' Earth Planet. Sci. Lett. 500, 41-46, 2018.
Marensi, E., Willis, A.P. & Kerswell, R.R. ``Stabilisation and drag reduction of pipe flow by flattening the base profile'' J. Fluid Mech. 863, 850-875, 2019.
Lucas, D., Caulfield, C.P. & Kerswell, R.R. ``Layer formation and relaminarisation in plane Couette flow with spanwise stratification'' J. Fluid Mech. 868, 97-118, 2019.
Page, J. & Kerswell, R.R. ``Koopman mode expansions between simple invariant solutions'' J. Fluid Mech. 879, 1-27, 2019.
Parker, J.P., Caulfield, C.P. & Kerswell, R.R. ``Kelvin-Helmholtz billows above Richardson number 1/4'' J. Fluid Mech. 879, R1, 2019.
Langham, J, Eaves, T.S. & Kerswell, R.R. ``Stably stratified exact coherent structures in shear flow: the effect of Prandtl number'' J. Fluid Mech. 882, A10, 2020.
Page, J. & Kerswell, R.R. ``Searching turbulence for periodic orbits with dynamic mode decomposition''J. Fluid Mech. 886, A28, 2020.
Ding, Z. & Kerswell, R.R. ``Exhausting the background approach for bounding the heat transport in Rayleigh-Benard convection'' J. Fluid Mech. 889, A33, 2020.
Parker, J.P., Caulfield, C.P. & Kerswell, R.R. ``The viscous Holmboe instability for smooth shear and density profiles'' J. Fluid Mech. 896, A14, 2020.
Marensi, E., Ding, Z., Willis, A.P. & Kerswell, R.R. ``Designing a minimal baffle to destabilise turbulence in pipe flow'' J. Fluid Mech. 900 , A31, 2020.
Ding, Z., Marensi, E., Willis, A.P. & Kerswell, R.R. ``Stabilising pipe flow by a baffle designed using energy stability'' J. Fluid Mech. 902, A11, 2020.
Page, J., Dubief, Y. & Kerswell, R.R. ``Exact travelling wave solutions in viscoelastic channel flow'' Phys. Rev. Lett. 125, 154501, 2020.
Dubief, Y., Page, J., Kerswell, R.R., Terrapon, V.E. & Steinberg, V. ``A first coherent structure in elasto-inertial turbulence''.
Page, J., Brenner, M.P. & Kerswell, R.R. ``Revealing the state space of turbulence using machine learning''.


Ashley Willis, EPSRC-funded 2005-2008 (now Senior Lecturer at Sheffield University)
Yohann Duguet
, Marie-Curie Fellow 2006-2008 (now CNRS, LIMSI, Paris)
Laurent Lacaze, Marie-Curie Fellow 2006-2008 (now CNRS, IMFT, Toulouse)
Mark Woodhouse, Renishaw & North Bristol NHS Trust funded 2007-2009 (now NERC Knowledge Exchange Fellow, Bristol University)
Gary Chandler, EPSRC-funded 2010-2011 (now Motorsport engineering)
Dan Lucas, EPSRC-funded 2012-2013 (now Lecturer at Keele University)
Colin Leclercq, EPSRC-funded 2014-2016 (now Ingenieur de Recherche, ONERA, Meudon)
Jacob Page, EPSRC-funded 2016-2018 (now Lecturer in Applied Mathematics, Edinburgh University)
Jake Langham, EPSRC Doctoral Prize 2017-2019 (now a postdoc with Prof Andrew Hogg at Bristol)
Zijing Ding, EPSRC-funded 2017-2020 (now Assistant Professor at the Harbin Institute of Technology, China)
Hadi Zolfaghari SNSF-funded & Marie-Curie Fellow 2020-2023
Miles Couchman DAMTP-funded 2020-2022

Graduate students:

Darren Mason 1995-1999 (now software engineering).
Denise Cooper (née Barnes) 1996-2000 (now senior software engineer at Radan Computational Ltd, Bath, in CAD).
Robert Mason 1998-2001 (now Serco Assurance, Dorchester, in scientific consultancy).
Stephen Plasting 2000-2004 (followed by a postdoc at Scripps Oceanographic Institute, San Diego with Prof. W.R. Young; now finance).
Hakan Wedin 2001-2004 (followed by postdocs at Kyoto University with Prof. M. Nagata and now Genoa University with Prof. A. Bottaro).
Chris Pringle 2005-2009 (followed by postdocs at Reading and Nottingham Universities, now Senior Lecturer at Coventry University).
Helen Sweeney 2008-2011 (followed by training with Teach First).
Samuel Rabin 2009-2013, co-supervised with Prof. Colm Caulfield (now finance).
Matthew Chantry 2010-2014 (then to Paris with Prof. L. Tuckerman and now Oxford with Prof. T. Palmer).
Daniel Olvera 2012-2016 (followed by a postdoc with Dr Chris Pringle at Coventry University).
Jeremy Parker 2017-2020, co-supervised with Prof. Colm Caulfield (followed by a postdoc with Prof. Tobias Schneider at EPFL from Nov 2020).
Vilda Markeviciute 2018-
Gergely Buza 2020- (Harding Fellow).
Will Oxley 2020-, co-supervised with Prof. Gordon Ogilvie.
Joe Holey 2020- (CMI).