Rich Kerswell

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

Tel: +44-1223-766349

Research Interests

Recent Meetings


Archive (selected):
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.

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.
Page, J., Dubief, Y. & Kerswell, R.R. ``Exact travelling wave solutions in viscoelastic channel flow'' Phys. Rev. Lett. 125, 154501, 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.
Parker, J.P., Caulfield, C.P. & Kerswell, R.R. ``The effects of Prandtl number on the nonlinear dynamics of Kelvin-Helmholtz instability in two dimensions'' J. Fluid Mech. 915, A37, 2021.
Page, J., Brenner, M.P. & Kerswell, R.R. ``Revealing the state space of turbulence using machine learning'' Phys. Rev. Fluids 6, 034402, 2021.
Markeviciute, V.K. & Kerswell, R.R. ``Degeneracy of turbulent states in two-dimensional channel flow'' J. Fluid Mech. 917, A57, 2021.
Dubief, Y., Page, J., Kerswell, R.R., Terrapon, V.E. & Steinberg, V. ``A first coherent structure in elasto-inertial turbulence''.
Buza, G., Page, J. & Kerswell, R.R. ``Weakly nonlinear analysis of viscoelastic instability in channel flow for finite and vanishing Reynolds number''


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) (genius)
Hadi Zolfaghari SNSF-funded & Marie-Curie Fellow 2020-2023
Miles Couchman DAMTP-funded (with C.P. Caulfield) 2020-2022
Lu Zhu ERC-funded (with P.F. Linden) 2021-2023
Miguel Beneitez, EPSRC-funded (with J. Page, Edinburgh) 2021-2024

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 W.R. Young; now finance).
Hakan Wedin 2001-2004 (followed by postdocs at Kyoto University with M. Nagata and now Genoa University with 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 C. Caulfield (now finance).
Matthew Chantry 2010-2014 (then to Paris with L. Tuckerman and now Oxford with T. Palmer).
Daniel Olvera 2012-2016 (followed by a postdoc with Chris Pringle at Coventry University).
Jeremy Parker 2017-2020, co-supervised with C. Caulfield (followed by a postdoc with T. Schneider at EPFL from Nov 2020).
Vilda Markeviciute 2018- (EPSRC)
Will Oxley 2020- (EPSRC), co-supervised with G. Ogilvie.
Gergely Buza 2020- (Harding Fellow).
Joe Holey 2020- (CMI). co-supervised with J. Page.
Ira Shokar 2021- (AI4ER), co-supervised with P. Haynes.
Rami Cassia 2021- (CMI).