Robert Kerr Professor of Mathematics Office:   Phone: Email: Robert dot Kerr at warwick dot ac dot uk

Research Interests:
Turbulence, nonlinear PDEs, atmospheric modelling, Quantum Turbulence.

Most relevant recent publications:

R.M. Kerr: 2023 Sensitivity of trefoil vortex knots to the initial vorticity profile. Phys. Rev. Fluids 8, 074701.

H. J. Bae, J. D. Gibbon, R. M. Kerr, and A. Lozano-Duran: 2018 Regularity diagnostics applied to a turbulent boundary layer. CTR-2018-summer-program XVI, 247. BaeGibbonKerrLozanoCTR2018

R.M. Kerr: 2018 Topology of interacting coiled vortex rings. J. Fluid Mech. 854, R2.

R.M. Kerr: 2018 Enstrophy and circulation scaling for Navier-Stokes reconnection. J. Fluid Mech. 839, R2.  

R.M. Kerr: 2018 Trefoil knot timescales for reconnection and helicity. Fluid Dynamics Res. 50, 011422.
http://iopscience.iop.org/article/10.1088/1873-7005/aa8163

L. Garc�a-Guti�rrez, R. M. Kerr, E. Somfai, D. R. J. Singer: 2014. A simplified multi-particle collision dynamics method to simulate microvascular capillary blood flow Manuscript.

C. Rorai, J. Skipper, R.M. Kerr, K.R. Sreenivasan: 2016 Approach and separation of quantised vortices with balanced cores. J. Fluid Mech. 808, 641-667. http://arxiv.org/abs/1410.1259. Paper

M.A. Kopera, R.M. Kerr, H.M. Blackburn, D. Barkley: 2014 Direct numerical simulation of turbulent flow over a backward-facing step. Manuscript.

J.D Gibbon, D. Donzis, A. Gupta, R.M. Kerr, R. Pandit, D. Vincenzi: 2014 Regimes of nonlinear depletion and regularity in the 3D Navier-Stokes equations. Nonlinearity, 27, 1-19, 2014. arXiv:1402.1080

R. M. Kerr: 2013 Bounds for Euler from vorticity moments and line divergence . J. Fluid Mech. 729, R2.

R.M Kerr: 2013 Swirling, turbulent vortex rings formed from a chain reaction of reconnection events. Phys. Fluids 25, 065101 (2013); http://dx.doi.org/10.1063/1.4807060. See also:Incompressible hydrodynamic turbulence from a chain reaction of vortex reconnection events. arXiv:1212.3829v2

D. Donzis, J.D Gibbon, A. Gupta, R.M. Kerr, R. Pandit, D. Vincenzi: 2013 Vorticity moments in four numerical simulations of the 3D Navier-Stokes equations. J. Fluid Mech. 732, 316. arXiv:1302.1768v1

R.M. Kerr: 2012 Dissipation and enstrophy statistics in turbulence: Are the simulations and mathematics converging?
J. Fluid Mech. 700, 1-4.

R.M. Kerr, M. Oliver: 2011 The Ever-Elusive Blowup in the Mathematical Description of Fluids. In An Invitation to Mathematics: From Competitions to Research, D. Schleicher and M. Lackmann (eds.), pp. 137--164, Springer-Verlag, Berlin. Proceedings of the 50th International Mathematics Olympiad, Bremen, Germany, August 2009.

R.M. Kerr 2011: Vortex stretching as a mechanism for quantum kinetic energy decay, Phys. Rev. Lett. 106, 224501.

M.D.Bustamante, R.M.Kerr. 3D Euler about a 2D Symmetry Plane. Physica D 237, 1912 (2008).

D.D.Holm, R.M Kerr. Helicity in the formation of turbulence. Phys. Fluidspublications.pdf 19, 025101 (2007).

J.D.Gibbon, D.D.Holm, R.M.Kerr, I Roulstone 2006: Quarternions and particle dynamics in the Euler fluid equations. Nonlinearity 19, 1969 -1983

R.M.Kerr. Velocity and scaling of collapsing Euler vortices. Physics of Fluids.17(7), (2005), 11 pages

R.M.Kerr. Energy budget in Rayleigh-Benard convection.Phys Review Letters 87, (2001)

Publications as .pdfpublications.pdf

Teaching at Warwick Teaching at Warwick

 Recent presentations:

To: Fluid Dynamics Research Centre, University of Warwick 11 February 2015. Topic: Quantum Turbulence.

Research grants:

Leverhulme, Anti-paralell Vortex in three dimensional (01/04/2006 - 31/03/2009)

ONR, Environmental Turbulence Workshop (02/03/2006 - 17/03/2007)

EPSRC Generating High Resolution DNS for LES Comparisons (1.10.2005 - 30.9.2009)

For more information and further publications see Robert Kerr's homepage or his Expertise Profile