Professor Robert Kerr
Robert KerrProfessor of Mathematics Office: Computer Science 319 |
Teaching Responsibilities 2017/18:
Term 2: MA4H7 Atmospheric Dynamics
Research Interests:
Turbulence, nonlinear PDEs, atmospheric modelling, Quantum Turbulence.
Most relevant recent publications:
R.M. Kerr: 2016 Scaling of Navier-Stokes trefoil reconnection. http://arxiv.org/abs/1610.00398
R.M. Kerr: 2016 Scaling of Navier-Stokes trefoil reconnection. Presentation at: PDEs in Fluid Mechanics, 26-30 September 2016, Warwick EPSRC Symposium on Partial Differential Equations and their Applications
L. García-Gutiérrez, R. M. Kerr, E. Somfai, D. R. J. Singer: 2014. A simplified multi-particle collision dynamics method to simulate microvascular capillary blood flow Submitted to Cardiovascular Research.
C. Rorai, J. Skipper, R.M. Kerr, K.R. Sreenivasan: 2014 Approach and separation of quantum vortices with balanced cores. Accepted J. Fluid Mech. 2016 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. Submitted to J. Fluid Mech.
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