Career
- 2017- date: DAMTP, Cambridge University
- 1996-2017: Mathematics, Bristol University
- 1992-1996: Mathematics, Newcastle University
- 1992 : PhD, MIT
Research
General fluid mechanics: the Navier-Stokes equations (nonlinear dynamics, transition and turbulence); geophysical and astrophysical fluid mechanics (e.g. convection; stably stratified flows; tidal, precessional and librational motion of planetary interiors and subsurface oceans; accretion disks);
Selected Publications
- see homepage (www.damtp.cam.ac.uk/user/rrk26)
Publications
Dam break with Coulomb friction: A model for granular slumping?
– Physics of Fluids
(2005)
17,
1
(doi: 10.1063/1.1870592)
A friction factor bound for transitional pipe flow - art. no. 011706
– Physics of Fluids
(2004)
17,
4
(doi: 10.1063/1.1828103)
Bounds on horizontal convection
– Journal of Fluid Mechanics
(2004)
517,
55
(doi: 10.1017/S0022112004000497)
Experimental observation of nonlinear traveling waves in turbulent pipe flow
– Science (New York, N.Y.)
(2004)
305,
1594
(doi: 10.1126/science.1100393)
Exact coherent structures in pipe flow: travelling wave solutions
– Journal of Fluid Mechanics
(2004)
508,
333
(doi: 10.1017/S0022112004009346)
Steady nonlinear waves in diverging channel flow
– Journal of Fluid Mechanics
(2004)
501,
231
(doi: 10.1017/S0022112003007572)
Improved upper bound on the energy dissipation rate in plane Couette flow: the full solution to Busse's problem and the Constantin–Doering–Hopf problem with one-dimensional background field
– Journal of Fluid Mechanics
(2003)
477,
363
(doi: 10.1017/S0022112002003361)
On smoothed turbulent shear flows: Bounds, numerics and stress-reducing additives
– Physics of Fluids
(2003)
15,
78
(doi: 10.1063/1.1524182)
Saturation of electrostatic instability in two-species plasma
– Journal of Plasma Physics
(2002)
68,
87
(doi: 10.1017/s0022377802001861)
Elliptical instability
– Annual Review of Fluid Mechanics
(2002)
34,
83
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