
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
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
Chaotic dynamics in a strained rotating flow: a precessing plane fluid layer
– Journal of Fluid Mechanics
(2002)
471,
71
(doi: 10.1017/S0022112002001994)
Upper bounds on general dissipation functionals in turbulent shear flows: revisiting the ‘efficiency’ functional
– Journal of Fluid Mechanics
(2002)
461,
239
(doi: 10.1017/s0022112002008303)
Bounds on dissipation for Navier-Stokes flow with Kolmogorov forcing
– Physica D: Nonlinear Phenomena
(2001)
158,
105
New results in the variational approach to turbulent Boussinesq convection
– Physics of Fluids
(2001)
13,
192
(doi: 10.1063/1.1327295)
Maximal mixing rate in turbulent stably stratified Couette flow
– Physics of Fluids
(2001)
13,
894
(doi: 10.1063/1.1351856)
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