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
Bounds on dissipation for Navier-Stokes flow with Kolmogorov forcing
– Physica D Nonlinear Phenomena
(2001)
158,
105
Maximal mixing rate in turbulent stably stratified Couette flow
– Physics of Fluids
(2001)
13,
894
(doi: 10.1063/1.1351856)
New results in the variational approach to turbulent Boussinesq convection
– Physics of Fluids
(2001)
13,
192
(doi: 10.1063/1.1327295)
New results in rotating Hagen-Poiseuille flow
– Journal of Fluid Mechanics
(2000)
417,
103
(doi: 10.1017/S0022112000008909)
Lowering dissipation bounds for turbulent shear flows using a smoothness constraint
– Physics Letters Section A General Atomic and Solid State Physics
(2000)
272,
230
The nonlinear development of three-dimensional disturbances at hyperbolic stagnation points: A model of the braid region in mixing layers
– Physics of Fluids
(2000)
12,
1032
(doi: 10.1063/1.870358)
Nonlinear evolution of the elliptical instability: an example of inertial wave breakdown
– Journal of Fluid Mechanics
(1999)
396,
73
(doi: 10.1017/S0022112099005959)
Variational principle for the Navier-Stokes equations
– Physical Review E
(1999)
59,
5482
(doi: 10.1103/physreve.59.5482)
Secondary instabilities in rapidly rotating fluids: Inertial wave breakdown
– Journal of Fluid Mechanics
(1999)
382,
283
(doi: 10.1017/S0022112098003954)
Variational principle for the Navier-Stokes equations
– Physical Review E Statistical Physics Plasmas Fluids and Related Interdisciplinary Topics
(1999)
59,
5482
(doi: 10.1103/PhysRevE.59.5482)
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