13 citations · 14 across the 6 of their papers we have counts for
3 papers · 1 filter
On nonlinear transitions, minimal seeds and exact solutions for the geodynamo
Calum S. Skene, Florence Marcotte, Steven M. Tobias
Nearly fifty years ago, Roberts (1978) postulated that Earth's magnetic field, which is generated by turbulent motions of liquid metal in its outer core, likely results from a subc…
Weakly nonlinear analysis of the onset of convection in rotating spherical shells
Calum S. Skene, Steven M. Tobias
A weakly nonlinear study is numerically conducted to determine the behaviour near the onset of convection in rotating spherical shells. The mathematical and numerical procedure is…
A robust, discrete-gradient descent procedure for optimisation with time-dependent PDE and norm constraints
Paul M Mannix, Calum S Skene, Didier Auroux +1
Many physical questions in fluid dynamics can be recast in terms of norm constrained optimisation problems; which in-turn, can be further recast as unconstrained problems on spheri…