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Higher symmetries of the Schrödinger operator in Newton–Cartan geometry
(ElsevierJournal of Geometry and Physics, 2016-06-17)
We establish several relationships between the non-relativistic conformal symmetries of Newton–Cartan geometry and the Schrödinger equation. In particular we discuss the algebra sch(d) of vector fields conformally-preserving ...
Preconditioned ADMM with nonlinear operator constraint
(SpringerIFIP Advances in Information and Communication Technology, 2016)
We are presenting a modification of the well-known Alternating Direction Method of Multipliers (ADMM) algorithm with additional preconditioning that aims at solving convex optimisation problems with nonlinear operator ...
Micro-Tug-of-War: A Selective Control Mechanism for Magnetic Swimmers
(American Physical SocietyPhysical Review Applied, 2016-06-30)
One of the aspirations for artificial microswimmers is their application in noninvasive medicine. For any practical use, adequate mechanisms enabling control of multiple artificial swimmers will be of paramount importance. ...
Spectral study of the Laplace-Beltrami operator arising in the problem of acoustic wave scattering by a quarter-plane
(Oxford University PressQuarterly Journal of Mechanics and Applied Mathematics, 2016)
The Laplace-Beltrami operator on a sphere with a cut arises when considering
the problem of wave scattering by a quarter-plane. Recent methods developed
for sound-soft (Dirichlet) and sound-hard (Neumann) quarter-planes ...
Flagellar flows around bacterial swarms
(American Physical SocietyPhysical Review Fluids, 2016)
Flagellated bacteria on nutrient-rich substrates can differentiate into a swarming state and move in dense swarms across surfaces. A recent experiment measured the flow in the fluid around an Escherichia coli swarm (Wu, ...
Phoretic flow induced by asymmetric confinement
(Cambridge University PressJournal of Fluid Mechanics, 2016-07-25)
Internal phoretic flows due to the interactions of solid boundaries with local chemical gradients may be created using chemical patterning. Alternatively, we demonstrate here that internal flows might also be induced by ...
Higher spins from Nambu-Chern-Simons theory
(SpringerCommunications in Mathematical Physics, 2016)
We propose a new theory of higher spin gravity in three spacetime dimensions. This is defined by what we will call a Nambu-Chern-Simons (NCS) action; this is to a Nambu 3-algebra as an ordinary Chern-Simons (CS) action is ...
Generalised nonlinear stability of stratified shear flows: adjoint-based optimisation, Koopman modes, and reduced models
(Department of Applied Mathematics and Theoretical Physics, University of CambridgeUniversity of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsSt John's College, 2016-10-04)
In this thesis I investigate a number of problems in the nonlinear stability of density stratified plane Couette flow. I begin by describing the history of transient growth phenomena, and in particular the recent application ...
On the orbital evolution of a pair of giant planets in mean motion resonance
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2016-07-04)
Pairs of extrasolar giant planets in a mean motion commensurability are common with 2:1 resonance occurring most frequently. Disc–planet interaction provides a mechanism for their origin. However, the time-scale on which ...
Spontaneous Wave Generation at Strongly Strained Density Fronts
(American Meteorological SocietyJournal of Physical Oceanography, 2016-06-23)
A simple analytical model is presented describing the spontaneous generation of inertia–gravity waves at density fronts subjected to strong horizontal strain rates. The model considers fronts of arbitrary horizontal and ...