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Pattern-forming in non-equilibrium quantum systems and geometrical models of matter
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2014-01-07)
This thesis is divided in two parts. The first one is devoted to the dynamics of polariton condensates, with particular attention to their pattern-forming capabilities. In many configurations of physical interest, the ...
Jets, mixing, and topography in the Southern Ocean
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsClare College, 2013-11-12)
The Southern Ocean holds a unique place in our planet. It is home to the world’s longest and strongest ocean current, the Antarctic Circumpolar Current (or ACC), which is formed of jets (alternating velocity structures), ...
Elastocapillarity: adhesion and large deformations of thin sheets
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2013-09-03)
This thesis is concerned with the deformation and adhesion of thin elastic sheets that come into contact with an underlying substrate. The focus of this work is on the interplay between material and geometric properties ...
Modeling and numerics for two partial differential equation systems arising from nanoscale physics
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2013-04-30)
This thesis focuses on the mathematical analysis of two partial differential equation systems. Consistent improvement of mathematical computation allows more and more questions to be addressed in the form of numerical ...
An experimental and theoretical study of the dynamics of grounding lines
(Cambridge University Press, 2013-07-01)
We present an experimental and theoretical study of a thin, viscous fluid layer that flows radially under gravity from a point source into a denser inviscid fluid layer of uniform depth above a rigid horizontal surface. ...
Shearing waves and the MRI dynamo in stratified accretion discs
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2014-01-07)
Accretion discs efficiently transport angular momentum by a wide variety of as yet imperfectly understood mechanisms, with profound implications for the disc lifetime and planet formation. We discuss two different methods ...
Quantitative assessment of computational models for retinotopic map formation
(WileyDevelopmental Neurobiology, 2014-11-14)
Molecular and activity-based cues
acting together are thought to guide retinal axons to their
terminal sites in vertebrate optic tectum or superior colliculus
(SC) to form an ordered map of connections. The
details of ...
Asymptotic approximations for the sound generated by aerofoils in unsteady subsonic flows
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsChurchill College, 2014-10-07)
This thesis considers the sound generated by unsteady perturbations interacting with
solid aerofoils in background steady flows, in an attempt to further develop analytic models for the noise generated by blades within ...
CLEANING OF VISCOUS DROPS ON A FLAT INCLINED SURFACE USING GRAVITY-DRIVEN FILM FLOWS
(ElsevierFood and Bioproducts Processing, 2014-10-07)
We investigate the fluid mechanics of cleaning viscous drops attached to a flat inclined
surface using thin gravity-driven film flows. We focus on the case where the drop cannot be
detached from the surface by the mechanical ...
Secondary instability and tertiary states in rotating plane Couette flow
(Cambridge University PressJournal of Fluid Mechanics, 2014-11-14)
Recent experimental studies have shown rich transition behaviour in rotating plane Couette
ow (RPCF). In this paper we study the transition in supercritical RPCF theoretically
by determination of equilibrium and periodic ...