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Anti-self-dual fields and manifolds
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2013-04-30)
In this thesis we study anti–self–duality equations in four and eight dimensions on manifolds of special Riemannian holonomy, among these hyper–Kähler,
Quaternion–Kähler and Spin(7)–manifolds.
We first consider 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. ...
Rotating black droplet
(Journal of High Energy Physics, 2013-08-19)
Designing a more nonlinearly stable laminar flow via boundary manipulation
(Cambridge University PressJournal of Fluid Mechanics, 2013-12-04)
We show how a fully nonlinear variational method can be used to design a more nonlinearly stable laminar shear flow by quantifying the effect of manipulating the boundary conditions of the flow. Using the example of plane ...
Magnetic relaxation, current sheets, and structure formation in an extremely tenuous fluid medium
(IOPScienceThe Astrophysical Journal, 2013-12-03)
The process of relaxation of a unidirectional magnetic field in a highly conducting tenuous fluid medium is considered. Null points of the field play a critical role in this process. During an initial stage of relaxation, ...
AdS flowing black funnels: Stationary AdS black holes with non-Killing horizons and heat transport in the dual CFT
(Classical and Quantum Gravity, 2013-04-07)