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Rayleigh-Taylor mixing: confinement by stratification and geometry
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsSelwyn College, 2010-03-16)
Rayleigh-Taylor instability has been an area of active research in fluid dynamics for
the last twenty years, but relatively little attention has been paid to the dynamics
of problems where Rayleigh-Taylor instability ...
Initial and boundary value problems in two and three dimensions
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsTrinity College, 2010-04-13)
This thesis: (a) presents the solution of several boundary value problems (BVPs) for the Laplace and the modified Helmholtz
equations in the interior of an equilateral triangle; (b) presents the solution of the heat ...
Several applications of a model for dense granular flows
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2011-03-15)
This dissertation describes efforts to evaluate a recently proposed continuum model for
the dense flow of dry granular materials (Jop, Forterre & Pouliquen, 2006, Nature, 441,
167-192). The model, based upon a generalisation ...
The effects of stochastic forces on the evolution of planetary systems and Saturn's rings
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2010-10-12)
The increasing number of discovered extra-solar planets opens a new opportunity for studies of the formation of planetary systems. Their diversity keeps challenging the long-standing theories which were based on data ...
Instabilities and transport in magnetized plasmas
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsDarwin College, 2011-02-08)
In a magnetized plasma, naturally occurring pressure anisotropies facilitate in- stabilities that are expected to modify the transport properties of the system. In this thesis we examine two such instabilities and, where ...
Spreading of viscous fluids and granular materials on slopes
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2010-11-16)
Materials can flow down a slope in a wide range of geophysical and industrial contexts, including lava flows on volcanoes and thin films on coated surfaces. The aim of my research is to provide quantitative insight into ...
The solar tachocline: a self-consistent model of magnetic confinement
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsQueens' College, 2011-01-11)
In this dissertation we consider the dynamics of the solar interior, with particular focus on angular momentum balance and magnetic field confinement within the tachocline.
In Part I we review current knowledge of the ...
Modified Fourier expansions: theory, construction and applications
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2010-10-12)
Modified Fourier expansions present an alternative to more standard algorithms for the approximation of nonperiodic functions in bounded domains. This thesis addresses the theory of such expansions, their effective ...
Classical and thermodynamic stability of black holes
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsHughes Hall, 2010-07-06)
We consider the stability of black holes within both classical general relativity and the semiclassical thermodynamic description. In particular, we study linearised perturbations and their contribution to the gravitational ...