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Variability of black-hole accretion discs: a theoretical study
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsTrinity College, 2010-06-08)
Accretion discs are fluid-dynamical entities which surround many black holes. Observations
reveal that these systems exhibit variability on a range of time scales. This thesis investigates phenomena occurring in black-hole ...
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 ...
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 ...
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 ...
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 ...
High-throughput analysis of candidate imprinted genes and allele-specific gene expression in the human term placenta
(2010-04-19)
Abstract Background Imprinted genes show expression from one parental allele only and are important for development and behaviour. This extreme mode of allelic imbalance has been described for approximately 56 human genes. ...
Data analysis issues for allele-specific expression using Illumina's GoldenGate assay
(2010-05-26)
Abstract Background High-throughput measurement of allele-specific expression (ASE) is a relatively new and exciting application area for array-based technologies. In this paper, we explore several data sets which make use ...