Browsing Theses  Applied Mathematics and Theoretical Physics by Title
Now showing items 120 of 88

The acoustics of curved and lined cylindrical ducts with mean flow
(20071023)This thesis considers linear perturbations to the steady flow of a compressible inviscid perfect gas along a cylindrical or annular duct. Particular consideration is given to the model of the duct boundary, and to the ... 
An experimental study of the spread of buoyant water into a rotating environment
(20170501)This thesis examines previously unresolved issues regarding the fluid dynamics of the spread of buoyant water into a rotating environment. We focus in particular on the role that finite potential vorticity and background ... 
Analytic properties of transition amplitudes
(19621207) 
Antiselfdual fields and manifolds
(20130430)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 ... 
The application of automated perturbation theory to lattice QCD
(20111108)Predictions of heavy quark parameters are an integral component of precision tests of the Standard Model of particle physics. Experimental measurements of electroweak processes involving heavy hadrons provide stringent ... 
Applications of Numerical Relativity Beyond Astrophysics
(Department of Applied Mathematics and Theoretical Physics, University of Cambridge, 2017)Numerical relativity has proven to be a successful and robust tool for nonperturbative studies of gravitational phenomena in the highly dynamical and/or nonlinear regime. Perhaps the most prominent achievement in the ... 
Aspects of fluid dynamics and the fluid/gravity correspondence
(20170901)This thesis considers various extensions to the fluid/gravity correspondence as well as problems fundamental to the study of fluid dynamics. The fluid/gravity correspondence is a map between the solutions of the NavierStokes ... 
Aspects of higher dimensional Einstein theory and Mtheory
(20121009)This thesis contains two main themes. The first is Einstein's theory of general relativity in higher dimensions, while the second is Mtheory. The first part of the thesis concerns the use of classification techniques ... 
Astrophysical tests of modified gravity
(20141007)Einstein's theory of general relativity has been the accepted theory of gravity for nearly a century but how well have we really tested it? The laws of gravity have been probed in our solar system to extremely high precision ... 
Asymptotic approximations for the sound generated by aerofoils in unsteady subsonic flows
(20141007)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 ... 
Bending and buckling of a falling viscous thread
(20101012) 
BPS Approaches to Anyons, Quantum Hall States and Quantum Gravity
(20171003)We study three types of theories, using supersymmetry and ideas from string theory as tools to gain understanding of systems of more general interest. Firstly, we introduce nonrelativistic ChernSimonsmatter field ... 
Classical and thermodynamic stability of black holes
(20100706)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 ... 
Constrained dynamics and higher derivative systems in modified gravity
(20150609)In this thesis, higher derivative theories and constrained dynamics are investigated in detail. In the first part of the thesis, we discuss how the Ostrogradski instability emerges in nondegenerate higher derivative ... 
The convective desalination of sea ice
(20140701)This thesis aims to improve our understanding of the fundamental processes affecting the growth of sea ice in the polar oceans in order to improve climate models. Newly formed sea ice contains a significant amount of salt ... 
Differential systems, moving frames, structurepreserving submersions and geometrical problems in physics
(20120703)The present work applies the theories of exterior differential systems, method of equivalence and moving frames to the study of geometrical problems arising in physics, especially the class of problems that can be described ... 
Discrete gravitational approaches to cosmology
(20150630)Exact solutions to the Einstein field equations are notoriously difficult to find. Most known solutions describe systems with unrealistically high degrees of symmetry. A notable example is the FLRW metric underlying ... 
Dynamical and radiative processes in the Upper Troposphere/Lower Stratosphere
(Department of Applied Mathematics and Theoretical Physics, University of Cambridge, 20160628)The overall aim of this thesis is to gain a better understanding of certain key attributes and processes in the Upper Troposphere/Lower Stratosphere (UTLS). This work involves exploring the interactions between radiation ... 
Dynamical instabilities in discplanet interactions
(20120110)Protoplanetary discs can be dynamically unstable due to structure induced by an embedded giant planet. In this thesis, I discuss the stability of such systems and explore the consequence of instability on planetary ...