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On some nonlinear partial differential equations for classical and quantum many body systems
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsClare Hall, 2012-11-13)
This thesis deals with problems arising in the study of nonlinear partial differential equations arising from many-body problems. It is divided into two parts: The first part concerns the derivation of a nonlinear diffusion ...
Turbulence ingestion noise of open rotors
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2012-04-10)
Renewed interest in open rotor aeroengines, due to their fuel efficiency, has driven renewed interest in all aspects of the noise they generate. Noise due to the ingestion of distorted atmospheric turbulence, known as ...
Dynamics of quasi-two-dimensional turbulent jets
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsChurchill CollegeBP Institute, 2012-11-13)
The study of quasi-two-dimensional turbulent jets is relevant to chemical reactors, the coking process in oil refinement, as well as rivers flowing into lakes or oceans. In the event of a spillage of pollutants into a ...
Differential systems, moving frames, structure-preserving submersions and geometrical problems in physics
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2012-07-03)
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 ...
Aspects of higher dimensional Einstein theory and M-theory
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2012-10-09)
This thesis contains two main themes. The first is Einstein's theory of general relativity in higher dimensions, while the second is M-theory.
The first part of the thesis concerns the use of classification techniques ...
Freeze fracturing of elastic porous media
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsInstitute of Theoretical Geophysics, 2012-06-12)
The physical motivation behind this thesis is the phenomenon of fracturing of rocks and other porous media due to ice growth inside pre-existing faults and large pores. My aim is to explain the basic physical processes ...
Indices for Supersymmetric Quantum Field Theories in Four Dimensions
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsTrinity Hall, 2012-07-21)
In this thesis, we investigate four dimensional supersymmetric indices. The motivation for studying such objects lies in the physics of Seiberg's electric-magnetic duality in supersymmetric field theories. In the first ...
Thermodynamic and hydrodynamic behaviour of interacting Fermi gases
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2012-01-10)
Fermionic matter is ubiquitous in nature, from the electrons in metals and semiconductors or the neutrons in the inner crust of neutron stars, to gases of fermionic atoms, like 40K or 6Li that can be created and studied ...
On some partial differential equation models in socio-economic contexts - analysis and numerical simulations
(University of CambridgeDepartent of Applied Mathhematics and Theoretical PhysicsTrinity College, 2012-01-10)
This thesis deals with the analysis and numerical simulation of different partial differential equation models arising in socioeconomic sciences. It is divided into two parts: The first part deals with a mean-field price ...
Dynamical instabilities in disc-planet interactions
(University of Cambridge, 2012-01-10)
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 ...