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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 ...
Spiky strings and the AdS/CFT correspondence
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2011-10-11)
In this dissertation, we explore some aspects of semiclassical type IIB string
theory on AdS3 × S1 and on pure AdS3 in the limit of large angular momentum
S.
We first focus on the integrability technique known as ...
A simple Bayesian estimate of direct RNAi gene regulation events from differential gene expression profiles
(2011-05-20)
Abstract Background Microarrays are commonly used to investigate both the therapeutic potential and functional effects of RNA interfering (RNAi) oligonucleotides such as microRNA (miRNA) and small interfering RNA (siRNA). ...
The impact and rupture of a water-filled balloon on a rigid surface
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2014-06-10)
The dropping of a water-filled latex balloon onto a flat, rigid surface is an experiment that is known and has been performed by many, but on which there is no existing published work. High-speed images taken of the process ...
Quantum information, Bell inequalities and the no-signalling principle
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2014-02-04)
This PhD thesis contains a general introduction and three main chapters. Chapter 2 investigates Bell inequalities that generalize the CHSH and Braunstein-Caves inequalities. Chapter 3 shows a derivation of an upper bound ...
The flow of rivers into lakes: Experiments and models
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2014-06-12)
This study considers the motion of river water flowing into a lake. The study has two parts: field observations of an interflowing river in Lake Iseo (Italy); and laboratory experiments on basins fed by an underflow. In ...
Nonlinear and non-modal stability of structures evolving in shear flows
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2014-04-08)
This thesis explores a range of stability techniques applied to fluid structures that develop in various constant density flows. In particular, the stability of nonlinear structures which develop in rotating plane Couette ...
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 ...