Now showing items 1-10 of 114
Spatial modelling of fire dynamics in Savanna ecosystems.
Fire is used in the management of ecosystems worldwide because it is a relatively inexpensive means of manipulating thousands of hectares of vegetation. Deciding how, where and when to apply fire depends primarily on the ...
Exact solutions for perfect fluids conformal to a Petrov type D spacetime.
Abstract is available from the print copy.
Developing an integrated decision support system for an oil refinery.
This thesis considers the problem of residue upgrading operations in an oil refinery. Visbreaking is a residue-upgrading process that improves profitability of a refinery. The economics of converting the heavy residue ...
Double-diffusive convection flow in porous media with cross-diffusion.
In this thesis we study double-diffusive convection and cross-diffusion effects in flow through porous media. Fluid flows in various flow geometries are investigated and the governing equations are solved analytically ...
Modelling the response of cytotoxic t-lymphocytes in controlling solid tumour invasion.
We present mathematical models to study the mechanism of interaction of tumour infiltrating cytotoxic lymphocytes (TICLs) with tumour cells. We focus on the phase spaces of the systems and the nature of the solutions for ...
Credit derivative valuation and parameter estimation for CIR and Vasicek-type models.
A credit default swap is a contract that ensures protection against losses occurring due to a default event of an certain entity. It is crucial to know how default should be modelled for valuation or estimating of ...
New classes of exact solutions for charged perfect fluids.
We investigate techniques to generate new classes of exact solutions to the Einstein- Maxwell field equations which represent the gravitational field of charged perfect fluid spherically symmetric distributions of ...
Asymptotic analysis of singularly perturbed dynamical systems.
According to the needs, real systems can be modeled at various level of resolution. It can be detailed interactions at the individual level (or at microscopic level) or a sample of the system (or at mesoscopic level) and ...
Degree theory in nonlinear functional analysis.
The objective of this dissertation is to expand on the proofs and concepts of Degree Theory, dealt with in chapters 1 and 2 of Deimling , to make it more readable and accessible to anyone who is interested in the ...
Transport on network structures.
This thesis is dedicated to the study of flows on a network. In the first part of the work, we describe notation and give the necessary results from graph theory and operator theory that will be used in the rest of ...