Now showing items 1-10 of 44
Exact solutions for perfect fluids conformal to a Petrov type D spacetime.
Abstract is available from the print copy.
Group analysis of equations arising in embedding theory.
Embedding theories are concerned with the embedding of a lower dimensional manifold (dim = n, say) into a higher dimensional one (usually dim = n+1, but not necessarily so). We are concerned with the particular case of ...
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 ...
Shear-free models for relativistic fluids with heat flow and pressure isotropy.
We model the interior dynamics of a relativistic radiating fuid in a nonstatic spher- ically symmetric spacetime. The matter distribution takes the form of an imperfect fuid with a nonvanishing radially directed heat ...
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 ...
Southern African Large Telescope observations of Sunyaev-Zel'dovich effect selected clusters from the Atacama Cosmology Telescope.
We present Southern African Large Telescope (SALT) follow-up observations of seven massive clusters detected by the Atacama Cosmology Telescope (ACT) using the Sunyaev-Zel’dovich effect (SZE). We conducted multi-object ...
Solution generating algorithms in general relativity.
We conduct a comprehensive investigative review of solution generating algorithms for the Einstein field equations governing the gravitational behaviour of an isolated neutral static spherical distribution of perfect ...
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 ...
Double-diffusive convection flow in a porous medium saturated with a nanofluid.
In this work, we studied heat and mass transfer in a nanofluid flow over a stretching sheet. Fluid flow in different flow geometries was studied and a co-ordinate transformation was used to transform the governing equations ...