Browsing Masters Degrees (Applied Mathematics) by Title
Now showing items 2847 of 59

Exact solutions for relativistic models.
(2011)In this thesis we study spherically symmetric spacetimes related to the Einstein field equations. We consider only neutral matter and apply the Einstein field equations with isotropic pressures. Our object is to model ... 
Giant Radio Halos and Relics in ACTPol Clusters.
(2017)Galaxy clusters are the largest gravitationallybound structures in the universe. They act as the largest astrophysical laboratories in the universe and are extremely interesting objects to study as they are at crossroads ... 
Gravitational lensing of the cosmic microwave background: techniques and applications.
(2016)We have entered an era of precision cosmology, in which the parameters of the standard cosmological model have been well constrained by observations. The cosmic microwave background (CMB) has played a vital role in ... 
Group analysis of equations arising in embedding theory.
(2010)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 ... 
Identifying and modeling the dynamics of a core cancer subnetwork.
(2011)Many recent studies have shown that the initiation of human cancer is due to the malfunction of some genes at the Rcheckpoint during the G1toS transition of the cell cycle. Identifying and modeling the dynamics of ... 
Impact of exogenous reinfection on TB infection in a genetically susceptible population.
(2013)In this study we investigated the impact of exogenous reinfection on genetically resistant and genetically sensitive sub populations. We qualitatively analysed the dynamics of TB by assuming that TB is transmitted in two ... 
Matrices of graphs and designs with emphasis on their integral eigenpair balance characteristic.
(2014)The interplay between graphs and designs is well researched. In this dissertation we connect designs and graphs entirely through their associated matrices – the incidence matrix for designs and the adjacency matrix for ... 
Matrix models of population theory.
(2013)Nonnegative matrices arise naturally in population models. In this thesis, we first study Perron Frobenius theory of nonnegative irreducible matrices. We use this theory to investigate the asymptotic behaviour ... 
Modelling the response of cytotoxic tlymphocytes in controlling solid tumour invasion.
(2013)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 ... 
New class of LRS spacetimes with simultaneous rotation and spatial twist.
(2016)In this thesis we study Locally Rotationally Symmetric (LRS) spacetimes in which there exists a unique preferred spatial direction at each point. The conventional 1+3 decomposition of spacetime is extended to a 1+1+2 ... 
New classes of exact solutions for charged perfect fluids.
(2012)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 ... 
New classes of exact solutions in relativistic astrophysics.
(2015)The description of highly compact objects in a general relativistic setting is a problem of present research. The relativistic e ects arising from the presence of the electric eld and anisotropy are included in our ... 
New realistic solutions for charged matter with an equation of state.
The purpose of this thesis is to provide new exact solutions to the EinsteinMaxwell system which are physically reasonable. We assume that the spacetime is static and spherically symmetric with a charged anisotropic ... 
New solutions for nonlinear perfect fluids.
(2016)We investigate the Einstein system that governs the evolution of uncharged shearfree spherically symmetric fluids. First we present the Einstein equations for the static spherically symmetric gravitational fields in ... 
Nonclassical solutions of hyperbolic conservation laws.
This dissertation studies the nonclassical shock waves which appears as limits of certain type diffusivedispersive regularisation to hyperbolic of conservation laws. Such shocks occur very often when the ux function ... 
Numerical solution of the KleinGordon equation in an unbounded domain.
(2018)Abstract available in PDF file. 
On Stephani universes.
(1992)In this dissertation we study conformal symmetries in the Stephani universe which is a generalisation of the RobertsonWalker models. The kinematics and dynamics of the Stephani universe are discussed. The conformal ... 
On the integrity of domination in graphs.
(1993)This thesis deals with an investigation of the integrity of domination in a.graph, i.e., the extent to which domination properties of a graph are preserved if the graph is altered by the deletion of vertices or edges or ... 
On the physical viability of horizonfree collapse.
(2014)The socalled Cosmic Censorship Conjecture has drawn widespread attention amongst astrophysicists and particle physicists. In particular, the endstate of gravitational collapse of a bounded matter distribution is a ...