Browsing Doctoral Degrees (Applied Mathematics) by Subject "ThesesApplied mathematics."
Now showing items 120 of 23

2generations of the sporadic simple groups.
(1997)A group G is said to be 2generated if G = (x, y), for some nontrivial elements x, y E G. In this thesis we investigate three special types of 2generations of the sporadic simple groups. A group G is a (l, rn, n )generated ... 
Age structured models of mathematical epidemiology.
(2013)We consider a mathematical model which describes the dynamics for the spread of a directly transmitted disease in an isolated population with age structure, in an invariant habitat, where all ... 
Analysis of shearfree spherically symmetric charged relativistic fluids.
(2011)We study the evolution of shearfree spherically symmetric charged fluids in general relativity. This requires the analysis of the coupled EinsteinMaxwell system of equations. Within this framework, the master field ... 
Applications of embedding theory in higher dimensional general relativity.
(2012)The study of embeddings is applicable and signicant to higher dimensional theories of our universe, highenergy physics and classical general relativity. In this thesis we investigate local and global isometric ... 
Applications of Lie symmetries to gravitating fluids.
(2011)This thesis is concerned with the application of Lie's group theoretic method to the Einstein field equations in order to find new exact solutions. We analyse the nonlinear partial differential equation which arises ... 
Asymptotic analysis of singularly perturbed dynamical systems.
(2011)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 ... 
Bounds on distancebased topological indices in graphs.
(2012)This thesis details the results of investigations into bounds on some distancebased topological indices. The thesis consists of six chapters. In the first chapter we define the standard graph theory concepts, and ... 
Computational study of high order numerical schemes for fluidstructure interaction in gas dynamics.
(2013)Solving the fluidstructure interaction (FSI) problems is particularly challenging. This is because the coupling of the fluid and structure may require different solvers in different points of the solution domain, and with ... 
Differential equations for relativistic radiating stars.
(2013)We consider radiating spherical stars in general relativity when they are conformally flat, geodesic with shear, and accelerating, expanding and shearing. We study the junction conditions relating the pressure to the ... 
Exact models of compact stars with equations of state.
(2013)We study exact solutions to the EinsteinMaxwell system of equations and relate them to compact objects. It is well known that there are substantial analytic difficulties in the modelling of selfgravitating, static fluid ... 
Generalized travelling wave solutions for a microscopic chemotaxis model.
(2014)In biology cell migration is one of the most critical processes, for it is decisive in the mechanisms leading to the beginning of life. The collective migration of cells via wave motion plays a key role in understanding ... 
Group theoretic approach to heat conducting gravitating systems.
(2013)We study shearfree heat conducting spherically symmetric gravitating fluids defined in four and higher dimensional spacetimes. We analyse models that are both uncharged and charged via the pressure isotropy condition ... 
Mathematical modeling of cancer treatments and the role of the immune system response to tumor invasion.
(2015)Despite the success of traditional cancer treatments, a definite cure to several cancers does not exist. Further, the traditional cancer treatments are highly toxic and have a relatively low efficacy. Current research ... 
New models for quark stars with charge and anisotropy.
(2014)We find new classes of exact solutions for the EinsteinMaxwell field equations. The solutions are obtained by considering charged anisotropic matter with a linear equation of state consistent with quark stars. The field ... 
Noncircularity of beams in the CMB polarization power spectrum estimation.
(2013)Precise measurements of the Cosmic Microwave Background (CMB) anisotropies have been one of the foremost concerns in modern cosmology as it provides valuable information on the cosmology of the Universe. However, an ... 
On new and improved seminumerical techniques for solving nonlinear fluid flow problems.
(2012)Most real world phenomena is modeled by ordinary and/or partial differential equations. Most of these equations are highly nonlinear and exact solutions are not always possible. Exact solutions always give a good account ... 
On singularly perturbed problems and exchange of stabilities.
(2015)Singular perturbation theory has been used for about a century to describe models displaying different timescales, that arise in applied sciences; particularly, models displaying two timescales, namely slow time and fast ... 
Partial exchangeability and related topics.
(1991)Partial exchangeability is the fundamental building block in the subjective approach to the probability of multitype sequences which replaces the independence concept of the objective theory. The aim of this thesis is ... 
Relativistic radiating stars with generalised atmospheres.
(2010)In this dissertation we construct radiating models for dense compact stars in relativistic astrophysics. We first utilise the standard Santos (1985) junction condition to model Euclidean stars. By making use of the ... 
Thermal evolution of radiation spheres undergoing dissipative gravitational collapse.
(2014)In this study we investigate the physics of a relativistic radiating star undergoing dissipative collapse in the form of a radial heat flux. Our treatment clearly demonstrates how the presence of shear affects the collapse ...