## Search

Now showing items 1-10 of 22

#### Analysis of mixed convection in an air filled square cavity.

(2010)

A steady state two-dimensional mixed convection problem in an air filled square unit cavity has been numerically investigated. Two different cases of heating are investigated and compared. In the first case, the bottom ...

#### On the theory and examples of group extensions.

(1999)

The work described in this dissertation was largely motivated by the aim of producing a survey on the theory of group extensions. From the broad scope of the theory of group extensions we single out two aspects to discuss, ...

#### Centre manifold theory with an application in population modelling.

(2009)

There are basically two types of variables in population modelling, global and local variables. The former describes the behavior of the entire population while the latter describes the behavior of individuals within this ...

#### On the theory of the frobenius groups.

(2012)

The Frobenius group is an example of a split extension. In this dissertation we study and describe
the properties and structure of the group. We also describe the properties and structure of the
kernel and complement, ...

#### Evolutionary dynamics of coexisting species.

(2000)

Ever since Maynard-Smith and Price first introduced the concept of an evolutionary stable strategy (ESS) in 1973, there has been a growing amount of work in and around this field. Many new concepts have been introduced, ...

#### Parameters related to fractional domination in graphs.

(1995)

The use of characteristic functions to represent well-known sets in graph theory such as dominating, irredundant, independent, covering and packing sets - leads naturally to fractional versions of these sets and corresponding ...

#### The paradigms of mechanics : a symmetry based approach.

(1996)

An overview of the historical developments of the paradigms of classical mechanics, the free particle, oscillator and the Kepler problem, is given ito (in terms of) their conserved quantities. Next, the orbits of the three ...

#### On free convection and heat transfer in a micropolar fluid flow past a moving semi-infinite plate.

(2012)

In this dissertation we investigate free convective heat and mass transfer in micropolar fluid flow past a moving semi-infinite vertical porous plate in the presence of a magnetic field. The aim of this study was to use ...

#### Noether's theorem and first integrals of ordinary differential equations.

(1997)

The Lie theory of extended groups is a practical tool in the analysis of differential equations, particularly in the construction of solutions. A formalism of the Lie theory is given and contrasted with Noether's theorem ...

#### Ermakov systems : a group theoretic approach.

(1993)

The physical world is, for the most part, modelled using second order ordinary differential equations. The time-dependent simple harmonic oscillator and the Ermakov-Pinney equation (which together form an Ermakov system) ...