Division of Physical and Mathematical Sciences: Recent submissions
Now showing items 101-120 of 1108
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Unified geometrical framework for gauge symmetries
The effort to discover a conceptual unity among various phenomena in the physical world is one of the major intellectual endeavours of the human mind. It is surprising that Nature apparently supports such an instinct, for, ... -
Superconducting electron pairing in the presence of a radiation field
The thesis discusses superconducting electron pairing in the presence of a radiation field. This phenomenon also called photo-induced superconductivity was studies by kumar and Sinha in 1968. It was found that microwave ... -
Topics in the statistical mechanics of extended objects
In this thesis, we study some aspects of the equilibrium and nonequilibrium statistical mechanics of physical systems with extended spatial degrees of freedom. The specific systems we model are: The Abrikosov fiux lattice ... -
Study Of the Cometary Globules in the Gum Nebula
From our analysis of the measured velocities of cometary globules (CGs), we draw the following conclusions: Kinematic Interpretation The motion of the CGs cannot be explained by a model dominated by galactic rotation, ... -
Study of radio emissions from clusters of galaxies: CD galaxies and the very steep spectrum sources
(a) An important conclusion regarding the probability of radio emission associated with the brightest galaxy in the centre of a cluster containing a VSSS (Very Steep Spectrum Source) can be drawn from the study of Table ... -
Analytic and numerical studies of neural network models of associative memory
In this thesis, we have used analytical and numerical methods to study the behaviour of neural network models for the storage, classification and associative recall of information. In Part A, we have studied a class of ... -
Numerical study of natural convection boundary layer flows
This thesis presents a numerical study of some laminar natural convection boundary layer flows in isothermal and non-isothermal media. It consists of five chapters. The first is an introductory one; the remaining four are ... -
Computations in linear algebra: a new look at residue arithmetic.
The dissertation deals with error-free and approximate computations of some problems in linear algebra, with an emphasis on a modified residue arithmetic developed here. It is divided into five chapters:Chapter 1 The ... -
Boundary element method applied to fluid flow problems
This research work is a study of fluid flow problems by the Boundary (Finite) Element Method. The widely used Finite Element Method has the advantages of its flexibility in choosing the shape and size of the elements, the ... -
Ergodic and adaptive control of markov processes.
We address the problem of controlling two classes of Markov processes, viz., Markov chains and diffusion processes. Our main goal is to minimize a long-run average cost criterion (or ergodic cost criterion) associated with ... -
some nonlinear surface wave propagation problems
This thesis contains the results of investigations of some nonlinear surface wave propagation problems. It is divided into six chapters, of which Chapter I is the general introduction and the concluding remarks constitute ... -
Some results on finite section linear integral operators
This thesis deals mainly with some spectral properties of finite section linear integral operators from L2[0,t]L^2[0,t]L2[0,t] into itself, defined as Ttf(x)=?0tK(x,y)f(y)?dyT_t f(x) = \int_0^t K(x,y) f(y) \, dyTt?f(x)=? ... -
Enumerative considerations of SDR's and latin rectangles
The art of counting is interesting but often 120000103 a difficult task. It requires computational skills^ ' .. ability to recognise similar patterns and a little mastery of general principles and simplification ... -
Some boundary value problems in elasticity with and without magnetic field
In our paper, in order to solve the problem we need the knowledge of three analytic functions 4>(z), and f^(z).. In the case of plane magneto-elasticity we arrive at a homogeneous biharmonic equation, as is the case ... -
Exact analytic solutions for some classes of partial differential equations
Exact solutions of linear partial differential equations with variable coefficients and those of nonlinear partial differential equations are dilEcult to obtain. The present thesis attempts to extend the existing methods ... -
Fredholm determinant and decay properties of eigenvalues of hilbert-schmidt integral operators
In this thesis, some properties of the eigenvalues of Hilbert-Schmidt integral operators (briefly H-S operators) are investigated. This thesis consists of three chapters. In the first two chapters, H-S operators of the ... -
Homogenization of partial differential equations in perforated domain
Theory of homogenization in Partial Differential Equations has a variety of applications in many branches of science. In the present thesis, we study the homogenization of certain boundary value problems in a periodically ... -
Some analytic studies on generalized burgers equations
Thesis Summary: Analysis of Generalized Burgers Equations This thesis analyzes a class of nonlinear parabolic equations known as generalized Burgers equations. The study combines analytical techniques with numerical ... -
Finite section convolution integral operators structure of resolvent and solution of first kind equations
This thesis investigates the structure of the solutions of Fredholm integral equations of the first and second kinds with convolution kernels on finite intervals and some of its applications. The thesis is divided into ... -
On the reconstruction problems in graph theory
One of the most difficult unsolved problems in graph theory is the Reconstruction Conjecture. Harary even referred to problems like the Four Colour Problem (now a theorem), the Hamiltonian Circuit Problem, and the ...