Browsing Division of Physical and Mathematical Sciences by Title
Now showing items 764-783 of 1368
-
On existence and regularity of some complex Hessian equations on Kahler and transverse Kahler manifolds
The thesis consists of two parts. In the first part of the thesis, we classify the convergence behaviour of rotationally symmetric solutions to the modified J-flow on the blow-up of the complex projective space at a ... -
On Fluidic Plasmonics: Harnessing Liquid Metals for Tunable Nanophotonics
Low melting point metals, in particular, Ga and its alloys, have been used in electronics applications extensively, while their photonic applications in the visible region (2-3eV photon energy) of the electromagnetic ... -
On Hypergeometric solutions of Feynman integrals using Mellin-Barnes Integrals with Applications
Experimental measurements of physical observables in particle colliders rely on high-precision theoretical calculations to validate the predictions of any theoretical model and detect signals of new physics. These theoretical ... -
On numerical solution of first order system of hyperbolic equations
This thesis is based on the investigations carried out by the author on the numerical solution of first-order systems of hyperbolic equations. The thesis has been organized into four chapters. The first chapter is introductory ... -
On regular subalgebras of symmetrizable Kac-Moody algebras and related combinatorics
In this thesis, we study two aspects of Kac-Moody algebras. One is to understand the subalgebras that can be embedded inside a Kac-Moody algebra as subalgebras generated by real root vectors. The other one is to explicitly ... -
On some canonical metrics on holomorphic vector bundles over Kahler manifolds
This thesis consists of two parts. In the first part, we introduce coupled Kähler- Einstein and Hermitian-Yang-Mills equations. It is shown that these equations have an interpretation in terms of a moment map. We identify ... -
On some structural problems in the theory of infinite-dimensional Lie (super)algebras
In this thesis, we examine two facets of infinite-dimensional Lie algebras. The first part focuses on the classification of $\pi$-systems in rank 2 Kac-Moody Lie algebras. In one of his seminal works, Dynkin classified the ... -
On The Analytic Theory Of Explosions
(2012-05-31)The physical problem that we study in this thesis may be stated as follows A perfect idealized gas at high pressure is held stationary by a thn spherical diaphragm of umt radius, and is surrounded by a second perfect gas ... -
On the electrical transport of weak topological insulators and Weyl semimetals
Topological insulators have garnered enormous amount of attention owing to their unique topological properties. The surface states protected by the topology of the system hold limitless potentials including topological ... -
On the Geometry and Operator Theory of the Bidisc and the Symmetrized Bidisc
This work is concerned with the geometric and operator theoretic aspects of the bidisc and the symmetrized bidisc. First we have focused on the geometry of these two do- mains. The symmetrized bidisc, a non-homogeneous ... -
On the Kobayashi geometry of domains
In this thesis we study questions broadly related to the Kobayashi (pseudo)distance and (pseudo)metric on domains in ℂn. Specifically, we study the following subjects: Estimates for holomorphic images of subsets in convex ... -
On The Magnetic And Magnetotransport Studies Of Cobaltates And Superconductor/ Ferromagnet Heterostructures
(2011-06-30)The study of the co-existence of singlet superconductivity and ferromagnetism in bulk materials has been a long standing and intriguing problem in condensed matter physics since the superconductivity and ferromagnetism are ... -
On the Nature Of Propagating MHD Waves In The Solar Atmosphere
(2014-10-15)One of the most persistent problem in solar physics is the identification of the mechanism that heats the solar corona and accelerates the fast solar wind. Magneto-hydrodynamic (MHD)waves play a crucial role in heating of ... -
On The Peak-To-Average-Power-Ratio Of Affine Linear Codes
(2008-01-25)Employing an error control code is one of the techniques to reduce the Peak-to-Average Power Ratio (PAPR) in an Orthogonal Frequency Division Multiplexing system; a well known class of such codes being the cosets of ... -
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 ... -
On the Stability of Certain Riemannian Functionals
(2018-03-06)Given a compact smooth manifold Mn without boundary and n ≥ 3, the Lp-norm of the curvature tensor, defines a Riemannian functional on the space of Riemannian metrics with unit volume M1. Consider ... -
On The Structure of Proper Holomorphic Mappings
(2017-09-28)The aim of this dissertation is to give explicit descriptions of the set of proper holomorphic mappings between two complex manifolds with reasonable restrictions on the domain and target spaces. Without any restrictions, ... -
On two complex Hessian equations and convergence of corresponding flows
This thesis consists of three parts. Two important complex Hessian equations are studied on certain compact K\"ahler manifolds from different perspectives. The first one is the {\em J-equation} introduced independently by ... -
On-board Failure Diagnostics and Failure Prediction of High Power White Light Emitting Diodes Used in Safety Critical Applications
Light Emitting Diodes (LEDs) have become a focus of global lighting community owing to their long service life, low energy consumption and environmental friendliness. The ever-increasing use of LEDs in many applications ...