Browsing Division of Physical and Mathematical Sciences by Title
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Numerical Simulation Of Converging Nonlinear Wavefronts
(20130124) 
Numerical Studies of Problems in Turbulence : 1) Fluid Films with Polymer Additives; 2) Fluid Films with Inertial and Elliptical Particles; 3) Scaled Vorticity Moments in Three and Twodimensional Turbulence
(20171130)In this thesis we study a variety of problems in fluid turbulence, principally in two dimensions. A summary of the main results of our studies is given below; we indicate the Chapters in which we present these. In Chapter ... 
Numerical studies of shock oscillations and MRI turbulence in accretion
In this thesis, we study two different aspects of accretion flows (i) quasiperiodic oscillations (QPOs) seen in the light curves of Xray binaries as a possible consequence of shock oscillations, (ii) global 3D ideal ... 
Numerical Studies Of Slow Dynamics And Glass Transition In Model Liquids
(20091216)An increase in the cooperativity in the motion of particles and a growth of a suitably defined dynamical correlation length seem to be generic features exhibited by all liquids upon supercooling. These features have been ... 
Numerical Studies of Spiral and Scrollwave Dynamics in Cardiac Tissue: (1) Spiral and ScrollWave Turbulence; (2) Spiral and ScrollWave dynamics in Anatomically and Physiologically realistic Mathematical Models for Canine and Human Ventricular Tissue
A summary of the main results of our studies is given below. In most of our work, we use three mathematical models for cardiac myocytes, namely, the Panfilov model, the AlievPanfilov model, and the HundRudyDynamic ... 
Numerical Study of Directionality of Ion Ejection In Axially Symmetric Ion Traps
(20130213)In the normal operation of quadrupole ion trap mass spectrometers, the trapped ions are ejected symmetrically through both the upper (detector) and lower(source) endcap electrodes during mass selective boundary ejection ... 
Numerical Study Of Regularization Methods For Elliptic Cauchy Problems
(20110630)Cauchy problems for elliptic partial differential equations arise in many important applications, such as, cardiography, nondestructive testing, heat transfer, sonic boom produced by a maneuvering aerofoil, etc. Elliptic ... 
Numerical Study Of The Complex Dynamics Of Sheared Nematogenic Fluids
(20130717)In this thesis, we have tried to explain the regular and irregular(chaotic) dynamics of worm like micellar solutions on applying shear, through a detailed study of the equation of motion of a nematic order parameter tensor ... 
Observational Aspects Of Core Collapse Supernovae
(20131017)The discovery of several bright supernovae (SNe) in recent years has evoked a great deal of interest in these objects. The study of these objects are of importance not only as probes to the end stages of stellar evolution, ... 
Observational Constraints on Global 21cm Signal from the Epoch of Reionization
One of the most promising probes of Cosmic Dawn (CD) and Epoch of Reionization (EoR) is the restframe global 21cm signal of neutral hydrogen (HI) produced by the intergalactic medium (IGM) prior to the end of the EoR ... 
Observational study of CoreCollapse Supernovae
The advent of dedicated surveys for studying transient events has invoked a great interest in the study of supernovae (SNe). The rate of discovery of SNe has hence gone up tenfold relinquishing their diversity. SNe not ... 
On an ODE Associated to the Ricci Flow
(20180418)We discuss two topics in this talk. First we study compact Ricciflat four dimensional manifolds without boundary and obtain point wise restrictions on curvature( not involving global quantities such as volume and diameter) ... 
On certain invariant measures for correspondences, their analysis, and an application to recurrence
The aim of this dissertation is to analyse a certain class of dynamically interesting mea sures arising in holomorphic dynamics that goes beyond the classical framework of maps. We study measures associated with semigroups ... 
On Critical Points of Random Polynomials and Spectrum of Certain Products of Random Matrices
(20180730)In the first part of this thesis, we study critical points of random polynomials. We choose two deterministic sequences of complex numbers, whose empirical measures converge to the same probability measure in complex plane. ... 
On Hypergeometric solutions of Feynman integrals using MellinBarnes Integrals with Applications
Experimental measurements of physical observables in particle colliders rely on highprecision theoretical calculations to validate the predictions of any theoretical model and detect signals of new physics. These theoretical ... 
On The Analytic Theory Of Explosions
(20120531) 
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 nonhomogeneous ... 
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 ...