Division of Physical and Mathematical Sciences: Recent submissions
Now showing items 401-420 of 902
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Dynamics of Glass-Forming Liquids and Shear-Induced Grain Growth in Dense Colloidal Suspensions
(2018-06-19)The work presented in this doctoral thesis employs colloidal suspensions to explore key open problems in condensed matter physics. Colloidal suspensions, along with gels, polymers, emulsions and liquid crystals belong to ... -
Finite Element Analysis of Interior and Boundary Control Problems
(2018-06-18)The primary goal of this thesis is to study finite element based a priori and a posteriori error estimates of optimal control problems of various kinds governed by linear elliptic PDEs (partial differential equations) of ... -
A Probing System with Replaceable Tips for Three Dimensional Nano-Metrology
(2018-06-14)With increase in the number of three dimensional (3-D) nanometer-scale objects that are being either fabricated or studied, there is a need to accurately characterize their geometry. While the Atomic force microscope (AFM) ... -
Studies of Ultracold Bosons in Optical Lattices using Strong-Coupling Expansions
(2018-06-14)Cold bosonic atoms trapped in optical lattices formed by standing wave interference patterns of multiple laser beams constitute excellent emulators of models of strongly correlated quantum systems of bosons. In this thesis, ... -
The Pick-Nevanlinna Interpolation Problem : Complex-analytic Methods in Special Domains
(2018-06-13)The Pick–Nevanlinna interpolation problem, in its fullest generality, is as follows: Given domains D1, D2 in complex Euclidean spaces, and a set f¹ zi; wiº : 1 i N g D1 D2, where zi are distinct and N 2 š+, N 2, find ... -
Unfolding Operators in Various Oscillatory Domains : Homogenization of Optimal Control Problems
(2018-06-13)In this thesis, we study homogenization of optimal control problems in various oscillatory domains. Specifically, we consider four types of domains given in Figure 1 below. Figure 1: Oscillating Domains The thesis is ... -
Homogeneous Operators
(2018-06-13)A bounded operator T on a complex separable Hilbert space is said to be homogeneous if '(T ) is unitarily equivalent to T for all ' in M•ob, where M•ob is the M•obius group. A complete description of all homogeneous weighted ... -
Driven Granular and Soft-matter : Fluctuation Relations, Flocking and Oscillatory Sedimentation
(2018-06-11)Active matter refers to systems driven out of thermal equilibrium by the uptake and dissipation of energy directly at the level of the individual constituents, which then undergo systematic movement in a direction decided ... -
Minimal Crystallizations of 3- and 4- Manifolds
(2018-06-11)A simplicial cell complex K is the face poset of a regular CW complex W such that the boundary complex of each cell is isomorphic to the boundary complex of a simplex of same dimension. If a topological space X is homeomorphic ... -
Growth and Studies of Phase Transitions in Multifunctional Perovskite Materials
(2018-06-11)Crystal growth and characterization of few multifunctional materials with perovskite (ABX3) structure are discussed in this thesis. Efforts were made to modify the magnetic and electric behaviour of these materials by ... -
Lp-Asymptotics of Fourier Transform Of Fractal Measures
(2018-06-08)One of the basic questions in harmonic analysis is to study the decay properties of the Fourier transform of measures or distributions supported on thin sets in Rn. When the support is a smooth enough manifold, an almost ... -
Dynamical Properties of Families of Holomorphic Mappings
(2018-06-08)Thesis Abstract In the first part of the thesis, we study some dynamical properties of skew products of H´enon maps of C2 that are fibered over a compact metric space M . The problem reduces to understanding the dynamical ... -
The Green's Function, the Bergman Kernel and Quadrature Domains in Cn
(2018-06-08)In the first part of this thesis, we prove two density theorems for quadrature domains in Cn ,n≥2. It is shown that quadrature domains are dense in the class of all product domains of the form D×Ωwhere D⊂Cn−1 is a smoothly ... -
Multi-scale Modelling of HLA Diversity and Its Effect on Cytotoxic Immune Responses in Influenza H1N1 Infection
(2018-06-06)Cytotoxic T-lymphocytes (CTLs) are important components of the adaptive immune system and function by scanning the intracellular environment so as to detect and de-stroy infected cells. CTL responses play a major role in ... -
Study of Evolved Stellar Populations in the Magellanic Clouds
(2018-06-05)The Magellanic Clouds (MCs) consist of a pair of galaxies, the Large Magellanic Cloud (LMC) and the Small Magellanic Cloud (SMC), which are located at a distance of 50 kpc and 60 kpc, with stellar masses of 1010 M and 109 ... -
Structural Studies on Thymidylate Kinase : Evolution, Specificity and Catalysis
(2018-05-30)Thymidylate kinase (TMK) is a key enzyme for DNA synthesis. It occurs at the junction of the de novo and salvage pathways for the synthesis of deoxythymidine triphosphate (dTTP). Its inhibition affects cell viability, ... -
Aspects of Higher Spin Theories Conformal Field Theories and Holography
(2018-05-30)This dissertation consist of three parts. The first part of the thesis is devoted to the study of gravity and higher spin gauge theories in 2+1 dimensions. We construct cosmological so-lutions of higher spin gravity in 2+1 ... -
The Caratheodory-Fejer Interpolation Problems and the Von-Neumann inequality
(2018-05-30)The validity of the von-Neumann inequality for commuting $n$ - tuples of $3\times 3$ matrices remains open for $n\geq 3$. We give a partial answer to this question, which is used to obtain a necessary condition for the ... -
Weighted Norm Inequalities for Weyl Multipliers and Hermite Pseudo-Multipliers
(2018-05-30)In this thesis we deal with two problems in harmonic analysis. In the first problem we discuss weighted norm inequalities for Weyl multipliers satisfying Mauceri’s condition. As an application, we prove certain multiplier ...