Browsing Mathematics (MA) by Title
Now showing items 112-131 of 262
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Matchings Between Point Processes
(2014-06-20) -
Mathematical models of some physiological system
This thesis presents some theoretical investigations on certain problems concerning the respiratory, excretory, and circulatory systems in human physiology, from a fluid mechanics point of view. It consists of an introductory ... -
Mathematical theory of the propagation of multidimensional shock and nonlinear waves
This thesis embodies the results of our investigation on a mathematical discussion of hyperbolic nonlinear waves under the high frequency approximation. It is divided into four chapters, of which Chapter I is the introduction ... -
Mechanising knot Theory
(2018-01-31)Mechanisation of Mathematics refers to use of computers to generate or check proofs in Mathematics. It involves translation of relevant mathematical theories from one system of logic to another, to render these theories ... -
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 ... -
Mixed Norm Estimates in Dunkl Setting and Chaotic Behaviour of Heat Semigroups
(2018-01-03)This thesis is divided into three parts. In the first part we study mixed norm estimates for Riesz transforms associated with various differential operators. First we prove the mixed norm estimates for the Riesz transforms ... -
The Momentum Construction Method for Higher Extremal Kähler and Conical Higher cscK Metrics
This thesis consists of two parts. In both the parts we study two new notions of canonical K\"ahler metrics on compact K\"ahler manifolds which were introduced by Pingali, viz. `higher extremal K\"ahler metric' and ... -
The monopole-dimer model and eccentricities for Cartesian product of graphs
This thesis comprises two main parts. The details of the two parts are as follows: The first part of the thesis deals with the monopole-dimer model. The dimer (resp. monomer-dimer) model deals with weighted enumeration of ... -
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 ... -
A Multiscale Modeling Study of Iron Homeostasis in Mycrobacterium Tuberculosis
(2018-05-10)Mycobacterium tuberculosis (M.tb), the causative agent of tuberculosis (TB), has remained the largest killer among infectious diseases for over a century. The increasing emergence of drug resistant varieties such as the ... -
Near Optimal Non-malleable Codes and Leakage Resilient Secret Sharing Schemes
A well-studied class of attacks on cryptosystems called "side-channel attacks", stems from the additional access that an adversary can get due to the susceptibility of the hardware on which the cryptosystem (e.g., digital ... -
Nega-base computer arithemetic-theory and applications
This dissertation presents a detailed study of negative base number representation—the theory as well as the development of suitable algorithms for building the arithmetic unit of a digital computer. The idea of negative ... -
New coarse grained molecular mechanics for proteins dynamics and Its application on dynamics-function correlation
Dynamics information of proteins can be used for many purposes, ranging from evolutionary studies to biophysical analysis and drug-design processes, etc. Long timescale and compact dynamics information are obtained from ... -
Nodal sets of random functions
This thesis is devoted to the study of nodal sets of random functions. The random functions and the specific aspect of their nodalset that we study fall into two broad categories: nodal component count of Gaussian Laplace ... -
Nonlinear wave propagation in muln dimensions
This thesis consists of four chapters including a chapter on general introduction and deals with some problems in nonlinear wave propagation in multi-dimensions. The problems are: nonlinear wave propagation in a two-dimensional ... -
Normal Spectrum of a Subnormal Operator
(2018-03-21)Let H be a separable Hilbert space over the complex field. The class S := {N|M : N is normal on H and M is an invariant subspace for Ng of subnormal operators. This notion was introduced by Halmos. The minimal normal ... -
Novel Upwind and Central Schemes for Various Hyperbolic Systems
(2018-05-21)The class of hyperbolic conservation laws model the phenomena of non-linear wave propagation, including the presence and propagation of discontinuities and expansion waves. Such nonlinear systems can generate discontinuities ... -
Numerical and analytic studies of generalised Burgers equations
Numerical and Analytic Studies of Generalised Burgers Equations The Burgers equation ut+uux=?uxx,???>0u_t + u u_x = \delta u_{xx}, \; \delta > 0ut?+uux?=?uxx?,?>0 is a nonlinear partial differential equation representing ... -
Numerical investigations of unsteady incompressible boundary - layer flows
This thesis presents a numerical study of some problems in unsteady, laminar incompressible boundary-layer theory. It is divided into five chapters, the first being a general introduction to boundary-layer theory with ... -
Numerical Methods for Elliptic Variational Inequalities in Higher Dimensions
The main emphasis of this thesis is on developing and implementing linear and quadratic finite element methods for 3-dimensional (3D) elliptic obstacle problems. The study consists of a priori and a posteriori error ...