Mathematics (MA)
Recent Submissions
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Huygens Method of Construction of Weakly Nonlinear Wavefronts and Shockfronts with application to Hyperbolic Caustics
This thesis embodies the results of investigations of the effect of nonlinearity on the propagation of weakly nonlinear and arbitrarily curved wavefronts and shockfronts. It is classified into six chapters, of which Chapter ... -
Analysis and numerical approximation of conservation laws with discontinuous
This thesis deals with an analytical as well as numerical study of conservation laws with discontinuous coefficients. We restrict ourselves to the case of single conservation laws and in one space dimension. The conservation ... -
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 ... -
Optimal control, Differential games and quasivaritional inequalities
In this thesis, we study value functions of a class of optimal control and differential game problems which satisfy certain quasivariational inequalities (QVI). We study the smoothness properties of the value functions and ... -
Some aspects of the Kobayashi and Caratheodory metrics on pseudoconvex domains
Abstract not available -
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 ... -
A Study of Convergence, Quasi-Optimality, and Error Analysis of Adaptive Finite Element Methods for a class of PDEs
The central objective of this thesis is to carry out a rigorous analysis of finite element methods for second-order linear elliptic PDEs and for a variety of optimal control problems governed by second-order linear elliptic ... -
Numerical studies of unsteady boundary layer flow problems
This thesis presents the results of numerical investigations on certain unsteady laminar incompressible boundary?layer flow problems. It consists of an introductory chapter and four main chapters. The introductory chapter ... -
Flow in pipes of uniform and non-uniform cross-sections with physiological applications
Laminar flow in pipes and channels with uniform and non-uniform cross-sections plays an important role in many engineering and physiological flow problems. Flow of blood through catheterised and stenosed (constricted) blood ... -
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 ... -
Numerical studies of some laminar boundry layer flows using finite difference methods
This thesis presents some investigations on certain problems in laminar incompressible and compressible boundary layers using finite?difference methods. It consists of an introductory chapter and three main chapters. Each ... -
Unsteady laminar boundary layer studies through finite difference methods
This thesis embodies a study of some problems in unsteady laminar compressible and incompressible boundary layer theory. The thesis is divided into five chapters. Each chapter contains a brief survey of the literature relevant ... -
ome boundary value problems for helmholtz equation arising in diffraction theory
In recent years, the problem of wave diffraction by semi?infinite obstacles with edges, in particular half plane and strip under mixed boundary conditions (Dirichlet on the top and Neumann condition on the bottom surface) ... -
Convergence of state distributions in multi-type Bellman-Harris and Crump Mode-Jagers branching processes
Athreya and Kaplan proved recently that the age distribution in a one?type supercritical Bellman–Harris process converges with probability one to a deterministic distribution, assuming either a j log j hypothesis on the ... -
Numerical studies of rotating laminar boundary-layer flows
This thesis presents numerical studies on certain problems in steady and unsteady laminar boundary?layer flows involving rotation of either the fluid or the body. It consists of four chapters: the first is introductory, ...

