Mathematics (MA)
Recent Submissions
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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 ... -
Analysis of some unsteady laminar boundary - layer flows using numerical methods
This thesis presents the analysis of the numerical investigations of some unsteady laminar incompressible boundary?layer flow problems. It consists of five chapters. The first chapter deals with a general introduction to ... -
Mangnetohydrodynamic flow and diffusion in channels or pipes with some physiological applications
Abstract not available -
Theoretical studies in micropolar and viscoelastic fluids
We record below a summary of the results of our investigations. The linear micropolar fluid is a viscous fluid with five additional coefficients of viscosity, apart from the usual Newtonian fluid. In its flow behaviour it ... -
Optimal control and differential games in a Hilbert space
In this thesis, we study some aspects of optimal control and differential game problems in an infinite-dimensional Hilbert space. We mainly discuss the dynamic programming and viscosity solution approach to these problems. ... -
A Neumerica study of laminar compressible boundary-layer problems
This thesis presents some investigations on certain problems in laminar compressible boundary-layer theory. It consists of an introductory chapter and three main chapters. A brief survey of the literature relevant to the ... -
Phase transition at critically, poisson convergence of isolated vertices and connectivity in random connection models
This work has two parts. The first part contains the study of phase transition and percolation at criticality for three random graph models on the plane, viz., the homogeneous and inhomogeneous enhanced random connection ... -
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 ... -
Iterative and direct P;Adic algorithms for exact solution of numerical problems
In this chapter, we have described an O(n³), 2 < P < 3 algorithm for inverting integer matrices using p-adic computations. Some of the important aspects of this method are: (a) Absence of any convergence problems – the ... -
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 ... -
Solutions of some rasially symmetric problems of heat conduction with phase change
Some analytical and numerical solutions pertaining to radially symmetric problems of heat conduction with phase change have been presented in this thesis. The emphasis is on finding the growth rate of the moving boundary. ... -
Theoretical studies on some superconductors.
Superconductivity can be considered to be one of the most attractive branches of solid-state physics. This is especially true now, with the sensational discoveries of high transition-temperature superconductors. On the ... -
Some stability and flow problems in hydrodynamics
(a) Exploding shell: We see that the disturbances in the plasma pressure and velocity grow with time. They manifest in the form of unbounded oscillations with their amplitudes varying as time and frequencies proportional ...
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