Mathematics (MA): Recent submissions
Now showing items 1-20 of 230
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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 ... -
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 ... -
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. ... -
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 ... -
Wiener-hopf technique and allied methods in a class of scattering problems
This thesis is devoted to the study of a class of boundary value problems arising in the scattering of electromagnetic and acoustic waves by means of the Wiener–Hopf technique and related methods. The contents are organized ... -
Kinematical conservation laws and applications
Study of wave motion is important in the field of fluid mechanics. The equations governing the motion of an inviscid compressible fluid form a hyperbolic system of quasi-linear equations and hence give rise to nonlinear ... -
Grushin Multipliers and Toeplitz Operators
This work investigates advanced concepts in functional analysis and partial differential equations, focusing on Sobolev spaces and their weighted variants. The study explores properties of functions in Lp(Rn+1)L^p(\mathb ... -
A Study and development of numerical techniques for the solution of integral equations
We have shown that given any function f(x), there exists a unique f?(x), as defined by the relation (2.1), which exactly coincides with f(x) at the points jh. By using the package MATHEMATICA, we can choose a k, such that ... -
Benard-Marangoni convection and instability in a layered fluid system
Buoyancy-driven instability has been well established since the pioneering work of Rayleigh, who showed that convection, called Bénard convection, occurs only when the Rayleigh number, which is a ratio of buoyancy force ... -
Some flow problems in noncoaxial rotating systems
We live in an atmosphere of air and water which involve rotation to a greater or lesser extent. The atmosphere and the oceans rotate as a whole with the earth and move over its surface as winds and ocean currents which ...