Mathematics (MA): Recent submissions
Now showing items 41-60 of 264
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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 ... -
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 ... -
Electromagnetic waves in plasmas
This thesis embodies the investigations on the electromagnetic waves in plasmas. The investigations fall under two general headings, namely, wave propagation in plasmas in the presence of the Coriolis force (Part I) and ... -
Computational methods in linear algebra and related problems
The importance of linear algebra can be summarized by the single statement: "Linear Algebra pervades and enriches almost all areas in numerical computation." Ever so many methods are available in literature for the ... -
numerical studies of laminar compressible boundary layer flows with heat and mass transfer
This thesis presents a numerical study of some laminar compressible boundary-layer flows with heat and mass transfer. It consists of five chapters: the first is an introductory one, the remaining four are concerned with ... -
Some problems in fluid mechanics with special reference to turbomachinery
This thesis includes some investigations on continuum flows through turbomachines and some slip flow problems. Rarefied gas flow through a nozzle is studied with the aim that this may lead to a greater understanding of ...