Mathematics (MA)
Recent Submissions
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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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
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 studies of unsteady double diffusive mixed convective boundary_layer flows
In the present thesis, some problems in unsteady mixed convective boundary-layer flows with double diffusion have been numerically investigated. It consists of five chapters-the first of which is a general introduction to ... -
Numerical studies of some problems in mixed convection boundary layer flows
This thesis embodies the results of our investigations on some problems in mixed convection boundary-layer flows. It is divided into four chapters, the first being a general introduction to boundary-layer theory, mixed ... -
Some dual realizations of Bergman and Hardy spaces on convex domains via integral transforms
The Fantappi{\`e} and Laplace transforms identify abstract spaces of analytic functionals with concrete function spaces, converting geometric support conditions into analytic growth conditions. Specifically, the space of ... -
Kobayashi geometry and a metric notion of negative curvature
In this thesis, we study some problems that represent various aspects of Kobayashi geometry. Our problems are, in some sense, motivated by a close examination---which forms a part of this thesis---of a property that may ...

