Division of Physical and Mathematical Sciences
Recent Submissions
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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 ... -
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 ... -
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, ... -
Studies on graph grammars : comparison of various models and applications to graph theory
In this short chapter we shall raise a few questions whose answers could throw further light on the theory of graph grammars. When the notion of contextual condition was introduced by Rosenfeld, the grammars were constructed ... -
Small amplitude phenomena in conducting fluids and transport properties of plasmas
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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 ... -
Autonomous Motion, Control Strategies & Sensing Applications Using Magnetic Micro-Robots
In recent years, there has been growing interest in manoeuvring nanoscale objects in fluidic environments, as it holds significant potential in targeted therapies, diagnostics, and probing local rheological properties. ... -
Investigations on nuclear pulse-height analysis with applications to studies of radioactive minerals
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Cosmic noise studies in relation to ionospheric absorption and solar activity
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Scaling and universality in driven systems : the sandpile model and the GOY shell model of turbulence
In spite of their simplicity, sandpile models have proved to be very useful for studying (a) SOC in model systems and (b) nonequilibrium steady states in driven systems. As we have mentioned in the brief overview given ... -
Solid state NMR methods for the study of oriented systems : New techniques and applications
Nuclear Magnetic Resonance was first observed in 1946 by two independent groups; Purcell et al. at Harvard University and Bloch et al. at Stanford University. Since then, NMR spectroscopy has made such phenomenal progress ...
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