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Analytic and Entire Vectors for Representations of Lie Groups
(2018-01-01)We start with the recollection of basic results about differential manifolds and Lie groups. We also recall some preliminary terminologies in Lie algebra. Then we define the Lie algebra corresponding to a Lie group. In the ... -
Analytic and numerical studies of neural network models of associative memory
In this thesis, we have used analytical and numerical methods to study the behaviour of neural network models for the storage, classification and associative recall of information. In Part A, we have studied a class of ... -
Analytic Continuation In Several Complex Variables
(2014-06-30)We wish to study those domains in Cn,for n ≥ 2, the so-called domains of holomorphy, which are in some sense the maximal domains of existence of the holomorphic functions defined on them. We demonstrate that this study ... -
Analytic Models, Dilations, Wandering Subspaces and Inner Functions
This thesis concerns dilation theory, analytic models, joint invariant subspaces, reproducing kernelHilbert spaces and multipliers associated to commuting tuples of bounded linear operators on Hilbert spaces. The main ... -
Analytical and experimental studies on stratified flows
Stratified flows are the fluid motions caused or influenced by the density differences. The density currents, the intrusion of salt wedge, the gravitational circulation, diffusion and dispersion of pollutants in estuaries ... -
Analytical and Numerical Modeling for Heat Transport in a Geothermal Reservoir due to Cold Water Injection
(2018-01-09)Geothermal energy is the energy naturally present inside the earth crust. When a large volume of hot water and steam is trapped in subsurface porous and permeable rock structure and a convective circulating current is set ... -
Analytical and numerical modeling of rarefied gas flows
Most geological flow and transport models describe the flow and convective-dispersive spreading of one or more components entirely dissolved in the most common geological fluid, water. However, many other processes—such ... -
Analytical and numerical modelling of complex multiphase flow processes in geological environments
Most geological flow and transport models describe the flow and convective-dispersive spreading of one or more components entirely dissolved in the most common geological fluid, water. However, many other processes—such ... -
Analytical and numerical solutions of some moving boundary problems. vol. 2
This thesis presents analytical and numerical solutions of some Moving Boundary Problems (MBP’s), especially those pertaining to solidification/melting. Since solidification problems are mathematically analogous to melting ... -
Analytical and numerical solutions of some moving boundary problems. vol.1
Title of the Thesis: Analytical and Numerical Solutions of Some Moving Boundary Problems This thesis presents analytical and numerical solutions of some Moving Boundary Problems (MBP’s), especially those pertaining to ... -
Analytical And Numerical Study Of Propagation In Optical Waveguides And Devices In Linear And Nonlinear Domains
(2010-07-23)The objective of this thesis is to study of optical effects, arising in the form of non-uniform waveguide structure, complicated refractive index profiles or due to pulse propagation in dense wavelength division multiplexing ... -
Analytical Applications of Bile Acid-derived Soft Materials
Supramolecular gels are soft materials with solid-like properties such as supporting weight and retaining shape; and some liquid-like features which make them injectable, printable, etc. On the other hand, lanthanide-based ... -
Analytical Formalism to Study the 21 cm Signal from Cosmic Dawn and Epoch of Reionization
The epoch of Cosmic Dawn and Reionization is one of the most important time periods of the universe when first sources of radiation like stars and galaxies were formed, and they changed the properties of their surrounding ... -
Analytical Investigations on Linear And Nonlinear Wave Propagation in Structural-acoustic Waveguides
(2017-09-26)This thesis has two parts: In the first part, we study the dispersion characteristics of structural-acoustic waveguides by obtaining closed-form solutions for the coupled wave numbers. Two representative systems are ... -
Analytical Mellin-Barnes techniques with applications to two-loop SU(3) chiral perturbation theory and QED at higher loops
The present era is one of precision in particle physics. To account for the lacunae in the otherwise successful Standard Model, observables are calculated to high precision in various theoretical models, which are then ... -
Analytical Modeling Of Quantum Thershold Voltage For Short Channel Multi Gate Silicon Nanowire Transistors
(2010-12-29)Silicon nanowire based multiple gate metal oxide field effect transistors(MG-MOSFET) appear as replacements for conventional bulk transistors in post 45nm technology nodes. In such transistors the short channel effect(SCE) ... -
Analytical Modelling and Non-linear Characterisation of Piezoelectric Materials for Actuation and Vibration Control of Beams
(2018-08-29)The use of piezoelectric materials for actuation, and vibration suppression of thin beams, is the subject of study in this doctoral thesis. The initial focus is set on reducing beam vibrations with resistively shunted ...