Browsing Division of Physical and Mathematical Sciences by thesis submitted date"2021"
Now showing items 21-40 of 55
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Hardy's inequalities for Grushin operator and Hermite multipliers on Modulation spaces
This thesis consists of two broad themes. First one revolves around the Hardy's inequalities for the fractional power of Grushin operator $\G$ which is chased via two different approaches. In the first approach, we first ... -
Hermitian Metrics and Singular Riemann Surface Foliations
The main aim of this thesis is to understand curvature properties of a given hermitian metric by restricting it to the leaves of a suitable singular Riemann surface foliation. We will specifically consider the complete ... -
High-K Dielectrics–Studies on (Ta2O5)1-x– (TiO2)x, (0 ≤ x ≤ 0.11), Thin Films
Recently the increasing demand for miniaturized electronic gadgets has raised the interest in searching the high dielectric constant (K) materials for memory elements. Among the investigated high dielectric constant metal ... -
Homogenization of certain PDEs and associated optimal control problems on various rough domains
This thesis is devoted to the study of the asymptotic behavior of partial differential equations (PDEs) and associated boundary and interior optimal control problems in various oscillatory domains. The present thesis ... -
Investigation of DC and AC Charge Transport in Semiconducting Polymers and Devices
Semiconducting polymer materials have several applications in electronics and optoelectronic devices. The charge transport in these complex systems is yet to be fully understood to optimize the performance of the devices. ... -
Investigations on structural, optical and electrical properties of lattice matching CdZnTe & HgCdTe colloidal quantum dot systems for possible core-shell structures in optoelectronic devices
In this work, alloyed II-VI group CdZnTe, HgCdTe colloidal quantum dots (QDs) have been synthesised and their optical, material, electrical properties are studied for optoelectronic applications. The bandgap of the alloyed ... -
Multi-Axis Motion Measurement Systems Based on Optical Beam Deflection
Multi-axis motion measurement is indispensable for precision motion control, and characterization of dynamic response of mechanical structures. This work describes the development and applications of a 5-axis high bandwidth ... -
The multiphase interstellar medium: A study of various physical and kinematical properties
Interstellar medium (ISM) is the relatively empty space in between the stars. It has different phases, like, neutral, molecular, and ionized. Neutral interstellar medium, which is pervaded all over the galaxy, is sometimes ... -
Multiscale Simulation of Nucleic Acid Nanostructures
Nucleic acids, namely DNA and RNA, are arguably the most studied biological molecules. Utilizing the key properties of nucleic acids, such as their persistence lengths and Watson-Crick base-pairing complementarity, ... -
Near Optimal Non-malleable Codes and Leakage Resilient Secret Sharing Schemes
A well-studied class of attacks on cryptosystems called "side-channel attacks", stems from the additional access that an adversary can get due to the susceptibility of the hardware on which the cryptosystem (e.g., digital ... -
Nodal sets of random functions
This thesis is devoted to the study of nodal sets of random functions. The random functions and the specific aspect of their nodalset that we study fall into two broad categories: nodal component count of Gaussian Laplace ... -
On certain invariant measures for correspondences, their analysis, and an application to recurrence
The aim of this dissertation is to analyse a certain class of dynamically interesting mea- sures arising in holomorphic dynamics that goes beyond the classical framework of maps. We study measures associated with semigroups ... -
On the Geometry and Operator Theory of the Bidisc and the Symmetrized Bidisc
This work is concerned with the geometric and operator theoretic aspects of the bidisc and the symmetrized bidisc. First we have focused on the geometry of these two do- mains. The symmetrized bidisc, a non-homogeneous ... -
Particles and Fields in Partial-differential-equation Models for fluid and Superfluid Turbulence
We have shown that uniformly rotating vortex-containing gravitationally-bound solutions of the GPPE can be generated by starting the evolution from initial data obtained by integrating to convergence the (imaginary-time) ... -
Phenomenological Explorations in Dark Matter
The previous decade has seen an explosive increase in explorations into the nature of dark matter (DM) encompassing astrophysical, particle and cosmological probes. We face today a large body of gravitational evidences ... -
Positivity preservers forbidden to operate on diagonal blocks
The question of which functions acting entrywise preserve positive semidefiniteness has a long history, beginning with the Schur product theorem [Crelle 1911], which implies that absolutely monotonic functions (i.e., ... -
Proton kinetic energy anomaly, Kauzmann temperature for nanoconfined water and design of nanoscale membrane for water desalination.
Structure, dynamics and thermodynamics of water molecules con fined inside the nanopores of various geometries are of fundamental interest owing to their potential applications in various nanofluidic devices, such as ... -
Quantum walks and spatial search on regular graph
Random walks and algorithms based upon them are used widely to explore large state spaces that arise while studying physical systems. In this thesis, we will discuss some quantum generalizations of such algorithms and study ... -
Raman Study of gated devices in two-dimensional materials and pressure effects
This thesis presents Raman study of 2D materials of contemporary interests: 2H-MoTe_2, type-II Weyl semimetal (T_d-MoTe_2), structurally anisotropic semiconductors (1T'-ReX_2 (X=S, Se)) and Mott insulator (FePS_3) under ... -
Role of Friction in Microswimmer and Active Filament Motion
Friction is pervasive in all fields of science. It is the key factor that emerging technologies involving autonomous motion at micron scales such as micro-bots need to overcome in order to be efficient. They fall in the ...