Division of Physical and Mathematical Sciences: Recent submissions
Now showing items 121-140 of 1108
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Some nonlinear elliptic equations involving nonlinearities of critical growth
We consider the following Neumann boundary value problem: ?Anu+??u?n?2u=f(x,u)?u?n?2in ?- A_n u + \lambda |u|^{n-2}u = f(x, u) |u|^{n-2} \quad \text{in } \Omega?An?u+??u?n?2u=f(x,u)?u?n?2in ? in a bounded domain ??Rn\Omega ... -
Spectral approximations
The problem of determining the nonzero eigenvalues, if any exist, of a linear operator on a Hilbert space, is a very important one in mathematics and physics. Even when the space is finite-dimensional, the actual ... -
Contractivity, Complete Contractivity and Curvature Inequalities
Let ???A\| \cdot \|_A???A? be a norm on Cm\mathbb{C}^mCm given by the formula ?(z1,…,zm)?A=?z1A1+?+zmAm?\|(z_1, \ldots, z_m)\|_A = \|z_1 A_1 + \cdots + z_m A_m\|?(z1?,…,zm?)?A?=?z1?A1?+?+zm?Am?? for some choice of an ... -
Numerical Techniques for reconstruction of objects from projections
In this dissertation we consider certain alternative procedures, viz., the g-inverse method as well as an iterative technique based on probabilistic estimation for the reconstruction of objects from their projections. ... -
Computation of Lyapunov spectrum and dynamic moment invariants
This thesis consists of two parts. The first part describes a new method of computing the Lyapunov exponents of continuous and discrete dynamical systems. Chaos is observed in a large class of systems and hence the problem ... -
Projective Modules and the Quillen Suslin Theorem
The notion of a module over a ring is a generalization of that of a vector space over a field k. The axioms are identical. But whereas every vector space possesses a basis, a module need not always have one. Modules ... -
Curves on Surfaces
This project report concerns the study of simple closed curves on surfaces. Specifically, we consider the question of when a closed curves on a torus can be deformed to a simple closed curve. We also consider applications ... -
Thermopower probing the effect of interaction and strong correlation in twisted multilayer graphene moir´e
Two-dimensional quantum materials, especially graphene-based van der Waals heterostructures, have been at the forefront of a new era in scientific research and technological breakthroughs. From field-effect transistors to ... -
Synthesis of Novel (111) Facet Cubic Phase SnO2 Thin Films for Gas Sensing and Perovskite Solar Cell Applications
The tetragonal phase is a well-known phase of SnO2, which shows high stability under ambient conditions. SnO2 has been used in many applications, such as transparent conductive electrodes (TCEs), gas sensors, photocatalysis, ... -
Unravelling the low-frequency radio secrets of Galactic star-forming regions with the uGMRT
Star-forming regions are dynamic environments shaped by the complex interplay of various astrophysical processes and objects. On one hand, massive stars during their evolutionary phases ionise the surrounding interstellar ... -
Understanding and tailoring defects in monolayer transition metal dichalcogenides for single photon emission
Full text Embargo up to Oct 15, 2026 Point defects in monolayer (ML) transition metal dichalcogenides (TMDs) can behave as single photon emitters (SPEs). SPEs enable foundational quantum phenomena like entanglement and ... -
On Fluidic Plasmonics: Harnessing Liquid Metals for Tunable Nanophotonics
Low melting point metals, in particular, Ga and its alloys, have been used in electronics applications extensively, while their photonic applications in the visible region (2-3eV photon energy) of the electromagnetic ... -
Dipole Cosmology: Revisiting Our Universe with a Flow
In this thesis, we explore an ansatz alternative to the FLRW classes of spacetimes for our Universe, in light of observations that exhibit anisotropies at late times. Despite the existence of these anisotropies beyond ... -
Herglotz representation, approximation by inner functions, and Hankel operators
This thesis can be broadly categorized under the theories of multi-variable operators and holomorphic functions, structured into two distinct parts. The first part investigates the relationship between two classical theorems: ... -
Proximity engineering of correlated states in graphene heterostructures
Strong electronic correlations are central to many phenomena in condensed matter physics, including unconventional superconductivity, the fractional quantum Hall effect, nematicity, and non-Fermi liquid behavior. In ... -
Improvements on hadronic form factors using analyticity and unitarity constraints
Form factors are of central importance in strong interaction dynamics. While electromagnetic form factors are an important source of information about the internal structure of hadrons, the knowledge of the weak transition ... -
Curvature Generation in Self-Assembled Fluid Membranes
The ability of thin sheets to curve into complex three-dimensional shapes underlies diverse biological processes. We study curvature generation in fluidic membranes using the model system colloidal membrane, which is ... -
Mapping class group dynamics, relative character varieties and hyperbolic cone surfaces
This thesis concerns the punctured surface group representations into $\pslr$ and $\pslc$. We study the action of mapping class group on the relative character varieties of punctured surface groups into $\pslr$ and $\pslc$. ... -
High-Velocity Skyrmions : Engineering, Memristors and Random Number Generation
Non-collinear spin textures have become very important in both fundamental research and technology. One of the most interesting examples of these textures is the skyrmion. A skyrmion is a small, vortex-like spin pattern ... -
New Dispersive Techniques for Quantum Field Theories
Quantum field theory has been remarkably successful in describing interactions of elementary particles, particularly through perturbative methods. However, many important regimes — including strong coupling and quantum ...