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. ...

This thesis presents axially symmetric equivalents of three-dimensional rf ion traps. Miniaturization in mass spectrometry has focused on miniaturizing mass analyzers. Decrease in mass analyzer size facilitates reduction ...

Let e > 3 and mo,... ,me_i be positive integers with gcd(m0,... ,me_i) = 1, which form an almost arithmetic sequence, i.e., some e - 1 of these form an arithmetic progression. We further assume that m0,... ,mc_1 generate ...

In this thesis, we have dealt primarily with two function algebras. The first one is the space of all holomorphic functions on the unit disc D in the complex plane which are continuous up to the boundary, denoted by A(D). ...

The Cahn-Hilliard-Navier-Stokes (CHNS) framework has found extensive applications, across diverse length and time scales, for multi-phase flows. In this thesis, we demonstrate that this framework offers a robust theoretical ...

The validity of the von-Neumann inequality for commuting $n$ - tuples of $3\times 3$ matrices remains open for $n\geq 3$. We give a partial answer to this question, which is used to obtain a necessary condition for the ...

Environmental pollution and energy storage are two important issues in the modern day society. In this regard, Carbon nanomaterials have attained immense importance, due to their high surface area and electrical conductivity ...

The penetration of magnetic fields in the form of quantized vortices in type-II superconductors is well known. However, it is not well known that such vortices can be electrically charged. The effect is quite subtle and ...