• Some classical problems in harmonie analysis 

  Mondal, Shayam Swarup (2023)

  This thesis focuses on certain classical problems in harmonic analysis in connection with mathematical physics. We begin with the Fourier analysis on the Euciidean space, discuss some well known results, basic definitions, ...
• On the penetration and distribution of drugs into biological tissues: A multiscale approach 

  Yadav, Kuldeep Singh (2022)

  In this thesis, a finite volume heterogeneous multiscale method (FV-HMM) is propounded to study drug transport into biological tissues by considering cell scale heterogeneity. The partition coefficient is incorporated in ...
• Local properties of Richardson varieties in symplectic and orthogonal Grassmannians 

  Ray, Papi (2022)

  In a paper by Kodiyalam and Raghavan, they provided an explicit combinatorial description of the Hilbert function of the tangent cone at any point on a Schubert variety in the Grassmannian, by giving a certain “degree-preserving” ...
• (A) Study of Some Parameters in Signed Graphs 

  Deepak (2022)

  Graphs with positive or negative edges are called signed graphs. We denote a signed graph Σ by (G, ϕ), where G is called the underlying graph of Σ and ϕ is a function that assigns +1 or −1 to the edges of G. The set of ...
• Mathematical Modelling of Drug Delivery in Tissue Cells by Electroporation 

  Mondal, Nilay (2022)

  Electroporation method is a useful tool for delivering drugs into various diseased tissues in the human body. In this thesis, mathematical models are developed to demonstrate how to deliver drugs into the diseased cells ...
• Study of Scattering and Trapping of Water Waves in Two-layer Fluids for Various Types of Structure Configurations and Sea-beds 

  Barman, Koushik Kanti (2022)

  The main objeotive of this thesis is to investigate the wave reflection and transmission, forces, wave run-up, and hydrodynamic coefficients due to the presence of two-dimensional and one-dimensional porous structures in ...
• Goeritz Groups of Genus Two and Genus Three Heegaard Splitting of the Three Sphere 

  Panda, Swapnendu (2021)

  In this work, we present a finite generating set (j2 of J-li, the genus-2 Goeritz group of S3, in terms of Dehn twists about certain simple closed curves on the standard Heegaard surface. We present an algorithm that ...
• Expansioins of C-Sets and D-Sets Having Jordan Automorphism Groups and Some Related Questions 

  Ahmed, Shabeena (2002)

  This thesis is about the interplay between permutation groups and some relational structures. Special emphasis is on a class of permutation groups called Jordan groups i which, in some non-degenerated way, the pointwise ...
• Study of Non-local Elliptic Problems Involving Variable Order and Variable Exponents 

  Biswas, Reshmi (2021)

  In the thesis, we study some non-local and nonlinear elliptic equations involving variable order and variable exponents. For studying these problems, we introduce the variable order fractional Sobolev spaces with variable ...
• On the Existence, Uniqueness and Approximate Controllability of Some Classes of Differential Equations With Different Types of Fractional Derivatives 

  Roy, Bandita (2021)

  The research reported in this thesis deals with the analysis of a number of differential equations of fractional order, viz., Cauchy type non-autonomous fractional differential equation, Volterra-Fredholm integro fractional ...
• Spherical Mean On Metivier Groups And Uniqueness Results For Quaternion Weyl Transform 

  Dalai, Rupak Kumar (2022)

  In this thesis, the spherical mean of the metivier group is considered and we characterize the spherical harmonic coefficients of certain functions in terms of polynomial growth by which we infer a support theorem. ...
• Weak Galerkin Finite Element Methods For Some Interface Problems With Nonhomogeneous Jump Conditions 

  Roy, Papri (2022)

  The objective of this thesis is to provide higher order convergence of weak Galerkin finite element solutions to the exact solutions of some time dependent partial differential equations with Lipschitz continuous interfaces. ...
• Divisibility of Certain Partition Functions and Modular Forms 

  Singh, Ajit (2022)

  This thesis studies arithmetic properties of certain partition functions, namely mex-related partition functions, Andrews’ singular overpartitions, t-regular partitions and 3-regular color partitions. Firstly, we study the ...
• (A) Posteriori Error Estimates for Finite Element Discretizations of Parabolic Optimal Control Problems 

  Manohar, Ram (2022)

  The main objective of this thesis is to derive a posteriori error estimates for nite element discretizations of optimal control problems governed by parabolic partial di erential equations. Both distributed and boundary ...
• Congruent Number and Related Topics 

  Das, Shamik (2021)

  A positive integer n is called a congruent number if it is equal to the area of a right triangle with rational sides. Determining whether a given positive number is congruent or not is known as the congruent number ...
• Portfolio Theory with Lower Partial Moments: Asset Pricing and Performance Analysis 

  Mondal, Dipankar (2020)

  In this thesis, we use LPM as a measure of risk and then develop the theoretical framework of portfolio management with LPM. We present various properties of LPM and discuss their practical importance in the area of ...
• Superconvergence Analysis of the Discontinuous Galerkin Method for Singularly Perturbed Di eren- tial Equations 

  Singh, Gautam (2020)

  This thesis provides efficient numerical methods for solving singular perturbation problems (SPPs) of convection-diffusion and reaction-diffusion types with boundary layers. A differential equation is called singularly ...
• Water wave interaction with different structures and obstacles due to various types of bottom topography in a homogeneous fluid and a two-layer fluid 

  Chanda, Ayan (2021)

  This thesis attempts to contribute to the understanding of the mechanism behind the interaction of water waves with an elastic bottom topography, an ice-sheet and some porous structures, the importance of which has been ...
• Diffraction and Radiation of Linear Water Waves by a Vertical Compound Porous Cylinder of Various Configurations in Finite Ocean Depth 

  Sarkar, Abhijit (2020)

  Porous structures reduce the waveload and wave run-up on coastal structures. These structures are very flexible, reusanle and can be develop low cost wave attenuation ADN protection systems. By applying boundary conditions, ...
• Classifications of some Algebraically Positive, Diagonalizable and Stable Matrices with their Sign Patterns 

  Das, Sunil (2021)

  A real square matrix A is said to be algebraically positive if there exists a real polynomial f such that f (A) is a positive matrix. We prove that, a real square matrix is algebraically positive if and only if it commutes ...

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