Browsing Mathematics (MA) by Title
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Peristaltic Flows With Some Applications
(20071229)Peristalsis is a mechanism of pumping fluids in ducts when a progressive wave of area contraction or expansion propagates along the length of a distensible tube containing fluid. It induces in general propulsive and mixing ... 
Peristaltic Transport Of Biofluids
(20120531) 
The PickNevanlinna Interpolation Problem : Complexanalytic Methods in Special Domains
(20180613)The Pick–Nevanlinna interpolation problem, in its fullest generality, is as follows: Given domains D1, D2 in complex Euclidean spaces, and a set f¹ zi; wiº : 1 i N g D1 D2, where zi are distinct and N 2 š+, N 2, find ... 
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., ... 
A Posteriori Error Analysis of Discontinuous Galerkin Methods for Elliptic Variational Inequalities
(20180215)The main emphasis of this thesis is to study a posteriori error analysis of discontinuous Galerkin (DG) methods for the elliptic variational inequalities. The DG methods have become very popular in the last two decades ... 
Quasianalytic Functions, Spherical Means, and Uncertainty Principles on Heisenberg Groups and Symmetric Spaces
This thesis has two parts. The first part revolves around certain theorems related to an uncertainty principle and quasianalyticity. In contrast, the second part reflects a different mathematical theme, focusing on the ... 
Recognition of Structures, Functions and Interactions of Proteins of Pathogens : Implications in Drug Discovery
(20180714)Significant advancements in genome sequencing techniques and other highthroughput initiatives have resulted in the availability of complete sequences of genomes of a large number of organisms, which provide an opportunity ... 
Relative Symplectic Caps, Fibered Knots And 4Genus
(20140407)The 4genus of a knot in S3 is an important measure of complexity, related to the unknotting number. A fundamental result used to study the 4genus and related invariants of homology classes is the Thom conjecture, proved ... 
Representations of Special Compact Linear Groups of Order Two : Construction, Representation Growth, Group Algebras and Branching Laws
Let o be the ring of integers of a nonArchimedean local field such that the residue field has characteristic p: Let p be the maximal ideal of o: For Char¹oº = 0; let e be the ramification index of o: i.e., 2o = pe: Let ... 
Ricci Flow And Isotropic Curvature
(20140903)This thesis consists of two parts. In the first part, we study certain Ricci flow invariant nonnegative curvature conditions as given by B. Wilking. We begin by proving that any such nonnegative curvature implies nonnegative ... 
Riemann Roch Theorem For Algebraic Curves
(20110928) 
Riesz Transforms Associated With Heisenberg Groups And Grushin Operators
(20151208)We characterise the higher order Riesz transforms on the Heisenberg group and also show that they satisfy dimensionfree bounds under some assumptions on the multipliers. We also prove the boundedness of the higher order ... 
Rigidity And Regularity Of Holomorphic Mappings
(20150716)We deal with two themes that are illustrative of the rigidity and regularity of holomorphic mappings. The first one concerns the regularity of continuous CR mappings between smooth pseudo convex, finite type hypersurfaces ... 
RiskSensitive Stochastic Control and Differential Games
This thesis studies risksensitive stochastic optimal control and differential game problems. First, we study risksensitive stochastic differential games for controlled reflecting diffusion processes in a smooth bounded ... 
Role of gamma oscillations in processing of natural stimuli
Gamma oscillations (~3080 Hz) are a prominent signature of electrophysiological signals recorded from the brain with proposed roles in various cognitive functions such as attention and visual perception. Although gamma ... 
The Role Of Potential Theory In Complex Dynamics
(20140407)Potential theory is the name given to the broad field of analysis encompassing such topics as harmonic and subharmonic functions, the Dirichlet problem, Green’s functions, potentials and capacity. In this text, our main ... 
SemiMarkov Processes In Dynamic Games And Finance
(20100701)Two different sets of problems are addressed in this thesis. The first one is on partially observed semiMarkov Games (POSMG) and the second one is on semiMarkov modulated financial market model. In this thesis we study ...