Browsing 2009 Dissertations (MU) by Thesis Department "Mathematics (MU)"
Now showing items 19 of 9

Approximate isometries and distortion energy functionals
(University of MissouriColumbia, 2009)A fundamental problem in Riemannian Geometry and related areas is to determine whether two diffeomorphic compact Riemannian manifolds (M, [subscript g][subscript M]) and (N, [subscript g][subscript N]) are isometric; that ... 
Asymptotic unconditionality in Banach spaces
(University of MissouriColumbia, 2009)We show that a separable real Banach space embeds almost isometrically in a space [Upsilon] with a shrinking 1unconditional basis if and only if lim [subscript n] [subscript arrow] [subscript infinity] [norms] [chi] [group ... 
Existence and construction of realvalued equiangular tight frames
(University of MissouriColumbia, 2009)This paper presents results on realvalued equiangular tight frames (ETFs) and related topics. Some geometric theorems are developed, and aspects of frame theory are used to gain insight into ETFs. We develop a projection ... 
A free boundary gas dynamic model as a twobody field theory problem
(University of MissouriColumbia, 2009)Motivated by the twobody problem in the classical field theories of electrodynamics and gravitation, in which finite propagation speeds lead to radiation reaction and runaway solutions, we develop a free boundary problem ... 
Mathematical problems from cryobiology
(University of MissouriColumbia, 2009)Cryobiology is the study of life anddeath at low temperatures and provides a fascinating setting for applied mathematics. The interdisciplinary nature of cryobiology mirrors the diversity of applications ranging from animal ... 
Oscillators : resonances and excitations
(University of MissouriColumbia, 2009)This thesis is a compilation of work done in the field of oscillators. One topic is an investigation into impact oscillators and their properties. The second topic is concerned with excitation of oscillators. The thesis ... 
SeibergWitten invariants on 3manifolds with an orientation reversing involution
(University of MissouriColumbia, 2009)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] This work is devoted to the study of SeibergWitten theory for three dimensional manifolds in the presence of involutions. G. Tian and S.Wang explored ... 
Topics in geometric analysis with applications to partial differential equations
(University of MissouriColumbia, 2009)The main aim of the current thesis is to investigate the mathematical tools and methods used to study problems which bridge between analysis and geometry. Such an undertaking is particularly useful in situations in which ... 
Uniqueness theorems for nonsymmetric convex bodies
(University of MissouriColumbia, 2009)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] This dissertation involves the determination of convex bodies and the comparison of sections of convex bodies. Uniqueness of convex bodies via derivatives ...