Browsing 2009 MU dissertations - Freely available online by Thesis Department "Mathematics (MU)"
Now showing items 1-7 of 7
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Approximate isometries and distortion energy functionals
(University of Missouri--Columbia, 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 Missouri--Columbia, 2009)We show that a separable real Banach space embeds almost isometrically in a space [Upsilon] with a shrinking 1-unconditional basis if and only if lim [subscript n] [subscript arrow] [subscript infinity] [norms] [chi] [group ... -
Existence and construction of real-valued equiangular tight frames
(University of Missouri--Columbia, 2009)This paper presents results on real-valued 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 two-body field theory problem
(University of Missouri--Columbia, 2009)Motivated by the two-body 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 Missouri--Columbia, 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 Missouri--Columbia, 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 ... -
Topics in geometric analysis with applications to partial differential equations
(University of Missouri--Columbia, 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 ...