• Approximate isometries and distortion energy functionals 

    Bihun, Oksana, 1980- (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 

    Cowell, Simon, 1977- (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 

    Redmond, Daniel Joseph (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 

    Heitzman, Michael Thomas (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 

    Benson, James Dale (University of Missouri--Columbia, 2009)
    Cryobiology is the study of life and death at low temperatures and provides a fascinating setting for applied mathematics. The interdisciplinary nature of cryobiology mirrors the diversity of ...
  • Oscillators: resonances and excitations 

    Felts, K. R., 1978- (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 

    Barb, Simona, 1967- (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 ...