Search
Now showing items 1-7 of 7
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 ...
M-adic perturbations in Noetherian local rings
(University of Missouri--Columbia, 2021)
The purpose of this thesis is to develop methods for the study m-adic stability in an arbitrary Noetherian local ring. A key role is played by the Artin-Rees lemma. Using these techniques we establish new results about the ...
Critical perturbations of elliptic operators by lower order terms
(University of Missouri--Columbia, 2021)
In this work we study issues of existence and uniqueness of solutions of certain boundary value problems for elliptic equations in the upper half-space. More specifically we treat the Dirichlet, Neumann, and Regularity ...
Generalized Littlewood-Richardson coefficients for branching rules of GL(n) and extremal weight crystals
(University of Missouri--Columbia, 2018)
This thesis is devoted to the combinatorial and geometric study of certain multiplicities, which we call generalized Littlewood-Richardson coefficients. These are sums of products of single Littlewood-Richardson coefficients, ...
Global bifurcation of anti-plane shear equilibria
(University of Missouri--Columbia, 2023)
Bifurcation theoretic methods are used to construct families of solutions for two problems arising in non-linear elasticity. These solution curves are shown to exhibit interesting phenomena that are both mathematically ...
Global bifurcation and stability of solitary waves in two-layer water
(University of Missouri--Columbia, 2022)
The present work concerns two mathematical problems on wave in a stratified body of water governed by the incompressible Euler equations. In the first part, we present a large-amplitude existence theory for two-dimensional ...
Boundary value problems for the Stokes system in arbitrary Lipschitz domains
(University of Missouri--Columbia, 2008)
The goal of this work is to treat the main boundary value problems for the Stokes system, i.e., (i) the Dirichlet problem with Lp-data and nontangential maximal function estimates, (ii) the Neumann problem with Lp-data and ...