ProQuest Subject Index - Mathematics at THE UNIVERSITY OF NORTH CAROLINA AT CHAPEL HILL

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You are viewing titles for THE UNIVERSITY OF NORTH CAROLINA AT CHAPEL HILL in the Mathematics available through the UMI Dissertations & Thesis Gradwoorks site

Rayleigh-Taylor instability in sedimenting suspensions	On the Cohen-Macaulay property of monomial ideals in conical algebras

The Malgrange-Ehrenpreis theorem in distribution theory	Cutting and stacking in ergodic theory

Numerical Approximations to the Boussinesq Equations	Using Gram Matrices and Residues to Generate Symmetric Functions

Modeling multiphase flow in porous medium systems at multiple scales	Krylov deferred correction methods for differential equations with algebraic constraints

Determinants of the hypergeometric period matrices of an arrangement and its dual	Lagrangian data assimilation into layered ocean model

Rational maps lacking certain periodic orbits	Dimensions of compact invariant sets of some expanding maps

Small amplitude oscillatory flows of nematic liquid crystal polymers	Universal abelian covers for surface singularities { zn = f(x, y)}

Short time behavior of solutions to nonlinear Schrodinger equations in N space dimensions	Mathematical descriptions of nematic polymers in the monolayer limit

Passive scalar intermittency in random flows	Cohomology of flag varieties and the BK-filtration

Viscoelasticity at microscopic and macroscopic scales: Characterization and prediction	Modeling the airway surface liquid regulation in human lungs

Inclusion of a glycogen regulation mathematical model into a contextual metabolic framework	The general quadruple point formula

Linear and nonlinear shear wave propagation in viscoelastic media	Real Geometric Invariant Theory and Ricci soliton metrics on two-step nilmanifolds

Recursive structures in the cohomology of flag varieties	Solutions to the Nonlinear Schrodinger Equation with Dirac mass initial data

Regularized singularities and spectral deferred correction methods: A mathematical study of numerically modeling Stokes fluid flow	Caustics and the indefinite signature Schrodinger equation: Linear and nonlinear

Tiling systems, division point measures, and endomorphisms	An experimental and mathematical study on the prolonged residence time of a sphere falling through stratified fluids at low Reynolds number

Strongly nonlinear internal waves in near two-layer stratifications: Generation, propagation and self-induced shear instabilities	Topics in basis reduction and integer programming

Simulation methods for spatiotemporal models of biochemical signaling networks	Dynamical properties of Weierstrass elliptic functions on square lattices

Stratified flows with vertical layering of density: Theoretical and experimental study of the time evolution of flow configurations and their stability	Singular milnor numbers of non-isolated matrix singularities

Explicit Formulas for Local Formal Mellin Transforms	Mathematical Modeling, Immersed Boundary Simulation, and Experimental Validation of the Fluid Flow around the Upside-Down Jellyfish Cassiopea xamachana

Localized Energy Estimates Of The Wave Equation On Higher Dimensional Hyperspherical Schwarzschild Spacetimes	On The Combinatorics Of Minimal Non-gatherable Triples In Classical Affine Root Systems

Eigencone Problems for Odd and Even Orthogonal Groups	The Blum Medial Linking Structure for Multi-Region Analysis

New Descriptions of Demazure Tableaux and Right Keys, with Applications to Convexity	The Sharp Lifespan for Quasilinear Wave Equations in Exterior Domains with Polynomial Local Energy Decay

Addressing the Computational Cost of the Immersed Boundary Method through Multi-Implicit and Multi-Rate Strategies with Time Parallelism	A Comparison of Eigencones Under Certain Diagram Automorphisms

On the Cohen-Macaulay Property of Quotients of Conical Algebras by Monomial Ideals	Optimal Design and Control of Finite-Population Queueing Systems