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Work[remove]11

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Dissertation11

Creator

Anna Tikhomirov1
Benjamin L Vaughan, Jr.1
Brian Vernon Merkey1
Bryan Smith1
Christine Sample1
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Keyword

Biofilm2
Mathematics2
X-FEM2
Biophysics1
EPS1
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Applied Mathematics[remove]11

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Filtering by: Type Work Remove constraint Type: Work Subject Applied Mathematics Remove constraint Subject: Applied Mathematics

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Eigenfunctions and Eigenoperators of Cyclic Integral Transforms with Application to Gaussian Beam Propagation

Description:

An integral transform which reproduces a transformable input function after a finite number $N$ of successive applications is known as a {\it cyclic} transform. Of course, such a transform will reproduce an arbitrary transformable input after $N$ applications, but it also admits eigenfunction inputs which will be reproduced after a...

Keyword:

Physics

Subject:

Applied Mathematics

Creator:

Matthew McCallum

Owner:

Scholarly Digital Publishing

Date Uploaded:

10/02/2018

Date Modified:

10/02/2018

Date Created:

2008-12-08

Resource Type:

Dissertation
Nonlinear Dynamics of Interacting Interfaces in Electrochemical and Biological Systems

Description:

Interfacial phenomena play a considerable role in many physical, chemical and biological systems. Some of these systems exhibit interaction of several interfaces. This thesis contains a study of two types of systems characterized by interacting interfaces. First, a theory of the formation of nanoscale porous structures in oxides of metals...

Keyword:

Mathematics

Subject:

Applied Mathematics

Creator:

Christine Sample

Owner:

Scholarly Digital Publishing

Date Uploaded:

09/19/2018

Date Modified:

09/19/2018

Date Created:

2008-09-03

Resource Type:

Dissertation
The Extended Finite Element Method for Special Problems with Moving Interfaces

Description:

Problems involving irregularly shaped domains or embedded interfaces occur in a wide range of mathematical models. These include models in computational biology, fluid mechanics, and solidification. Numerical solutions for this type of problem can be difficult to obtain, and therefore a variety of methods have been devised to solve them....

Keyword:

Biofilm, X-FEM, Film Thinning, Solidification, and Level Set

Subject:

Applied Mathematics

Creator:

Bryan Smith

Owner:

Scholarly Digital Publishing

Date Uploaded:

09/19/2018

Date Modified:

09/19/2018

Date Created:

2008-09-09

Resource Type:

Dissertation
Biofilm Modeling for Wastewater Treatment: Multiple Species and Multiple Components

Description:

This work explores the development and implementation of a biofilm model for multiple solid species and multiple dissolved components. The model makes use of several different advanced numerical methods in order to achieve the goal of describing the behavior of biofilms growing in wastewater treatment reactors. Using the model we...

Keyword:

multi-species, soluble microbial products, biofilm, EPS, and multi-component

Subject:

Applied Mathematics

Creator:

Brian Vernon Merkey

Owner:

Scholarly Digital Publishing

Date Uploaded:

09/17/2018

Date Modified:

09/17/2018

Date Created:

2008-08-04

Resource Type:

Dissertation
Complex Patterns in Oscillatory Systems

Description:

Motivated by the rich variety of complex patterns observed on the surface of fluid layers that are vibrated at multiple frequencies, we investigate the effect of such resonant forcing on systems undergoing a Hopf bifurcation to spatially homogeneous oscillations. We use an extension of the complex Ginzburg-Landau equation (CGLE) that...

Keyword:

nonlinear dynamics, superlattice patterns, resonant forcing, oscillatory systems, pattern formation, and multiple frequency forcing

Subject:

Applied Mathematics

Creator:

Jessica Maral Conway

Owner:

Scholarly Digital Publishing

Date Uploaded:

09/13/2018

Date Modified:

09/13/2018

Date Created:

2008-08-26

Resource Type:

Dissertation
Mathematical Modeling, Simulation, and Analysis of Two Problems in Interfacial Fluid Dynamics

Description:

We consider two problems in low Reynolds-number, interfacial ﬂuid mechanics: the rupture of thin liquid ﬁlms on chemically patterned solid substrates, and the engulfment of foreign particles by a solidiﬁcation front progressing through a binary alloy. First we investigate the stability and rupture of thin liquid ﬁlms on patterned sub-...

Keyword:

Mathematics

Subject:

Applied Mathematics

Creator:

Justin Kao

Owner:

Scholarly Digital Publishing

Date Uploaded:

09/07/2018

Date Modified:

09/07/2018

Date Created:

2008-05-08

Resource Type:

Dissertation
Rare Event Simulation for Lightwave Systems Using the Cross-Entropy Method

Description:

Rare events are studied in an increasing number of areas, ranging from lightwave and optical communication systems, to industrial routing problems, to rogue ocean waves, to financial asset pricing, to the rare failure of something as common as Gaussian elimination, as well as numerous others. In optical communication systems, a...

Keyword:

solitons, NLS, rare events, cross entropy method, and SVD

Subject:

Applied Mathematics

Creator:

Graham Mauch Donovan

Owner:

Scholarly Digital Publishing

Date Uploaded:

09/07/2018

Date Modified:

09/07/2018

Date Created:

2008-05-08

Resource Type:

Dissertation
Application of the eXtended Finite Element Method in Mathematical Biology

Description:

Across a broad spectrum of mathematical models, problems arise that have irregular domains or contain embedded interfaces. The complexity due to the introduction of these interfaces makes it more difficult to develop efficient and accurate numerical methods for their solutions. This thesis discusses modifications to the eXtended Finite Element Method...

Keyword:

Biofilm, X-FEM, Interfaces, and Mathematical Biology

Subject:

Applied Mathematics

Creator:

Benjamin L Vaughan, Jr.

Owner:

Scholarly Digital Publishing

Date Uploaded:

08/16/2018

Date Modified:

08/16/2018

Date Created:

2007-09-27

Resource Type:

Dissertation
Mathematical modeling of structure formation in angiogenesis

Description:

Angiogenesis, the formation of blood vessels from a pre-existing vasculature, is a process whereby capillary sprouts are formed in response to chemical stimuli that can be either supplied externally or produced locally. Understanding of the fundamental mechanisms that govern angiogenesis suggests a powerful therapeutic approach that will allow to combat...

Keyword:

General and Biophysics

Subject:

Applied Mathematics

Creator:

Anna Tikhomirov

Owner:

Scholarly Digital Publishing

Date Uploaded:

08/14/2018

Date Modified:

08/14/2018

Date Created:

2007-07-30

Resource Type:

Dissertation
Mathematical Modeling of the Formation of Surface Nanostructures in Thin Solid Films

Description:

The self-assembly of quantum dots (QDs) in thin solid films is an important area of nanotechnology with many relevant applications. In the present thesis, three problems related to the growth and self-assembly of QDs are investigated. In Chapter 1, a new instability mechanism for the formation of QDs associated with...

Keyword:

Materials Science and Engineering

Subject:

Applied Mathematics

Creator:

Margo S Levine

Owner:

Scholarly Digital Publishing

Date Uploaded:

08/07/2018

Date Modified:

08/07/2018

Date Created:

07-10-2007

Resource Type:

Dissertation

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