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Author:

He, Andong

Title:

Conformal mapping and variational methods for interfacial dynamics in fluids

Graduate Program:

Mathematics

Keywords:

interfacial dynamics
fluid dynamics
conformal mapping

File:

Download Andong_He_Dissertation.pdf

Committee Members:

Mark Levi, Dissertation Advisor/Co-Advisor
Andrew Leonard Belmonte, Committee Chair/Co-Chair
Mark Levi, Committee Chair/Co-Chair
Qiang Du, Committee Member
Diane Marie Henderson, Committee Member
Tong Qiu, Committee Member

Author:

Wang, Jiakou

Title:

STOCHASTIC AND DETERMINISTIC COAGULATION MODELS, THEIR NUMERICAL APPROXIMATIONS AND APPLICATIONS TO CELL AGGREGATION

Graduate Program:

Mathematics

Keywords:

cell aggregation
coagulation equation
stochastic model
time relaxed method

File:

Download Wang-Dissertation.pdf

Committee Members:

Qiang Du, Committee Chair/Co-Chair
Cheng Dong, Committee Member
Chun Liu, Committee Member
Suzanne Michelle Shontz, Committee Member
Ludmil Tomov Zikatanov, Committee Member

Author:

Pan, Jia

Title:

OPTIMAL INTERMEDIATED INVESTMENT IN A LIQUIDITY-DRIVEN BUSINESS CYCLE

Graduate Program:

Mathematics

Keywords:

dynamical programming
general equilibrium
infinite horizon
liquidity risk
banking
numerical algorithm

File:

Download mythesis.pdf

Committee Members:

Edward James Green, Committee Chair/Co-Chair
Jenny Li, Committee Chair/Co-Chair
Qiang Du, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Ruilin Zhou, Committee Member

Author:

Chen, Long

Title:

Robust and Accurate Algorithms for Solving Anisotropic Singularities

Graduate Program:

Mathematics

Keywords:

mesh adaptation
anisotropic error estimate
convection dominated problem
singularly perturbed problem
optimal Delaunay triangulation
nonlinear approximation

File:

Download MyThesis.pdf

Committee Members:

Jinchao Xu, Committee Chair/Co-Chair
Qiang Du, Committee Member
Chun Liu, Committee Member
James Z Wang, Committee Member
Ludmil Tomov Zikatanov, Committee Member

Author:

Zhang, Lei

Title:

Phase field model for the nucleation in solid state phase transformations: Theories, Algorithms and Applications

Graduate Program:

Mathematics

Keywords:

Phase field
nucleation
critical nucleus
solid state

File:

Download Lei-Dissertation.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Long Qing Chen, Committee Member
Chun Liu, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member

Author:

Sostarecz, Michael Craig

Title:

EXPERIMENTS AND MODELING IN VISCOELASTIC FLUIDS: DIMPLED DROPS AND BEADED FILAMENTS

Graduate Program:

Mathematics

Keywords:

Stability Analysis
Evolution Equation
Free Boundary Problems
Asymptotic Expansion
Viscoelastic Fluids
Fluid Dynamics
Beads-on-String
Drops and Bubbles
Torus

File:

Download SostareczThesis.pdf

Committee Members:

Andrew Leonard Belmonte, Committee Chair/Co-Chair
Diane Marie Henderson, Committee Member
Ali Borhan, Committee Member
Qiang Du, Committee Member
Nigel David Higson, Committee Member

Author:

Emelianenko, Maria

Title:

Multilevel and Adaptive Methods for Some Nonlinear Optimization Problems

Graduate Program:

Mathematics

Keywords:

optimization
multigrid methods
computational geometry
numerical analysis
computational methods in materials science

File:

Download emelianenko-Dissertation.pdf

Committee Members:

Qiang Du, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Dr Zi Kui Liu, Committee Member
Dr Hongyuan Zha, Committee Member
Wen Shen, Committee Member
Nigel David Higson, Committee Member

Author:

Higley, Michael

Title:

Stochastic and Deterministic Processes in Fragmentation and Sedimentation

Graduate Program:

Mathematics

Keywords:

Galton board
fragment size
settling speed

File:

Download higley_final_draft.pdf

Committee Members:

Andrew Leonard Belmonte, Dissertation Advisor/Co-Advisor
Andrew Leonard Belmonte, Committee Chair/Co-Chair
Qiang Du, Committee Member
Diane Marie Henderson, Committee Member
Francesco Costanzo, Committee Member

Author:

Li, Manlin

Title:

ANALYSIS OF DETERMINISTIC AND STOCHASTIC IMPLICIT INTERFACE MODELS OF FLUID-INTERFACE INTERACTIONS

Graduate Program:

Mathematics

Keywords:

SIIM
phase field
implict interface

File:

Download Thesis-ManlinLi.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Chun Liu, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
John Fricks, Committee Member

Author:

Ryham, Rolf Josef

Title:

An Energetic Variational Approach to Mathematical Modeling of Charged Fluids: Charge Phases, Simulation and Well Posedness

Graduate Program:

Mathematics

Keywords:

ER fluid
electrokinetics
Nernst-Plank-Poisson
phase field

File:

Download RolfRyhamThesis.pdf

Committee Members:

Chun Liu, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Chair/Co-Chair
Qiang Du, Committee Member
Yousry Azmy, Committee Member
Fanghua Lin, Committee Member