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Author:

Lee, Young-Ju

Title:

Modelling and Simulations of non-Newtonian fluid flows

Graduate Program:

Mathematics

Keywords:

conformation tensor
non-Newtonian models
constitutive equation
positivity preserving scheme
Riccati differential equation
Lie derivative
multigrid
singular problems
falling sphere simulations
the Johnson-Segalman model

File:

Download mythesis.pdf

Committee Members:

Jinchao Xu, Committee Chair/Co-Chair
Chun Liu, Committee Member
Andrew Leonard Belmonte, Committee Member
James Spiro Vrentas, Committee Member
Nigel David Higson, Committee Member

Author:

Zhao, Yanxiang

Title:

Phase Field Modeling on Multicomponent Vesicle Adhesion and Fusion

Graduate Program:

Mathematics

Keywords:

phase field model
fusion process
adhesion
prefusion
postfusion

File:

Download Zhao-Dissertation.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Chun Liu, Committee Member
Xiantao Li, Committee Member
Sulin Zhang, Committee Member

Author:

Han, Ke

Title:

An Analytical Approach to Sustainable Transportation Network Design

Graduate Program:

Mathematics

Keywords:

Transportation Engineering
Dynamic User Equilibrium
Transportation Network Design
Sustainability

File:

Download Ke_Han-Dissertation.pdf

Committee Members:

Alberto Bressan, Dissertation Advisor/Co-Advisor
Terry Lee Friesz, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Member
Chun Liu, Committee Member
Lyle Norman Long, Committee Member
Tao Yao, Committee Member

Author:

Yang, Kai

Title:

Stable discretization and robust preconditioning for fluid-structure interaction

Graduate Program:

Mathematics

Keywords:

fluid-structure interaction
poroelasticity
block preconditioner

File:

Download KaiYang-Dissertation_final.pdf

Committee Members:

Jinchao Xu, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Anna L Mazzucato, Committee Member
Chun Liu, Committee Member
Padma Raghavan, Committee Member

Author:

Qiao, Changhe

Title:

GENERAL PURPOSE COMPOSITIONAL SIMULATION FOR MULTIPHASE REACTIVE FLOW WITH A FAST LINEAR SOLVER

Graduate Program:

Mathematics

Keywords:

PennSim
FASP
compositional simulation
reservoir simulation
reactive transport

File:

Download ChangheQiao-Dissertation.pdf

Committee Members:

Jinchao Xu, Dissertation Advisor/Co-Advisor
Russell Taylor Johns, Dissertation Advisor/Co-Advisor
Li Li, Dissertation Advisor/Co-Advisor
Ludmil Tomov Zikatanov, Committee Member
Chun Liu, Committee Member

Author:

Huang, Zhan

Title:

Nonlocal Models with Convection Effects

Graduate Program:

Mathematics

Keywords:

nonlocal
volume constrain
convection diffusion
conservation law
entropy solution
shock formation
numerical
convergence

File:

Download ZhanHuang-Dissertation.pdf

Committee Members:

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

Author:

Zhang, Qingtian

Title:

Uniqueness and singularities of weak solutions to some nonlinear wave equations

Graduate Program:

Mathematics

Keywords:

Camassa-Holm
Singularity
Uniqueness
weak solution
p-system
variational wave equation
well-posedness

File:

Download Qingtian_Zhang-Dissertation.pdf

Committee Members:

Alberto Bressan, Dissertation Advisor/Co-Advisor
Alberto Bressan, Committee Chair/Co-Chair
Chun Liu, Committee Member
Anna L Mazzucato, Committee Member
Francesco Costanzo, Outside Member
Toan Nguyen, Committee Member
Yuxi Zheng, Committee Member

Author:

Yuan, Liming

Title:

Study of Nonlinear Peridynamics and Nonlocal Kernel Functions

Graduate Program:

Mathematics

Keywords:

Peridynamics
phase transformation
molecular
nonlocal kernels

File:

Download Dissertation.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Xiantao Li, Committee Member
Chun Liu, Committee Member
Tao Yao, Outside Member
Yuxi Zheng, Committee Member

Author:

Xu, Wenfang

Title:

Adaptive Aggregation and Signal Processing on Graphs

Graduate Program:

Mathematics

Keywords:

graph Laplacian
graph aggregation
multilevel hierarchy
hypercircle error estimates
signals on graphs
graph filter

File:

Download WenfangXu-Dissertation.pdf

Committee Members:

Ludmil Tomov Zikatanov, Dissertation Advisor/Co-Advisor
Jinchao Xu, Committee Chair/Co-Chair
Chun Liu, Committee Member
Katherine Yoder Zipp, Committee Member
Katherine Yoder Zipp, Outside Member

Author:

Wu, Yangqingxiang

Title:

NUMERICAL SOLUTIONS OF INDEFINITE PROBLEMS AND AQUATIC INVASIVE SPECIES MODELING

Graduate Program:

Mathematics

Keywords:

Helmholtz equation
iterative method
indefinite system
invasive species modeling

File:

Download Yang-Dissertation-submit.pdf

Committee Members:

Ludmil Tomov Zikatanov, Dissertation Advisor/Co-Advisor
Ludmil Tomov Zikatanov, Committee Chair/Co-Chair
Chun Liu, Committee Member
Wen Shen, Committee Member
Benjamin Adam Shaby, Outside Member
Katherine Yoder Zipp, Outside Member