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Author:

Zhang, Ke

Title:

Thermodynamical Formalism For Maps With Inducing Schemes

Graduate Program:

Mathematics

Keywords:

dynamical systems
thermodynamic formalism
inducing scheme

File:

Download KeZhang-thesis.pdf

Committee Members:

Yakov B Pesin, Committee Chair/Co-Chair
Svetlana Katok, Committee Member
Omri Sarig, Committee Member
Piotr Berman, 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:

Zhang, Tianyou

Title:

The structure of solutions near a degenerate line for mixed type equations in gas dynamics

Graduate Program:

Mathematics

Keywords:

two-dimensional Riemann problem
pressure gradient equation
2-D steady Euler equations
characteristic analysis

File:

Download 1-TianyouZhang-Dissertation.pdf

Committee Members:

Yuxi Zheng, Dissertation Advisor/Co-Advisor
Alberto Bressan, Dissertation Advisor/Co-Advisor
Kris Jenssen, Committee Member
Gary Stuart Settles, Committee Member
Yuxi Zheng, Committee Chair/Co-Chair
Alberto Bressan, Committee Chair/Co-Chair

Author:

Zhang, Jingyan

Title:

Shrinking Dimer Dynamics and its Application in Saddle Point Search

Graduate Program:

Mathematics

Keywords:

Saddle point search
transition state
Shrinking Dimer Dynamics
dimer method
nucleation
constrained Shrinking Dimer Dynamics

File:

Download mythesis.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
Alexei Novikov, Committee Member
Zhibiao Zhao, Committee Member
Zikui Liu, Committee Member

Author:

Zhang, Dongmei

Title:

CONTROL PROBLEMS IN INFECTIOUS DISEASE MANAGEMENT

Graduate Program:

Mathematics

Keywords:

control theory
PDE
infectious disease management
economic epidemiology
optimization

File:

Download Dissertation_Dongmei_Zhang.pdf

Committee Members:

Alberto Bressan, Dissertation Advisor/Co-Advisor
Timothy Reluga, Dissertation Advisor/Co-Advisor
Alberto Bressan, Committee Chair/Co-Chair
Timothy Reluga, Committee Chair/Co-Chair
Jinchao Xu, Committee Member
Lyle Norman Long, Special Member
Yuxi Zheng, Special Member

Author:

Zhang, Xuan

Title:

Studies on the weak convergence of partial sums in Gibbs-Markov dynamical systems

Graduate Program:

Mathematics

Keywords:

weak convergence
Gibbs-Markov
dynamical systems
Poisson limit theorem
central limit theorem
first return times

File:

Download XZ-Dissertation.pdf

Committee Members:

Manfred Heinz Denker, Dissertation Advisor/Co-Advisor
Manfred Heinz Denker, Committee Chair/Co-Chair
Yakov B Pesin, Committee Member
Federico Rodriguez Hertz, Committee Member
Guodong Pang, Committee Member

Author:

Zhang, Siyan

Title:

Heat Kernels, Exponential in Solvable Lie Groups, and Mean Reverting SABR Model

Graduate Program:

Mathematics

Keywords:

Option Price
Mean Reverting
Heat Kernels
SABR Model
Asymptotic Expansion

File:

Download SiyanZhang-Dissertation.pdf

Committee Members:

Anna L Mazzucato, Dissertation Advisor/Co-Advisor

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:

Zhang, Yajie

Title:

Transmission Problems for Parabolic Equations and Applications to the Finite Element Method

Graduate Program:

Mathematics

Keywords:

Well-posedness
Neumann-Neumann vertex
non-smooth interface
transmission problem
broken weighted Sobolev space
semigroup theory
finite element method with graded mesh

File:

Download psu_thesis.pdf

Committee Members:

Anna L Mazzucato, Dissertation Advisor/Co-Advisor
Anna L Mazzucato, Committee Chair/Co-Chair
Victor Nistor, Committee Member
Kris Jenssen, Committee Member
Francesco Costanzo, Outside Member

Author:

Zhang, Hongxuan

Title:

ALGEBRAIC MULTIGRID METHODS AND THEIR APPLICATIONS

Graduate Program:

Mathematics

Keywords:

Algebraic Multigrid
Numerical Linear Algebra
Numerical Analysis

File:

Download HongxuanZhang-Disseration.pdf

Committee Members:

Jinchao Xu, Dissertation Advisor/Co-Advisor
Jinchao Xu, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
James Joseph Brannick, Committee Member
Yilin Wang, Outside Member