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Author:

Ryan, Shawn David

Title:

Effective properties and collective dynamics in bacterial suspensions

Graduate Program:

Mathematics

Keywords:

mathematical biology
active biosystems
collective motion
effective viscosity
coupled PDE/ODE system
kinetic theory

File:

Download thesis.pdf

Committee Members:

Leonid Berlyand, Dissertation Advisor/Co-Advisor
Leonid Berlyand, Committee Chair/Co-Chair
Anna L Mazzucato, Committee Member
Xiantao Li, Committee Member
Ralph H Colby, Committee Member

Author:

Liang, Chao

Title:

Approximate solution to second order parabolic equations, with application to financial modeling

Graduate Program:

Mathematics

Keywords:

Partial Differential Equations
Financial Modeling
Option Pricing
Approximate Solutions
Symbolic Computation

File:

Download ChaoLiang-Dissertation.pdf

Committee Members:

Victor Nistor, Dissertation Advisor/Co-Advisor
Xiantao Li, Dissertation Advisor/Co-Advisor
Anna L Mazzucato, Committee Member
John C Liechty, Committee Member
Qiang Du, Committee Member
Yuxi Zheng, Special Member

Author:

Wu, Weisheng

Title:

On ergodicity of geodesic flows and nondense orbits of certain partially hyperbolic systems

Graduate Program:

Mathematics

Keywords:

Ergodicity
Nonpostive Curvature
Nondense orbits
Schmidt games
partially hyperbolic diffeomorphisms

File:

Download Wu-Dissertation.pdf

Committee Members:

Federico Roderiguez Hertz, Dissertation Advisor/Co-Advisor
Anatole Katok, Committee Chair/Co-Chair
Boris V Kalinin, Committee Member
Mark Strikman, Special Member

Author:

Wang, Lu

Title:

the auxiliary space solvers and their applications

Graduate Program:

Mathematics

Keywords:

multigrid
auxiliary space
solver

File:

Download Lu-Dissertation.pdf

Committee Members:

Jinchao Xu, Dissertation Advisor/Co-Advisor
James Joseph Brannick, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Chao Yang Wang, Special 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