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Open Access

Author:: Haines, Brian Michael
Title:: Effective Viscosity of Dilute Bacterial Suspensions
Graduate Program:: Mathematics
Keywords:: rheology
effective viscosity
bacterial suspensions
File:: Download bmh_thesis.pdf
Committee Members:: Leonid Berlyand, Dissertation Advisor/Co-Advisor
Leonid Berlyand, Committee Chair/Co-Chair
Alberto Bressan, Committee Member
Helge Kristian Jenssen, Committee Member
Anna L Mazzucato, Committee Member
Jayanth R Banavar, Committee Member

Open Access

Author:: Li, Hengguang
Title:: ELLIPTIC EQUATIONS WITH SINGULARITIES: A PRIORI ANALYSIS AND NUMERICAL APPROACHES
Graduate Program:: Mathematics
Keywords:: the finite element method
weighted sobolev spaces
singularities
elliptic equations
a priori analysis
the multigrid method
File:: Download HengguangLiDissertation.pdf
Committee Members:: Victor Nistor, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Chair/Co-Chair
Jinchao Xu, Committee Member
Anna L Mazzucato, Committee Member
Corina Stefania Drapaca, Committee Member

Open Access

Author:: Van Erp, Johannes
Title:: The Atiyah-Singer Index Formula for Subelliptic Operators on Contact Manifolds
Graduate Program:: Mathematics
Keywords:: Index theory
Hypoelliptic operators
Contact manifolds
File:: Download hypindex.pdf
Committee Members:: Nigel David Higson, Committee Chair/Co-Chair
John Roe, Committee Member
Victor Nistor, Committee Member
Anna L Mazzucato, Committee Member
Murat Gunaydin, Committee Member

Open Access

Author:: Handzy, Nestor Zenon
Title:: Experimental Observations and Mathematical Description of Micellar Fluid Flow
Graduate Program:: Mathematics
Keywords:: Wormlike micelles
non-equilibrium
constitutive equation
File:: Download NZHThesis.pdf
Committee Members:: Andrew Leonard Belmonte, Committee Chair/Co-Chair
Anna L Mazzucato, Committee Member
Diane Marie Henderson, Committee Member

Open Access

Author:: Li, Tianjiang
Title:: Abstract Principal Component Analysis And Applications To Model Reduction
Graduate Program:: Mathematics
Keywords:: Banach operator algebra
standing and traveling waves
signal decomposition
extraction of transient modes
abstract principal component analysis
data mining
File:: Download Li-Dissertation.pdf
Committee Members:: Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
Anna L Mazzucato, Committee Member
Runze Li, Committee Member

Open Access

Author:: Gyrya, Vitaliy
Title:: Effective viscosity and dynamics of suspensions of micro-swimmers
Graduate Program:: Mathematics
Keywords:: Stokes
bacteria
microswimmers
effective viscosity
rheology
interactions
self-propulsion
File:: Download gyrya_dissertation.pdf
Committee Members:: Leonid Berlyand, Dissertation Advisor/Co-Advisor
Leonid Berlyand, Committee Chair/Co-Chair
Andrew Leonard Belmonte, Committee Member
Anna L Mazzucato, Committee Member
Timothy Reluga, Committee Member
Reka Z Albert, Committee Member

Open Access

Author:: Cheng, Wen
Title:: Approximate Solutions to Second Order Parabolic Equations with Applications to Option Pricing
Graduate Program:: Mathematics
Keywords:: Green function
Fokker Planck equation
parabolic equation
Option Pricing
File:: Download WenCheng-Dissertation.pdf
Committee Members:: Victor Nistor, Dissertation Advisor/Co-Advisor
Victor Nistor, Committee Chair/Co-Chair
Anna L Mazzucato, Committee Chair/Co-Chair
John C Liechty, Committee Member
Alexei Novikov, Committee Member

Open Access

Author:: Qiao, Yu
Title:: Analysis on Singular Spaces: Applications of Operator Algebras to Boundary Value Problems
Graduate Program:: Mathematics
Keywords:: Layer potentials
domains with conical points
Lie groupoids
Dirichlet Problem
C^*-algebras
Mellin transforem
File:: Download YuQiao-Dissertation.pdf
Committee Members:: Victor Nistor, Dissertation Advisor/Co-Advisor
Victor Nistor, Committee Chair/Co-Chair
John Roe, Committee Chair/Co-Chair
Kris Wysocki, Committee Member
Anna L Mazzucato, Committee Member
Corina Stefania Drapaca, Committee Member

Open Access

Author:: Zhu, Yunrong
Title:: ROBUST PRECONDITIONERS FOR H(grad), H(curl) AND H(div) SYSTEMS WITH STRONGLY DISCONTINUOUS COEFFICIENTS
Graduate Program:: Mathematics
Keywords:: Jump Coefficients
Multigrid
BPX preconditioner
Domain Decomposition
Condition Number
File:: Download Zhu-thesis.pdf
Committee Members:: Jinchao Xu, Committee Chair/Co-Chair
Victor Nistor, Committee Member
Francesco Costanzo, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Anna L Mazzucato, Committee Member

Open Access

Author:: Qu, Qingqin
Title:: The Generalized Finite Element Method: Numerical Treatment of Singularities, Interfaces, and Boundary Conditions
Graduate Program:: Mathematics
Keywords:: Interface problems
Partition of unity
Generalized finite element method
Weighted Sobolev spaces
Optimal rate of Convergence
File:: Download mythesis.pdf
Committee Members:: Anna L Mazzucato, Dissertation Advisor/Co-Advisor
Victor Nistor, Dissertation Advisor/Co-Advisor
Anna L Mazzucato, Committee Chair/Co-Chair
Victor Nistor, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
Corina Stefania Drapaca, Committee Member

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