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Browsing by Author "Schmidt, Paul"
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A-Stability For Two Species Competition Diffusion Systems
Nguyen, Tung (2006-08-15)
My dissertation research focuses on establishing the structural
stability of the attractor ($\mathcal{A}$-stability) via Morse-Smale
property for diffusive two-species competition systems
\begin{equation}
\label{abst ...
Development of Striae Distensae - A Mechanochemical Model
Hariharan, Aneesh (2007-05-15)
Striae distensae, otherwise known as stretch marks, are common skin lesions found
in a variety of clinical settings. They occur frequently during adolescence or pregnancy
when there is rapid tissue expansion, but may ...
The Lattice Gas Model and Lattice Boltzmann Model on Hexagonal Grids
Jin, Kang (2005-08-15)
We present an overview of the FHP model and the Lattice BGK model. Details regarding boundary conditions and initial conditions are discussed throught implementations on driven cavity flow, Poiseuille flow, and flow past ...
A novel finite element discretization of domains with spheroidal geometry
Tuncer, Necibe (2007-05-15)
We describe and analyze a new finite element discretizations for domains with spheroidal
geometry. In particular, we describe how the method can be used to approximate solutions
as well as eigenvalues and eigenfunctions ...
On The Lattice Boltzmann Method: Implementation and Applications
Jin, Kang (2008-12-15)
We studied the development and different types of the Lattice Boltzmann method. We gave several implementations. Then we presented two moving boundary treatments for the Lattice Boltzmann method, the second one is new. We ...