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On the Stability of Solutions to a Phase Transition Model

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abstract
We will discuss the stability of certain solutions to a phase transition model. This model is typically expressed as a partial differential equation: ut = ε2uxx-F'(u), ux(0) = ux(1) = 0, where F(u) is a so-called "double-well'' potential. We consider both classical and nonclassical examples for F. Furthermore, the main method we use in this discussion of stability is that of upper and lower solutions.
subject
analysis
diffusion equation
partial differential equations
phase transition model
contributor
Hardeman, Heather Katelyn (author)
Robinson, Stephen B (committee chair)
Raynor, Sarah (committee member)
Pigott, Brian (committee member)
date
2014-07-10T08:35:41Z (accessioned)
2014-07-10T08:35:41Z (available)
2014 (issued)
degree
Mathematics (discipline)
identifier
http://hdl.handle.net/10339/39323 (uri)
language
en (iso)
publisher
Wake Forest University
title
On the Stability of Solutions to a Phase Transition Model
type
Thesis

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