Abstract
dc:description.abstractWe will discuss the stability of certain solutions to a phase transition model. This model is typically expressed as a partial differential equation: <italic> u<sub>t</sub> = ε<super>2</super>u<sub>xx</sub>-F'(u), u<sub>x</sub>(0) = u<sub>x</sub>(1) = 0, </italic> where <italic> F(u) </italic> 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.
Degree
thesis:*- Grantor dc:publisher
- Wake Forest University
- Year dc:date.issued
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Hardeman, Heather Katelyn
Subjects
dc:subject × 1Rights
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/10339/39323
- OAI identifier oai:identifier
- oai:wakespace.lib.wfu.edu:10339/39323