2026-09-21T05:32:01Zhttps://wakespace.lib.wfu.edu/server/oai/requestoai:null:10339/393232026-09-02T16:23:23Zcom_10339_14934col_10339_38132
Hardeman, Heather Katelyn
2014-07-10T08:35:41Z
2014-07-10T08:35:41Z
2014
https://wakespace.lib.wfu.edu/handle/10339/39323
We 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> = &epsilon;<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.
en
Wake Forest University
analysis
diffusion equation
partial differential equations
phase transition model
On the Stability of Solutions to a Phase Transition Model
Thesis
Robinson, Stephen B
Raynor, Sarah
Pigott, Brian
Mathematics
open.access