Item Details

abstract

We will discuss the stability of certain solutions to a phase transition model. This model is typically expressed as a partial differential equation: u_t = ε2u_xx-F'(u), u_x(0) = u_x(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