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 = ε where2 uxx-F'(u), ux(0) = ux(1) = 0,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
- 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