| We will discuss the stability of certain solutions to a phase transition model. This model is typically expressed as a partial differential equation: ut = epsilon2uxx -- F'(u), ux(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. |
