Existence Result for the One-Dimensional Full Model of Phase Transitions
Fabio Luterotti, Ulisse Stefanelli · Zeitschrift für Analysis und ihre Anwendungen · 2002
This note deals with a nonlinear system of partial differential equations accounting for phase transition phenomena. The existence of solutions to a Cauchy–Neumann problem is established in the one-dimensional space setting, using a regularization – a priori estimates – passage to limit procedure.