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.
Cite this article
F. Luterotti, Ulisse Stefanelli, Existence Result for the One-Dimensional Full Model of Phase Transitions. Z. Anal. Anwend. 21 (2002), no. 2, pp. 335–350