Existence and uniqueness results to a phase transition model based on microscopic accelerations and movements (Q2385996)

Microscopic movements give rise to phase transition at the macroscopic level and if not neglected lead to nonlinear parabolic-hyperbolic Cauchy-Neumann problems. The local existence and uniqueness of a solution of these problems is presented through two well-posedness results. The proof of the first is based on a fixed point argument, while the second is based on techniques based on a priori estimates.