Abstract
As one of important nonlinear problems in engineering, a free boundary problem will be cited. The free boundary problem is one, which seek both a state and a free boundary. As a typical example of such free boundary problems, there is a Stefan problem. Some models of the Stefan problem have been proposed in the past. Such models are generally classified into a Stefan type and a phase field one. In this paper, we adopt the latter one and the analysis of two-phase Stefan problems by the stochastic phase field model is considered including simulation experiments.