抄録
An influence of a random noise on a mean curvature flow of a phase boundary is investigated. The phase boundary is defined as a curve or a surface separating different physical states such as a water-ice interface. The mean curvature flow is motion that the phase boundary moves with a normal velocity equals the mean curvature at each point on the phase boundary. Since we treat a stochastic mean curvature flow, we formulate it by a stochastic level set equation, which is a nonlinear stochastic partial differential equation with a uniques solution in a sense of a stochastic viscosity solution. In numerical simulations, behaviors of the stochastic mean curvature flows in two- and three-dimensional spaces are studied.
