確率平均曲率流方程式による相境界の挙動解析(J16-2,J16 工学的応用に向けた複雑系の能動制御)

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This paper is concerned with analyses of the phase boundaries, which evolve according to a mean curvature motion. The phase boundary is generally defined as interface between different physical states such as the water-ice interface and its evolution comes under the influence of external fields. In material science, however, there is the case that the motion of the phase boundary is independent of states of external fields. In this paper, consider the case that motion of the phase boundary depends on its geometric shape and taking the fluctuation of the behavior of the boundary into consideration, we analyze the behavior of the phase boundary by stochastic level set methods. Furthermore, we study the influence of the noise on the mean curvature flow by numerical simulations.
2004-09-04