Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第34回ISCIE「確率システム理論と応用」国際シンポジウム(2002年10-11月, 福岡)
Motion Analysis of Phase Boundaries governed by the Stochastic Level Set Equations
M. IshikawaK. MiyajimaH. Tanabe
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ジャーナル フリー

2003 年 2003 巻 p. 177-182

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This paper has concern with the analysis of the behavior of phase boundaries by stochastic level set approach. The stochastic level set equations have strong nonlinearity, so we formulate the system by introducing the stochastic viscosity solution, which is one of weak solutions of stochastic partial differential equations. Two types of motion of phase boundaries, growth with constant speed and mean curvature flow, are considered in this paper. And the influence of disturbances on the behavior of such phase boundaries is studied through simulations.
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© 2003 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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