Stochastic evolution of 2D crystals
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摘要
We study a crystalline version of the modified Stefan problem in the plane. The feature of our approach is that, we consider a model with stochastic perturbations and assume the interfacial curve to be a polygon. The existence of solution to our stochastic system is established. Galerkin’s method is one of the main tools used in the proof of our assertion.
论文关键词:Stefan’s problem,Crystalline motion,Stochastic systems,Galerkin’s method,Itô’s formula,Fixed point theorems
论文评审过程:Author links open overlay panelMarcinDudzińskiaEnvelopePrzemysławGórkabcPersonEnvelope
论文官网地址:https://doi.org/10.1016/j.amc.2010.01.035