Stochastic evolution of 2D crystals

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 meth...

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Bibliographic Details
Published in:Applied mathematics and computation 2010-03, Vol.216 (1), p.205-212
Main Authors: DUDZINSKI, Marcin, GORKA, Przemysław
Format: Article
Language:English
Subjects:
Calculus of variations and optimal control
Crystal structure
Evolution
Exact sciences and technology
Galerkin methods
Geometry
Global analysis, analysis on manifolds
Mathematical analysis
Mathematical models
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Perturbation methods
Sciences and techniques of general use
Stochastic systems
Stochasticity
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2010.01.035