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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Veröffentlicht in:	Applied mathematics and computation 2010-03, Vol.216 (1), p.205-212
Hauptverfasser:	DUDZINSKI, Marcin, GORKA, Przemysław
Format:	Artikel
Sprache:	eng
Schlagworte:	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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Beschreibung
Zusammenfassung:	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