Existence of self-similar evolution of crystals grown from supersaturated vapor
type: Item
instance of: scholarly article
title: Existence of self-similar evolution of crystals grown from supersaturated vapor
zbMATH Open document ID: 1075.35118
DOI: 10.4171/IFB/107
author: Yoshikazu Giga
author: Piotr Rybka
published in: Interfaces and Free Boundaries
publication date: 2005-03-21T00:00:00Z
review text: The authors consider a model of crystals grown from supersaturated vapor. For this purpose they study a cylindrical crystalline flow in three dimensions coupled to a diffusion field. Mathematically, this is a nonstationary free boundary value problem. The authors prove the existence of self-similar solutions to this system under a special choice of interfacial energy and kinetic coefficients.
reviewed by: Jürgen Socolowsky
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 74N05
zbMATH DE Number: 2148305
zbMATH Keywords: nonstationary crystalline flow
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2148305