Existence of self-similar evolution of crystals grown from supersaturated vapor (Q1769399)
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scientific article; zbMATH DE number 2148305
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of self-similar evolution of crystals grown from supersaturated vapor |
scientific article; zbMATH DE number 2148305 |
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Existence of self-similar evolution of crystals grown from supersaturated vapor (English)
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21 March 2005
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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.
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nonstationary crystalline flow
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