Dept. Math, Hokkaido Univ. EPrints Server

Existence of self-similar evolution of crystals grown from supersaturated vapor

Preprint Series # 606
Giga, Yoshikazu and Rybka, Piotr Existence of self-similar evolution of crystals grown from supersaturated vapor. (10 October 2003);

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Abstract

We study a cylindrical crystalline flow in three dimensions coupled to a diffusion field. This system arises in modeling crystals grown from supersaturated vapor. We show exis-tence of self-similar solutions to the system under a special choice of interfacial energy and kinetic coefficients.

Item Type:Preprint
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:58