JournalsifbVol. 6, No. 4pp. 405–421

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

  • Yoshikazu Giga

    University of Tokyo, Japan
  • Piotr Rybka

    Warsaw University, Poland
Existence of self-similar evolution of crystals grown from supersaturated vapor cover
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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 existence of self-similar solutions to this system under a special choice of interfacial energy and kinetic coefficients.

Cite this article

Yoshikazu Giga, Piotr Rybka, Existence of self-similar evolution of crystals grown from supersaturated vapor. Interfaces Free Bound. 6 (2004), no. 4, pp. 405–421

DOI 10.4171/IFB/107