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. 405–421DOI 10.4171/IFB/107