JournalsifbVol. 6 , No. 4DOI 10.4171/ifb/107

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

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.