Existence of self-similar evolution of crystals grown from supersaturated vapor
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.
scientific article; zbMATH DE number 2148305