On anisotropy and curvature effects for growing crystals

We will present an introductory review of the mathematics for investigating the interfacial motion in crystal growth problems. Anisotropy is quite an important factor in such problems. There are two types of anisotropy - the kinetic anisotropy and the one of curvature effect. The main theme of this article is how the kinetic anisotropy determines the growth form of the crystal and how the curvature effect works on it