Title: Uniqueness and existence of generalized motion for spiral crystal growth

Authors: Shun'ichi Goto, Maki Nakagawa and Takeshi Ohtsuka

Issue: Volume 57 (2008), Issue 5, 2571-2600

Abstract: We consider a level set equation of generalized mean curvature flow for spiral curves. It is shown that spiral curves described by the level set formulation are unique with respect to initial spiral curves. The method for constructing of an initial datum from the initial spiral curve is also proposed.