Uniqueness and existence of generalized motion for spiral crystal growth S. GotoTakeshi Ohtsuka 53C4435K65level set methodviscosity solutionmean curvature flow 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. Indiana University Mathematics Journal 2008 text pdf 10.1512/iumj.2008.57.3350 10.1512/iumj.2008.57.3350 en Indiana Univ. Math. J. 57 (2008) 2571 - 2600 state-of-the-art mathematics http://iumj.org/access/