2022-05-19T06:54:09Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/696812018-04-25T23:44:10Zhdl_2115_45007hdl_2115_116Uniqueness and existence of generalized motion for spiral crystal growthGOTO, Shun'ichiNAKAGAWA, MakiOHTSUKA, Takeshilevel set method viscosity solution mean curvature flow410The uniqueness and existence of generalized solutions of `spiral curves' for the mean curvature flow with driving force is studied by an adapted level set formulation. It is shown that the curves which are given by the level set formulation are unique with respect to initial spiral curves. For given spiral curves the method of a construction of an initial datum of a level set equation is also obtained by constructing a branch of the arguments from the centers of spiral curves, which has discontinuity at the given spiral curves.Departmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69681info:doi/10.14943/84022https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69681/1/pre872.pdfHokkaido University Preprint Series in Mathematics8721222007engpublisher