2023-03-26T05:58:52Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/694562022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116SELFSIMILAR EXPANDING SOLUTIONS IN A SECTOR FOR A CRYSTALLINE FLOWGiga, YoshikazuGiga, Mi-HoHontani, Hidekataopen accesscrystalline flowselfsimilar expanding solutionsa priori estimate410For a given sector a selfsimilar expanding solution to a crystalline flow is constructed. The solution is shown to be unique. Because of selfsimilarity the problem is reduced to solve a system of algebraic equations of degree two. The solution is constructed by a method of continuity and obtained by solving associated ordinary differential equations. The selfsimilar expanding solution is useful to construct a crystalline flow from an arbitrary polygon not necessarily admissible.Department of Mathematics, Hokkaido University2004engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83802http://hdl.handle.net/2115/6945610.14943/83802Hokkaido University Preprint Series in Mathematics649119https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69456/1/pre649.pdfapplication/pdf278.93 KB2004