2024-03-28T13:10:50Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/692212022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Stability of a stationary solution for evolving boundaries of symmetric three-phases driven by surface diffusionIto, K.Kohsaka, Y.free boundary problemtriple junctionglobal existencestabilitysurface diffusion410We prove that the sharp interface model for a three-phase boundary motion by surface diffusion proposed by H. Garcke and A. Novick-Cohen admits a unique global solution provided the initial data fulfills a certain symmetric criterion and is also close to a minimizer of the energy under an area-constraint. This minimizer is also a stationary solution of the present model. Moreover we prove that the global solution converges to the minimizer of the energy as time goes to infinity.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69221info:doi/10.14943/83617https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69221/1/pre471.pdfHokkaido University Preprint Series in Mathematics4711361999-09-01engpublisher