2023-03-24T15:07:10Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/696112022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116A singular perturbation problem with integral curvature boundNagase, YukoTonegawa, Yoshihirodiffused interfacecurvaturephase field model410We consider a singular perturbation problem of Modica-Mortola functional as the thickness of diffused interface approaches to zero. We assume that sequence of functions have uniform energy and square-integral curvature bounds in two dimension. We show that the limit measure concentrate on one rectifiable set and has square integrable curvature.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69611info:doi/10.14943/83953https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69611/1/pre803.pdfHokkaido University Preprint Series in Mathematics8031362006engpublisher