We 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 concentrates on one rectifiable set
and has square integrable curvature.
Publié le : 2007-11-15
Classification:
diffused interface,
curvature,
phase field model,
35J60,
35B25,
35J20,
80A22
@article{1200529813,
author = {Nagase, Yuko and Tonegawa, Yoshihiro},
title = {A singular perturbation problem with integral curvature bound},
journal = {Hiroshima Math. J.},
volume = {37},
number = {1},
year = {2007},
pages = { 455-489},
language = {en},
url = {http://dml.mathdoc.fr/item/1200529813}
}
Nagase, Yuko; Tonegawa, Yoshihiro. A singular perturbation problem with integral curvature bound. Hiroshima Math. J., Tome 37 (2007) no. 1, pp. 455-489. http://gdmltest.u-ga.fr/item/1200529813/