Existence and regularity theorems of one-dimensional Brakke flows
Lami Kim
Yonsei University, Seoul, Republic of KoreaYoshihiro Tonegawa
Tokyo Institute of Technology, Japan
Abstract
Given a closed countably 1-rectifiable set in with locally finite -dimensional Hausdorff measure, we prove that there exists a Brakke flow starting from the given set with the following regularity property. For almost all time, the flow locally consists of a finite number of embedded curves of class~ whose endpoints meet at junctions with angles of either 0, 60 or 120 degrees.
Cite this article
Lami Kim, Yoshihiro Tonegawa, Existence and regularity theorems of one-dimensional Brakke flows. Interfaces Free Bound. 22 (2020), no. 4, pp. 505–550
DOI 10.4171/IFB/448