Curve shortening flow in heterogeneous media

Annalisa Cesaroni, Matteo Novaga, Enrico Valdinoci

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In recent years, there has been a growing interest in geometric evolutions in heterogeneous media. Here we consider curvature driven flows of planar curves with an additional space-dependent forcing term, and we look for estimates which depend only on the L∞-norm of the forcing term. Our motivation comes from a homogenization problem, which we can rigorously solve in the special case when the initial curve is a graph and the forcing term does not depend on the vertical direction. In such case, we are also able to define a solution of the evolution even if the forcing term is just a bounded function, not necessarily continuous.

Original languageEnglish
Pages (from-to)485-505
Number of pages21
JournalInterfaces and Free Boundaries
Volume13
Issue number4
DOIs
Publication statusPublished - 19 Dec 2011
Externally publishedYes

Fingerprint Dive into the research topics of 'Curve shortening flow in heterogeneous media'. Together they form a unique fingerprint.

Cite this