REVIEW 2 cited by
Mean curvature flow with obstacles: a viscosity approach
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We introduce a level-set formulation for the mean curvature flow with obstacles and show existence and uniqueness of a viscosity solution. These results generalize a well known viscosity approach for the mean curvature flow without obstacle by Evans and Spruck and Chen, Giga and Goto in 1991. In addition, we show that this evolution is consistent with the variational scheme introduced by Almeida, Chambolle and Novaga (2012) and we study the long time behavior of our viscosity solutions.
Forward citations
Cited by 2 Pith papers
-
Generic mean curvature flow with obstacles
Almost every level set of the viscosity solution to obstacle-constrained mean curvature flow is a distributional (BV) solution of the obstacle problem.
-
Existence of weak solutions to volume-preserving mean curvature flow with obstacles
Global weak solutions to volume-preserving mean curvature flow with obstacles exist in all dimensions by Allen-Cahn phase-field approximation.
Discussion (0). Continue with ORCID to comment.