Satoru Aimi — Neckpinchhttps://neckpinch.com/authors/satoru-aimi/New arXiv papers by Satoru Aimi, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Level set mean curvature flow with Neumann boundary conditionshttps://neckpinch.com/papers/2103.16386/arxiv:2103.16386Tue, 30 Mar 2021 00:00:00 GMTSatoru Aimi — We investigate the relation between the level set approach and the varifold approach for the mean curvature flow with Neumann boundary conditions. With an appropriate initial data, we prove that the almost all level sets of the unique viscosity level set solution satisfy Brakke's inequality and a generalized Neumann boundary condition.Mean curvature flowWeak & singular flowsBoundaries & non-compactFree boundary & capillary