Yusuke Oka — Neckpinchhttps://neckpinch.com/authors/yusuke-oka/New arXiv papers by Yusuke Oka, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT Quenching for axisymmetric hypersurfaces under forced mean curvature flowshttps://neckpinch.com/papers/2401.05156/arxiv:2401.05156Wed, 10 Jan 2024 00:00:00 GMTHiroyoshi Mitake, Yusuke Oka, Hung Vinh Tran — Here, we study the motion of axisymmetric hypersurfaces \Γₜ\_(t≥0) evolved by forced mean curvature flows in the periodic setting. We establish conditions that quenching occurs or does not occur in terms of the initial data and forcing term. We also study the locations where the quenching happens in some special cases.Mean curvature flowVolume-preserving & constrained flows