Y. Tonegawa

activity

20072026

most citedA general regularity theory for weak mean curvature flow

46 citations · 221 across the 21 of their papers we have counts for

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Showing 2021 · math.APShow all

2 papers · 2 filters

math.AP2021★ 9 cited

On the existence of canonical multi-phase Brakke flows

Salvatore Stuvard, Yoshihiro Tonegawa

This paper establishes the global-in-time existence of a multi-phase mean curvature flow, evolving from an arbitrary closed rectifiable initial datum, which is a Brakke flow and a…

math.AP2021

Brakke's formulation of velocity and the second order regularity property

Ryunosuke Mori, Eita Tomimatsu, Yoshihiro Tonegawa

Suppose that a family of $k$ -dimensional surfaces in $R^{n}$ evolves by the motion law of $v = h + u^{⊥}$ in the sense of Brakke's formulation of velocity, where $v$ is the nor…