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math.AP2026
A note on generalized BV mean curvature flow with a critical forcing term
Kiichi Tashiro
In this note, we show that a weak mean curvature flow with critical forcing term obtained by Liu--Tonegawa (2024) satisfies the BV-type area change formula, that is, their flow is…
math.AP2024
Time global existence of generalized BV flow via the Allen--Cahn equation
Kiichi Tashiro
We show that a mean curvature flow obtained as the limit of the Allen--Cahn equation is not only a Brakke flow but also a generalized BV flow proposed by Stuvard and Tonegawa.