3 papers
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.DG2024
Existence of weak mean curvature flow with prescribed contact angle via elliptic regularization
Kiichi Tashiro
In the present paper, we study the existence of Brakke-type weak mean curvature flow satisfying a prescribed contact angle condition for a general angle via Ilman…
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.