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math.AP2023
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.
math.DG2023
Existence of BV flow via elliptic regularization
Kiichi Tashiro
We investigate a mean curvature flow obtained via elliptic regularization, and prove that it is not only a Brakke flow, but additionally a generalized BV flow proposed by Stuvard a…