Existence of BV flow via elliptic regularization. (English) Zbl 07922232
Summary: 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 S. Stuvard and Y. Tonegawa [Adv. Calc. Var. 17, No. 1, 33–78 (2024; Zbl 1533.53077)]. In particular, we show that the change in volume of the evolving phase can be expressed in terms of the generalized mean curvature of the Brakke flow.
Citations:
Zbl 1533.53077References:
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