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Existence of BV flow via elliptic regularization (2305.12374v2)
Published 21 May 2023 in math.DG and math.AP
Abstract: 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 and Tonegawa. 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.
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