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20132026
most citedExistence and regularity of mean curvature flow with transport term in higher dimensions

25 citations · 39 across the 13 of their papers we have counts for

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Showing 2018Show all

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math.AP2018

A varifold formulation of mean curvature flow with Dirichlet or dynamic boundary conditions

Yoshikazu Giga, Fumihiko Onoue, Keisuke Takasao

We consider the sharp interface limit of the Allen-Cahn equation with Dirichlet or dynamic boundary conditions and give a varifold characterization of its limit which is formally a…

math.AP2018

Convergence of Landau-Lifshitz equation to multi-phase Brakke's mean curvature flow

Keisuke Takasao

We study the convergence of the system of the Allen-Cahn equations to the weak solution for the multi-phase mean curvature flow in the sense of Brakke. The Landau-Lifshitz equation…