Research profile

Fumihiko Onoue

Works on phase fields & multiphase flows, weak & singular flows and boundaries & non-compact.

NP-RC-4455000000-0002-4031-7681

4
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2
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Phase fields & multiphase flowsWeak & singular flowsBoundaries & non-compactMean curvature flow

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  1. Keisuke Takasao

    1 joint worklatest 2018

  2. Yoshikazu Giga

    1 joint worklatest 2018

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Papers

Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2018

math.APWider flowsv2arXiv:1810.09107

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 mean curvature flow with Dirichlet or dynamic boundary conditions. In order to show the existence of the limit, we apply the phase field method under the vanishing on the boundary and the boundedness of the discrepancy measure. For this purpose, we extend the usual Brakke flow under these boundary conditions by the first variations for varifolds on the boundary.

Mean curvature flowWeak & singular flowsBoundaries & non-compactPhase fields & multiphase flows
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