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arxiv: 1004.0341 · v1 · submitted 2010-04-02 · 🧮 math.AP

A phase-field approximation of the Willmore flow with volume constraint

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keywords approximationflowconstraintphase-fieldvolumewillmorediscreteestablished
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The well-posedness of a phase-field approximation to the Willmore flow with volume constraint is established. The existence proof relies on the underlying gradient flow structure of the problem: the time discrete approximation is solved by a variational minimization principle.

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