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arxiv: 1009.5826 · v1 · pith:TC4ZN5X4new · submitted 2010-09-29 · 🧮 math.AP

Gamma-convergence results for phase-field approximations of the 2D-Euler Elastica Functional

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keywords approximationselasticaphase-fieldresultsbendingcurvesd-eulerdifferent
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We establish some new results about the $\Gamma$-limit, with respect to the $L^1$-topology, of two different (but related) phase-field approximations of the so-called Euler's Elastica Bending Energy for curves in the plane.

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