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arXiv · 1009.5826

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

Luca Mugnai
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Abstract

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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Luca Mugnai. 2010-09-29. Gamma-convergence results for phase-field approximations of the 2D-Euler Elastica Functional. https://arxiv.org/abs/1009.5826

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