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

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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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