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

preprint2010arXivOpen access

Abstract

We establish some new results about the ΓΓ-limit, with respect to the L1L^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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