Gamma-convergence results for phase-field approximations of the 2D-Euler Elastica Functional
Luca Mugnai (2013)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We establish some new results about the -limit, with respect to the -topology, of two different (but related) phase-field approximations ℰ ε ε , x10ff65; ℰ ε ε of the so-called Euler’s Elastica Bending Energy for curves in the plane. In particular we characterize the-limit as → 0 of ℰ, and show that in general the -limits of ℰand x10ff65; ℰ ε do not coincide on indicator functions of sets with non-smooth boundary. More precisely we show that the domain of the-limit...