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20072026
most citedGlobal solutions to the volume-preserving mean-curvature flow

5 citations · 14 across the 7 of their papers we have counts for

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math.AP2010★ 2 cited

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

Luca Mugnai

We establish some new results about the -limit, with respect to the -topology, of two different (but related) phase-field approximations of the so-called Euler's Elastica B…

math.AP2010

Confined elastic curves

Patrick W. Dondl, Luca Mugnai, Matthias Röger

We consider the problem of minimizing Euler's elastica energy for simple closed curves confined to the unit disk. We approximate a simple closed curve by the zero level set of a fu…