5 citations · 14 across the 7 of their papers we have counts for
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math.AP2009★ 3 cited
Approximation of the Helfrich's functional via Diffuse Interfaces
Giovanni Bellettini, Luca Mugnai
We give a rigorous proof of the approximability of the so-called Helfrich's functional via diffuse interfaces, under a constraint on the ratio between the bending rigidity and the…
math.AP2009★ 1 cited
Convergence of perturbed Allen-Cahn equations to forced mean curvature flow
Luca Mugnai, Matthias Röger
We study perturbations of the Allen-Cahn equation and prove the convergence to forced mean curvature flow in the sharp interface limit. We allow for perturbations that are square-i…