Approximation of the Helfrich's functional via Diffuse Interfaces

Giovanni Bellettini and Luca Mugnai

Contact the author: Please use for correspondence this email.
Submission date: 25. Nov. 2009
Pages: 35
published in: SIAM journal on mathematical analysis, 42 (2010) 6, p. 2402-2433 
DOI number (of the published article): 10.1137/09077549X
Bibtex
with the following different title: Approximation of Helfrich's functional via diffuse interfaces
MSC-Numbers: 49J45, 34K26, 49Q1
Download full preprint: PDF (435 kB)

Abstract:
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 Gauss-rigidity.