“Gradient-free” diffuse approximations of the Willmore functional and Willmore flow
نویسندگان
چکیده
We introduce new diffuse approximations of the Willmore functional and flow. They are based on a corresponding approximation perimeter that has been studied by Amstutz-van Goethem [Interfaces Free Bound. 14 (2012)]. identify candidate for Γ-convergence, prove Γ-limsup statement justify convergence to flow an asymptotic expansion. Furthermore, we present numerical simulations approximation.
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ژورنال
عنوان ژورنال: Asymptotic Analysis
سال: 2023
ISSN: ['0921-7134', '1875-8576']
DOI: https://doi.org/10.3233/asy-221810