Asymptotic analysis for a second order curved thin film
Analysis of PDEs
2022-03-16 v1
Abstract
We consider a second order thin curved film whose behavior is governed by an energy made up of a first order nonlinear part depending on the gradient of the deformation augmented by a quadratic second order part depending on the tensor of second derivatives of the deformation. We carry out a 3D-2D analysis through an asymptotic expansion in powers of the thickness of the film as it tends to zero.
Keywords
Cite
@article{arxiv.2203.07766,
title = {Asymptotic analysis for a second order curved thin film},
author = {Hamdi Zorgati},
journal= {arXiv preprint arXiv:2203.07766},
year = {2022}
}