Line-tension limits for line singularities and application to the mixed-growth case
Analysis of PDEs
2022-07-05 v1
Abstract
We study variational models for dislocations in three dimensions in the line-tension scaling. We present a unified approach which allows to treat energies with subquadratic growth at infinity and other regularizations of the singularity near the dislocation lines. We show that the asymptotics via Gamma convergence is independent of the specific choice of the energy and of the regularization procedure.
Keywords
Cite
@article{arxiv.2207.01526,
title = {Line-tension limits for line singularities and application to the mixed-growth case},
author = {Sergio Conti and Adriana Garroni and Roberta Marziani},
journal= {arXiv preprint arXiv:2207.01526},
year = {2022}
}
Comments
65 pages