Estimates for Elliptic Systems in a Narrow Region arising from Composite Materials
Analysis of PDEs
2018-08-13 v1
Abstract
In this paper, we establish the pointwise upper and lower bounds of the gradients of solutions to a class of elliptic systems, including linear systems of elasticity, in a general narrow region and in all dimensions. This problem arises from the study of damage analysis of high-contrast composite materials. Our results show that the damage may initiate from the narrowest place.
Keywords
Cite
@article{arxiv.1808.03384,
title = {Estimates for Elliptic Systems in a Narrow Region arising from Composite Materials},
author = {Hongjie Ju and Haigang Li and Longjuan Xu},
journal= {arXiv preprint arXiv:1808.03384},
year = {2018}
}
Comments
21 pages, to appear in Quart. Appl. Math