Stress concentration for closely located inclusions in nonlinear perfect conductivity problems
Analysis of PDEs
2018-09-25 v1
Abstract
We study the stress concentration, which is the gradient of the solution, when two smooth inclusions are closely located in a possibly anisotropic medium. The governing equation may be degenerate of Laplace type, with . We prove optimal estimates for the blow-up of the gradient of the solution as the distance between the inclusions tends to zero.
Cite
@article{arxiv.1809.08930,
title = {Stress concentration for closely located inclusions in nonlinear perfect conductivity problems},
author = {Giulio Ciraolo and Angela Sciammetta},
journal= {arXiv preprint arXiv:1809.08930},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1803.04148