Asymptotics of the gradient of solutions to the perfect conductivity problem
Analysis of PDEs
2019-04-05 v2
Abstract
In the perfect conductivity problem of composite material, the gradient of solutions can be arbitrarily large when two inclusions are located very close. To characterize the singular behavior of the gradient in the narrow region between two inclusions, we capture the leading term of the gradient and give a fairly sharp description of such asymptotics.
Keywords
Cite
@article{arxiv.1811.03468,
title = {Asymptotics of the gradient of solutions to the perfect conductivity problem},
author = {HaiGang Li and YanYan Li and ZhuoLun Yang},
journal= {arXiv preprint arXiv:1811.03468},
year = {2019}
}
Comments
The exposition is improved. to appear in Multiscale Modeling and Simulation