Integral equation method for a Robin-type traction problem in a periodic domain
Analysis of PDEs
2022-08-05 v1
Abstract
In this note, we consider a Robin-type traction problem for a linearly elastic body occupying an infinite periodically perforated domain. After proving the uniqueness of the solution we use periodic elastic layer potentials to show that the solution can be written as the sum of a single layer potential, a constant function and a linear function of the space variable. The density of the periodic single layer potential and the constant are identified as the unique solutions of a certain integral equation.
Cite
@article{arxiv.2208.02702,
title = {Integral equation method for a Robin-type traction problem in a periodic domain},
author = {Matteo Dalla Riva and Gennady Mishuris and Paolo Musolino},
journal= {arXiv preprint arXiv:2208.02702},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1306.6177