In this section, we consider the heat equation on a plate with thickness h > 0 being heated by a heat source on upper and lower faces of the plate. We obtain an asymptotic profile of the solution as the thickness h > 0 approaches to zero.
@article{arxiv.2009.08890,
title = {Asymptotic profile of solutions to the heat equation on thin plate with boundary heating},
author = {Eun-ho Lee and Woocheol Choi},
journal= {arXiv preprint arXiv:2009.08890},
year = {2020}
}