The large diffusion limit for the heat equation with a dynamical boundary condition
Analysis of PDEs
2018-06-19 v1
Abstract
We study the heat equation on a half-space with a linear dynamical boundary condition. Our main aim is to show that, if the diffusion coefficient tends to infinity, then the solutions converge (in a suitable sense) to solutions of the Laplace equation with the same dynamical boundary condition.
Cite
@article{arxiv.1806.06308,
title = {The large diffusion limit for the heat equation with a dynamical boundary condition},
author = {Marek Fila and Kazuhiro Ishige and Tatsuki Kawakami},
journal= {arXiv preprint arXiv:1806.06308},
year = {2018}
}