A field-road system with a rectifiable set
Analysis of PDEs
2025-07-04 v1
Abstract
The aim of this paper is to define a field-road system in 2D where the road is a merely 1D-rectifiable set. For this purpose we introduce a general setting in order to define a parabolic problem onto a rectifiable set, which is coupled with another more classical parabolic problem outside this set, with transmission conditions.
Cite
@article{arxiv.2507.02451,
title = {A field-road system with a rectifiable set},
author = {Matthieu Bonnivard and Romain Ducasse and Antoine Lemenant and Alessandro Zilio},
journal= {arXiv preprint arXiv:2507.02451},
year = {2025}
}