A field-road system with a rectifiable set

Matthieu Bonnivard; Romain Ducasse; Antoine Lemenant; Alessandro Zilio

doi:10.4171/ifb/551

JournalsifbOnline First

A field-road system with a rectifiable set

Matthieu Bonnivard
CNRS, INSA Lyon, Universite Claude Bernard Lyon 1, Université Jean Monnet, ICJ UMR5208, Ecully, France
Romain Ducasse
CNRS, Laboratoire Jacques-Louis Lions (LJLL), Paris, France
- MathSciNet
- ORCID
Antoine Lemenant
UMR 7502 IECL, Vandoeuvre-lès-Nancy, France
Alessandro Zilio
CNRS, Laboratoire Jacques-Louis Lions (LJLL), Paris, France
- MathSciNet
- ORCID

Download PDF

A subscription is required to access this article.

Abstract

The aim of this paper is to define a field-road system in 2D where the road is a merely $1$ D-rectifiable set. For this purpose we introduce a general setting in order to define a parabolic problem on a rectifiable set, which is coupled with another more classical parabolic problem outside this set, with transmission conditions.

Cite this article

Matthieu Bonnivard, Romain Ducasse, Antoine Lemenant, Alessandro Zilio, A field-road system with a rectifiable set. Interfaces Free Bound. (2025), published online first

DOI 10.4171/IFB/551