Preprint

Inserted: 26 nov 2024
Last Updated: 26 nov 2024

Year: 2024

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.

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• manuscript.pdf