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math.AP2024★ 1 cited
Self-regulated biological transportation structures with general entropy dissipation: 2D case and leaf-shaped domain
Clarissa Astuto, Peter Markowich, Simone Portaro +1
In recent years, the study of biological transportation networks has attracted significant interest, focusing on their self-regulating, demand-driven nature. This paper examines a…
math.AP2023
The mathematical theory of Hughes' model: a survey of results
Debora Amadori, Boris Andreianov, Marco Di Francesco +9
We provide an overview of the results on Hughes' model for pedestrian movements available in the literature. After the first successful approaches to solving a regularised version…