A mesoscopic model of biological transportation networks

DOI10.4310/CMS.2019.v17.n5.a3zbMath1433.35416arXiv1806.00120OpenAlexW2991954091WikidataQ113691712 ScholiaQ113691712MaRDI QIDQ2282322

Martin Burger, Helene Ranetbauer, Jan Haskovec, Peter Alexander Markowich

Publication date: 7 January 2020

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00120

zbMATH Keywords

network formationstationary solutionsmeasure valued solutionsmesoscopic modeloptimal transport structure

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence theories for optimal control problems involving partial differential equations (49J20) Systems biology, networks (92C42) Pattern formations in context of PDEs (35B36)

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