Quasi linear parabolic PDE posed on a network with non linear Neumann boundary condition at vertices

DOI10.1016/j.jmaa.2021.125154zbMath1460.35196arXiv1807.04032OpenAlexW3164800150MaRDI QIDQ2661290

Isaac Ohavi

Publication date: 3 April 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04032

zbMATH Keywords

junctionnonlinear and non-dynamical Neumann boundary condition

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Classical solutions to PDEs (35A09) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

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• The Fisher-KPP equation over simple graphs: varied persistence states in river networks
• Population dynamics in river networks: analysis of steady states
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• Variational and semigroup methods for waves and diffusion in networks

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