Exact solution for the Poisson field in a semi-infinite strip

DOI10.1098/rspa.2016.0908zbMath1404.35145OpenAlexW2607188034WikidataQ52384597 ScholiaQ52384597MaRDI QIDQ4647188

Yossi Cohen, Daniel H. Rothman

Publication date: 4 January 2019

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2016.0908

zbMATH Keywords

analytic solutionPoisson equationgolden ratioLaplacian growthdiffusion fieldramified network

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Conformal mappings of special domains (30C20) Boundary value problems in the complex plane (30E25) Solutions to PDEs in closed form (35C05)

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Cites Work

• Poisson growth
• Path selection in a Poisson field
• Bifurcation dynamics of natural drainage networks
• On brittle cracks under longitudinal shear
• Diffusion in absorbing media
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