Finger growth and selection in a Poisson field

DOI10.1007/s10955-019-02454-6zbMath1435.35135OpenAlexW2990359997MaRDI QIDQ2302677

N. Robb McDonald

Publication date: 26 February 2020

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-019-02454-6

zbMATH Keywords

conformal mappingfree boundary problemsLaplacian growthPoisson paths

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35)

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The Saint‐Venant type isoperimetric inequalities for assessing saturated water storage in lacunary shallow perched aquifers ⋮ On normal and non-normal wave statistics implied by a canonical-microcanonical Gibbs ensemble of the truncated KdV system

Cites Work

• Unnamed Item
• Planar elliptic growth
• Poisson growth
• Laplacian path models.
• Path selection in a Poisson field
• Bifurcation dynamics of natural drainage networks
• Laplacian growth, elliptic growth, and singularities of the Schwarz potential
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid

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