Bifurcation dynamics of natural drainage networks

DOI10.1098/rsta.2012.0365zbMath1353.86012OpenAlexW2040592518WikidataQ51118773 ScholiaQ51118773MaRDI QIDQ2955582

Daniel H. Rothman, Olivier Devauchelle, Alexander P. Petroff, Hansjörg Seybold

Publication date: 13 January 2017

Published in: Philosophical Transactions 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/rsta.2012.0365

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Soil and rock mechanics (74L10)

Related Items (5)

Path selection in a Poisson field ⋮ Symmetric rearrangement of groundwater-fed streams ⋮ Exact solution for the Poisson field in a semi-infinite strip ⋮ Geodesic Loewner paths with varying boundary conditions ⋮ Finger growth and selection in a Poisson field

Cites Work

• The Loewner equation: maps and shapes
• A guide to stochastic Löwner evolution and its applications
• Scaling limits of loop-erased random walks and uniform spanning trees
• Laplacian path models.
• Laplacian growth as one-dimensional turbulence
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Spontaneous channelization in permeable ground: theory, experiment, and observation

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