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A boundary-layer solution for flow at the soil-root interface

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Publication:888296
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DOI10.1007/s00285-014-0813-8zbMath1446.92219OpenAlexW2027054403WikidataQ51068765 ScholiaQ51068765MaRDI QIDQ888296

Daniel M. Tartakovsky, Gerardo Severino

Publication date: 30 October 2015

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-014-0813-8


zbMATH Keywords

singular perturbationwater uptakematching asymptoticplant transpirationrhizosphere


Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Physiological flows (76Z05) Plant biology (92C80)


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Asymptotic and Numerical Analysis of a Porous Medium Model for Transpiration-Driven Sap Flow in Trees ⋮ Effects of hydraulic soil properties on vegetation pattern formation in sloping landscapes



Cites Work

  • A model for water uptake by plant roots
  • A mathematical model for water and nutrient uptake by plant root systems
  • Numerical Methods for the Simulation of Flow in Root-Soil Systems
  • Stochastic averaging of nonlinear flows in heterogeneous porous media
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