Multiscale Analysis of Nutrient Uptake by Plant Roots with Sparse Distribution of Root Hairs: Nonstandard Scaling

DOI10.1137/19M1309626zbMath1469.35022arXiv1911.06293OpenAlexW3179557416WikidataQ113388299 ScholiaQ113388299MaRDI QIDQ5002508

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Publication date: 27 July 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.06293

zbMATH Keywords

nonstandard scalingdomains perforated by very thin tubesnutrient uptake by plantssparse root hairs

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for second-order parabolic equations (35K20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Plant biology (92C80)

Uses Software

• FEniCS
• SyFi
• Netgen

Cites Work

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• Multiple scale and singular perturbation methods
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• On critical parameters in homogenization of perforated domains by thin tubes with nonlinear flux and related spectral problems
• Non-homogeneous Neumann problems in domains with small holes
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Derivation of a Macroscopic Model for Transport of Strongly Sorbed Solutes in the Soil Using Homogenization Theory

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