Asymptotic and Numerical Analysis of a Porous Medium Model for Transpiration-Driven Sap Flow in Trees

DOI10.1137/17M1135232zbMath1406.35279arXiv1706.05557OpenAlexW2651877972MaRDI QIDQ4577825

John M. Stockie, Bebart Maisar Janbek

Publication date: 3 August 2018

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

Full work available at URL: https://arxiv.org/abs/1706.05557

zbMATH Keywords

finite volume methodporous media flowasymptotic serietree sap transport

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Asymptotic expansions of solutions to PDEs (35C20) Plant biology (92C80) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Cites Work

• A boundary-layer solution for flow at the soil-root interface
• Perturbation methods in applied mathematics

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