A 2-dimensional shape optimization problem for tree branches

Alberto Bressan; Sondre Tesdal Galtung

doi:10.3934/nhm.2020031

A 2-dimensional shape optimization problem for tree branches

Alberto Bressan, Sondre Tesdal Galtung

Research output: Contribution to journal › Article › peer-review

Abstract

The paper is concerned with a shape optimization problem, where the functional to be maximized describes the total sunlight collected by a distribution of tree leaves, minus the cost for transporting water and nutrient from the base of trunk to all the leaves. In a 2-dimensional setting, the solution is proved to be unique and explicitly determined.

Original language	English (US)
Pages (from-to)	1-29
Number of pages	29
Journal	Networks and Heterogeneous Media
Volume	16
Issue number	1
DOIs	https://doi.org/10.3934/nhm.2020031
State	Published - 2021

All Science Journal Classification (ASJC) codes

Statistics and Probability
Engineering(all)
Computer Science Applications
Applied Mathematics

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abstract = "The paper is concerned with a shape optimization problem, where the functional to be maximized describes the total sunlight collected by a distribution of tree leaves, minus the cost for transporting water and nutrient from the base of trunk to all the leaves. In a 2-dimensional setting, the solution is proved to be unique and explicitly determined.",

author = "Alberto Bressan and Galtung, {Sondre Tesdal}",

note = "Funding Information: Acknowledgments. The research of the first author was partially supported by NSF with grant DMS-1714237, “Models of controlled biological growth”. The research of the second author was partially supported by a grant from the U.S.-Norway Fulbright Foundation. Publisher Copyright: {\textcopyright} American Institute of Mathematical Sciences.",

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N2 - The paper is concerned with a shape optimization problem, where the functional to be maximized describes the total sunlight collected by a distribution of tree leaves, minus the cost for transporting water and nutrient from the base of trunk to all the leaves. In a 2-dimensional setting, the solution is proved to be unique and explicitly determined.

AB - The paper is concerned with a shape optimization problem, where the functional to be maximized describes the total sunlight collected by a distribution of tree leaves, minus the cost for transporting water and nutrient from the base of trunk to all the leaves. In a 2-dimensional setting, the solution is proved to be unique and explicitly determined.

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A 2-dimensional shape optimization problem for tree branches

Abstract

All Science Journal Classification (ASJC) codes

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