dc.contributor.author | Bressan, Alberto | |
dc.contributor.author | Galtung, Sondre Tesdal | |
dc.contributor.author | Sun, Qing | |
dc.date.accessioned | 2023-02-22T09:14:54Z | |
dc.date.available | 2023-02-22T09:14:54Z | |
dc.date.created | 2022-08-15T21:19:00Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | SIAM Journal on Mathematical Analysis. 2022, 54 (4), 4757-4784. | en_US |
dc.identifier.issn | 0036-1410 | |
dc.identifier.uri | https://hdl.handle.net/11250/3053037 | |
dc.description.abstract | The paper studies a class of variational problems, modeling optimal shapes for tree roots. Given a measure μ
describing the distribution of root hair cells, we seek to maximize a harvest functional H
, computing the total amount of water and nutrients gathered by the roots subject to a cost for transporting these nutrients from the roots to the trunk. Earlier papers have established the existence of an optimal measure and a priori bounds. Here we derive necessary conditions for optimality. Moreover, in space dimension d=2
, we prove that the support of an optimal measure is nowhere dense. | en_US |
dc.language.iso | eng | en_US |
dc.title | Optimal shapes for tree roots | en_US |
dc.title.alternative | Optimal shapes for tree roots | en_US |
dc.type | Journal article | en_US |
dc.description.version | submittedVersion | en_US |
dc.source.pagenumber | 4757-4784 | en_US |
dc.source.volume | 54 | en_US |
dc.source.journal | SIAM Journal on Mathematical Analysis | en_US |
dc.source.issue | 4 | en_US |
dc.identifier.doi | 10.1137/21M1440281 | |
dc.identifier.cristin | 2043217 | |
dc.relation.project | Norges forskningsråd: 286822 | en_US |
cristin.ispublished | true | |
cristin.fulltext | preprint | |
cristin.qualitycode | 2 | |