@article{07a9e864592f44a99f73752cdcb6e0a8,
title = "Feedback Stabilization of Stem Growth",
abstract = "The paper studies a PDE model describing the elongation of a plant stem and its bending as a response to gravity. For a suitable range of parameters in the defining equations, it is proved that a feedback response produces stabilization of growth, in the vertical direction.",
author = "Fabio Ancona and Alberto Bressan and Olivier Glass and Wen Shen",
note = "Funding Information: The first author was partially supported by the Istituto Nazionale di Alta Matematica “F.Severi”, through GNAMPA. The research of the second author was partially supported by NSF, with Grant DMS-1714237 “Models of controlled biological growth”. The third author thanks the Agence Nationale de la Recherche for its financial support, with Projects DYFICOLTI (Grant ANR-13-BS01-0003-01) and IFSMACS (Grant ANR-15-CE40-0010). This work was initiated while the first and third authors were visiting the Department of Mathematics at Penn State University, which they thank for the kind hospitality. Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2019",
month = sep,
day = "1",
doi = "10.1007/s10884-017-9633-z",
language = "English (US)",
volume = "31",
pages = "1079--1106",
journal = "Journal of Dynamics and Differential Equations",
issn = "1040-7294",
publisher = "Springer New York",
number = "3",
}