TY - JOUR
T1 - Feedback Stabilization of Stem Growth
AU - Ancona, Fabio
AU - Bressan, Alberto
AU - Glass, Olivier
AU - Shen, Wen
N1 - 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:
© 2017, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85039856993
UR - https://www.scopus.com/pages/publications/85039856993#tab=citedBy
U2 - 10.1007/s10884-017-9633-z
DO - 10.1007/s10884-017-9633-z
M3 - Article
AN - SCOPUS:85039856993
SN - 1040-7294
VL - 31
SP - 1079
EP - 1106
JO - Journal of Dynamics and Differential Equations
JF - Journal of Dynamics and Differential Equations
IS - 3
ER -