TY - JOUR
T1 - A gradient flow for the p-elastic energy defined on closed planar curves
AU - Okabe, Shinya
AU - Pozzi, Paola
AU - Wheeler, Glen
N1 - Funding Information:
This project has been funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)- Projektnummer: 404870139. The first author was partially supported by JSPS KAKENHI Grant numbers 15H02058 and 16H03946. The third author gratefully acknowledges support from ARC Discovery Project DP150100375. The authors would also like to express their gratitude toward the anonymous referee whose suggestions have led to improvements in the paper.
Publisher Copyright:
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2020/10/1
Y1 - 2020/10/1
N2 - We study the evolution of closed inextensible planar curves under a second order flow that decreases the p-elastic energy. A short time existence result for p∈ (1 , ∞) is obtained via a minimizing movements method. For p= 2 , that is in the case of the classic elastic energy, long-time existence is retrieved.
AB - We study the evolution of closed inextensible planar curves under a second order flow that decreases the p-elastic energy. A short time existence result for p∈ (1 , ∞) is obtained via a minimizing movements method. For p= 2 , that is in the case of the classic elastic energy, long-time existence is retrieved.
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U2 - 10.1007/s00208-019-01885-6
DO - 10.1007/s00208-019-01885-6
M3 - Article
AN - SCOPUS:85071121630
SN - 0025-5831
VL - 378
SP - 777
EP - 828
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 1-2
ER -