1.
J Evol Equ
; 24(3): 59, 2024.
Artigo
em Inglês
| MEDLINE
| ID: mdl-38966404
RESUMO
We study the evolution of curves with fixed length and clamped boundary conditions moving by the negative L 2 -gradient flow of the elastic energy. For any initial curve lying merely in the energy space we show existence and parabolic smoothing of the solution. Applying previous results on long-time existence and proving a constrained Lojasiewicz-Simon gradient inequality we furthermore show convergence to a critical point as time tends to infinity.