2025/05/14 by Antonia Diana, Diana, Antonia
Computer Science · Mathematics · #$35A01$ #$35G31$ #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Primary $53E40$
paper · pdf · doi:10.48550/arxiv.2505.09449
openalex publication_date 2025/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the asymptotic stability of the length-penalized elastic flow of curves with boundary points constrained to the x-axis in ℝ2. The main tool in our analysis is the Lojasiewicz--Simon inequality, which is used to prove that the flow smoothly converges to an elastica.