2018/12/29 by Anna Dall'Acqua, Anna Dall’Acqua, Chun-Chi Lin +5
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · Mathematics · #35K41 #53C44 #Analysis of PDEs (math.AP) #FOS: Mathematics #Gene Regulatory Network Analysis #Nonlinear Dynamics and Pattern Formation #Slime Mold and Myxomycetes Research #math.AP #msc:35K41 #msc:35K52 #msc:35K61 #msc:53C44 #primary 35K52 #secondary 35K61
paper · pdf · doi:10.48550/arxiv.1812.11367
arxiv created 2018/12/29 · openalex publication_date 2018/12/29 · arxiv updated 2019/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We provide a long-time existence and sub-convergence result for the elastic flow of a three network in ℝn under some mild topological assumptions. The evolution is such that the sum of the elastic energies of the three curves plus their weighted lengths decrease in time. Natural boundary conditions are considered at the boundary of the curves and at the triple junction.