12 citations · 18 across the 4 of their papers we have counts for
6 papers
Elastic flow of networks: short-time existence result
Anna Dall'Acqua, Chun-Chi Lin, Paola Pozzi
In this paper we study the -gradient flow of the penalized elastic energy on networks of -curves in for . Each curve is fixed at one end-point and at the…
Flow of elastic networks: long-time existence result
Anna Dall'Acqua, Chun-Chi Lin, Paola Pozzi
We provide a long-time existence and sub-convergence result for the elastic flow of a three network in under some mild topological assumptions. The evolution is su…
Some minimization problems for planar networks of elastic curve
Anna Dall'Acqua, Alessandra Pluda
In this note we announce some results that will appear in [6] (joint work with also Matteo Novaga) on the minimization of the functional , where …
The elastic flow of curves in the hyperbolic plane
Anna Dall'Acqua, Adrian Spener
We consider closed curves in the hyperbolic space moving by the -gradient flow of the elastic energy and prove well-posedness and long time existence. Under the additional pen…
The Łojasiewicz-Simon gradient inequality for open elastic curves
Anna Dall'Acqua, Paola Pozzi, Adrian Spener
In this paper we consider the elastic energy for open curves in Euclidean space subject to clamped boundary conditions and obtain the Łojasiewicz-Simon gradient inequality for this…
Willmore-Helfrich L^{2}-flow of curves with natural boundary conditions
Anna Dall'Acqua, Paola Pozzi
We consider regular open curves in R^n with fixed boundary points and moving according to the L^{2}-gradient flow for a generalisation of the Helfrich functional. Natural boundary…