5 citations · 6 across the 2 of their papers we have counts for
4 papers
Existence and Uniqueness of the Motion by Curvature of regular networks
Michael Gößwein, Julia Menzel, Alessandra Pluda
We prove existence and uniqueness of the motion by curvatureof networks in when the initial datum is of class , with triple junction where the u…
Long Time Existence of Solutions to an Elastic Flow of Networks
Harald Garcke, Julia Menzel, Alessandra Pluda
The --gradient flow of the elastic energy of networks leads to a Willmore type evolution law with nontrivial nonlinear boundary conditions. We show local in time existence and…
Willmore Flow of planar networks
Harald Garcke, Julia Menzel, Alessandra Pluda
Geometric gradient flows for elastic energies of Willmore type play an important role in mathematics and in many applications. The evolution of elastic curves has been studied in d…
Counting Finite Index Subrings of
Stanislav Atanasov, Nathan Kaplan, Benjamin Krakoff +1
We count subrings of small index of , where the addition and multiplication are defined componentwise. Let denote the number of subrings of index . For an…