2 papers
math.DG2022
Type-0 singularities in the network flow -- Evolution of trees
Carlo Mantegazza, Matteo Novaga, Alessandra Pluda
The motion by curvature of networks is the generalization to finite union of curves of the curve shortening flow. This evolution has several peculiar features, mainly due to the pr…
math.AP2021
Variational models for the interaction of surfactants with curvature -- existence and regularity of minimizers in the case of flexible curves
Christopher Brand, Georg Dolzmann, Alessandra Pluda
Existence and regularity of minimizers for a geometric variational problem is shown. The variational integral models an energy contribution of the interface between two immiscible…