214 citations · 485 across the 38 of their papers we have counts for
3 papers · 1 filter
Evolution of networks with multiple junctions
Carlo Mantegazza, Matteo Novaga, Alessandra Pluda +1
We consider the motion by curvature of a network of curves in the plane and we discuss existence, uniqueness, singularity formation and asymptotic behavior of the flow.
Motion by curvature of networks with two triple junctions
Carlo Mantegazza, Matteo Novaga, Alessandra Pluda
We consider the evolution by curvature of a general embedded network with two triple junctions. We classify the possible singularities and we discuss the long time existence of the…
Non-Existence of Theta-Shaped Self-Similarly Shrinking Networks Moving by Curvature
Pietro Baldi, Emanuele Haus, Carlo Mantegazza
We prove that there are no networks homeomorphic to the Greek "theta" letter (a double cell) embedded in the plane with two triple junctions with angles of degrees, such that…