Seminar Analysis: Alessandra Pluda ( Università di Pisa)

Networks of curves in the plane moving by curvature

I consider the motion by curvature of a network of curves in the Euclidean plane and I discuss existence, uniqueness, and asymptotic behavior of the evolution. In particular, I focus on two model cases: a regular embedded network composed by three curves with fixed endpoints (triod) and a regular embedded network composed by two curves, one of which is closed (spoon). After talking about the state of art of the problem, I will present some new and possibly ”incoming” results obtained with Carlo Mantegazza and Matteo Novaga.

Export event as iCal