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math.DGNov 1, 2016
22
citations (OpenAlex)
authors
  • Carlo Mantegazza
  • Matteo Novaga
  • Alessandra Pluda
  • Felix Schulze
institutions
  • Scuola Superiore Meridionale
  • University of Naples Federico II
  • University of Pisa
  • University of Warwick
arXiv abstractPDF
paper

Evolution of networks with multiple junctions

arXiv:1611.08254

Abstract

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.

Cited by in corpus (11)

  • The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions
  • On the existence of canonical multi-phase Brakke flows
  • Lagrangian mean curvature flow with boundary
  • Motion of grain boundaries with dynamic lattice misorientations and with triple junctions drag
  • Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities
  • Flow of elastic networks: long-time existence result
  • Large time asymptotic behavior of grain boundaries motion with dynamic lattice misorientations and with triple junctions drag
  • Anisotropic curvature flow of immersed networks
  • Uniqueness of regular shrinkers with 2 closed regions
  • A converging finite element scheme for motion by curvature of a network with a triple junction
  • Stability of regular shrinkers in the network flow
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