English

Asymptotic stability of local Helfrich minimizers

Analysis of PDEs 2015-10-07 v1

Abstract

We show that local minimizers of the Canham-Helfrich energy are asymptotically stable with respect to a model for relaxational fluid vesicle dynamics that we already studied in previous papers ([12, 11]). The proof is based on a Lojasiewicz-Simon inequality.

Keywords

Cite

@article{arxiv.1510.01521,
  title  = {Asymptotic stability of local Helfrich minimizers},
  author = {Daniel Lengeler},
  journal= {arXiv preprint arXiv:1510.01521},
  year   = {2015}
}