English

Behaviour of the Stokes operators under domain perturbation

Analysis of PDEs 2019-03-20 v1 Functional Analysis

Abstract

Depending of the geometry of the domain, one can define --at least-- three different Stokes operators with Dirichlet boundary conditions. We describe how the resolvents of these Stokes operators converge with respect to a converging sequence of domains.

Keywords

Cite

@article{arxiv.1903.08077,
  title  = {Behaviour of the Stokes operators under domain perturbation},
  author = {Sylvie Monniaux},
  journal= {arXiv preprint arXiv:1903.08077},
  year   = {2019}
}