English

Small-time local stabilization of the two dimensional incompressible Navier-Stokes equations

Analysis of PDEs 2020-10-27 v1 Optimization and Control

Abstract

We provide explicit time-varying feedback laws that locally stabilize the two dimensional internal controlled incompressible Navier-Stokes equations in arbitrarily small time. We also obtain quantitative rapid stabilization via stationary feedback laws, as well as quantitative null controllability with explicit controls having eC/Te^{C/T} costs.

Keywords

Cite

@article{arxiv.2010.13696,
  title  = {Small-time local stabilization of the two dimensional incompressible Navier-Stokes equations},
  author = {Shengquan Xiang},
  journal= {arXiv preprint arXiv:2010.13696},
  year   = {2020}
}