English

On convergence of arbitrary D-solution of steady Navier--Stokes system in 2D exterior domains

Analysis of PDEs 2019-02-20 v2 Mathematical Physics math.MP

Abstract

We study solutions to stationary Navier Stokes system in two dimensional exterior domain. We prove that any such solution with finite Dirichlet integral converges at infinity uniformly. No additional condition (on symmetry or smallness) are assumed.

Keywords

Cite

@article{arxiv.1802.04656,
  title  = {On convergence of arbitrary D-solution of steady Navier--Stokes system in 2D exterior domains},
  author = {Mikhail Korobkov and Konstantinas Pileckas and Remigio Russo},
  journal= {arXiv preprint arXiv:1802.04656},
  year   = {2019}
}

Comments

21 pages