English

Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations

Analysis of PDEs 2018-05-08 v1

Abstract

Our aim is to prove Liouville type theorems for the three dimensional steady-state Navier-Stokes equations provided the velocity field belongs to some Lorentz spaces. The corresponding statement contains several known results as a particular case.

Keywords

Cite

@article{arxiv.1805.02227,
  title  = {Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations},
  author = {G. Seregin and W. Wang},
  journal= {arXiv preprint arXiv:1805.02227},
  year   = {2018}
}