English

On the existence of solutions to the planar exterior Navier Stokes system

Analysis of PDEs 2012-07-17 v1

Abstract

We consider the stationary incompressible Navier Stokes equation in the exterior of a disk B with non-zero Dirichlet boundary conditions on the disk and zero boundary conditions at infinity. We prove the existence of solutions for an open set of boundary conditions without symmetry.

Keywords

Cite

@article{arxiv.1207.3779,
  title  = {On the existence of solutions to the planar exterior Navier Stokes system},
  author = {Matthieu Hillairet and Peter Wittwer},
  journal= {arXiv preprint arXiv:1207.3779},
  year   = {2012}
}