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

Wittwer, Peter; Hillairet, Matthieu

Wittwer, Peter; Hillairet, Matthieu (2013), On the existence of solutions to the planar exterior Navier Stokes system, Journal of Differential Equations, 255, 10, p. 2996–3019. http://dx.doi.org/10.1016/j.jde.2013.07.003

Type

Article accepté pour publication ou publié

External document link

http://hal.archives-ouvertes.fr/hal-00718393

Date

2013

Journal name

Journal of Differential Equations

Volume

255

Number

Publisher

Elsevier

Pages

2996–3019

Abstract (EN)

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.

Subjects / Keywords

Navier Stokes equation