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

Matthieu Hillairet (1) , Peter Wittwer (2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 Département de Physique Théorique

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.

Domaines: Equations aux dérivées partielles [math.AP]

Matthieu Hillairet, Peter Wittwer. On the existence of solutions to the planar exterior Navier Stokes system. Journal of Differential Equations, 2013, 255 (10), pp.2996-3019. ⟨hal-00718393⟩