The stationary three-dimensional Navier-Stokes Equations with a non-zero constant velocity at infinity

Chérif Amrouche (1) , Huy Hoang Nguyen (1)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

This paper is devoted to some mathematical questions related to the 3-dimensional stationary Navier-Stokes. Our approach is based on a combination of properties of Oseen problems in $\R^3$.

Mots clés: Navier-Stokes equations; Oseen equations; weighted Sobolev spaces; fluid mechanics

Domaines: Equations aux dérivées partielles [math.AP]

Chérif Amrouche, Huy Hoang Nguyen. The stationary three-dimensional Navier-Stokes Equations with a non-zero constant velocity at infinity. 2008. ⟨hal-00206208⟩