Stationary Navier–Stokes equations with non-homogeneous boundary condition in the unbounded domain

Abstract

In this paper the stationary Navier–Stokes system with non-homogeneous boundary condition is studied in the unbounded domain. The extension of the boundary value satisfying Leray’s inequality is constructed. Therefore the non-homogeneous boundary problem could be reduced to the homogeneous one which was already investigated before.

Keywords

• Navier-Stokes system
• Leray’s inequality
• unbounded domain