On the asymptotic behaviour of solutions of the stationary Navier-Stokes equations in dimension 3
The paper deals with the incompressible steady three-dimensional Navier-Stokes equations with a body force both in the full space and in an exterior domain. The velocity vanishes at infinity. Since the pressure is uniquely determined by the body force and the velocity up to an additive constant, under solution of the system only the velocity is meant. The aim of the paper is to study the asymptotic behavior of the solutions at infinity when the body force has the special form. Namely, the asymptotic behavior of the solutions with a body force, whose asymptotic behavior at infinity is homogeneous of degree \(-3\), is studied.
scientific article; zbMATH DE number 6687581
scientific article