Stationary anisotropic Stokes, Oseen and Navier–Stokes systems: Periodic solutions in ℝ ^<i>n</i>

First, the solution uniqueness, existence and regularity for stationary anisotropic (linear) Stokes generalised Oseen systems with constant viscosity coefficients in a compressible framework are analysed range of periodic Sobolev (Bessel-potential) spaces on $n$-dimensional flat torus. By Galerkin algorithm, linear results employed to show (non-linear) Navier-Stokes incompressible system torus space any $n\ge 2$. Then uniqueness established $n\in\{2,3,4\}$.