Well-posedness of the two-dimensional stationary Navier--Stokes
equations around a uniform flow
Well-posedness of the two-dimensional stationary Navier--Stokes
equations around a uniform flow
In this paper, we consider the solvability of the two-dimensional stationary Navier--Stokes equations on the whole plane $\mathbb{R}^2$. In [6], it was proved that the stationary Navier--Stokes equations on $\mathbb{R}^2$ is ill-posed for solutions around zero. In contrast, considering solutions around the non-zero constant flow, the perturbed system has a …