# Regularity of stationary incompressible Navier-Stokes equations in $\mathbb R^2$

What is the regularity of solutions for the stationary incompressible Navier-Stokes equations \begin{align*} -\Delta u +u\cdot \nabla u + \nabla p &= 0\\ \nabla \cdot u &= 0 \end{align*} in $$\mathbb R^2$$? Where can I find a precise reference with an existence/uniqueness/regularity statement?

• you asked the same question yesterday --- it was downvoted, you deleted it and now you ask again; if you wish to improve the question, please go ahead, but not by deletion. – Carlo Beenakker Jan 16 at 15:17