  We investigate the problem of classification of solutions for the steady
Navier-Stokes equations in any cone-like domains. In the form of separated
variables, $$u(x,y)=\left(
  \begin{array}{c}
  \varphi_1(r)v_1(\theta)
  \varphi_2(r)v_2(\theta)
  \end{array}
  \right) ,$$ where $x=r\cos\theta$ and $y=r\sin\theta$ in polar coordinates,
we obtain the expressions of all smooth solutions with $C^0$ Dirichlet boundary
condition. In particular, it shows that (i) some solutions are found, which are
H\"{o}lder continuous on the boundary, but their gradients blow up at the
corner; (ii) all solutions in the entire plane of $\mathbb{R}^2$ like harmonic
functions or Stokes equations, are polynomial expressions.
