  We prove partial regularity of suitable weak solutions to the Navier--Stokes
equations at the boundary in irregular domains. In particular, we provide a
criterion which yields continuity of the velocity field in a boundary point and
obtain solutions which are continuous in a.a. boundary boundary point (their
existence is a consequence of a new maximal regularity result for the Stokes
equations in domains with minimal regularity). We suppose that we have a
Lipschitz boundary with locally small Lipschitz constant which belongs to the
fractional Sobolev space $W^{2-1/p,p}$ for some $p>\frac{15}{4}$. The same
result was previously only known under the much stronger assumption of a
$C^2$-boundary.
