Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary Navier–Stokes system

We prove exact estimates in Hölder norms of solutions of initial- and boundary-value problems for a Navier–Stokes system with boundary condition $T\cdot\vec{n}=\vec{a}$, where $T$ is the stress tensor and $\vec{n}$ is the unit vector of the normal to the boundary.