Geodesic
The solvability of the second initial boundary-value problem for the linear, time-dependent system of Navier--Stokes equations
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 200-218

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In a class of functions with Holder-continuous derivatives unique solvability is is proved for the problem of determining a solution of the linear, time-dependent system of Navier–Stokes equations with boundary data $\sum^3_{j=1}T_{ij}n_j$, $i=1,2,3$, where $n_j$ are the direction cosines of the exterior normal to the boundary and $T_{ij}$ are the components of the stress tensor. 
@article{ZNSL_1977_69_a14,
     author = {V. A. Solonnikov},
     title = {The solvability of the second initial boundary-value problem for the linear, time-dependent system of {Navier--Stokes} equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {200--218},
     publisher = {mathdoc},
     volume = {69},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a14/}
}
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V. A. Solonnikov. The solvability of the second initial boundary-value problem for the linear, time-dependent system of Navier--Stokes equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 200-218. http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a14/