Geodesic
Estimates of solutions of the Stokes equations in S.\,L.~Sobolev spaces with a mixed norm
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Tome 288 (2002), pp. 204-231

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We obtain some estimates of solutions of evolution Stokes and Navier–Stokes equations in a bounded $n$-dimensional domian and we analyse the structure of the solution in the case of half-space using explicit formulas. 
@article{ZNSL_2002_288_a9,
     author = {V. A. Solonnikov},
     title = {Estimates of solutions of the {Stokes} equations in {S.\,L.~Sobolev} spaces with a mixed norm},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {204--231},
     publisher = {mathdoc},
     volume = {288},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a9/}
}
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V. A. Solonnikov. Estimates of solutions of the Stokes equations in S.\,L.~Sobolev spaces with a mixed norm. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Tome 288 (2002), pp. 204-231. http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a9/