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},
year = {2002},
volume = {288},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a9/}
}
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/