Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 9, Tome 59 (1976), pp. 178-254
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V. A. Solonnikov. Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary Navier–Stokes system. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 9, Tome 59 (1976), pp. 178-254. http://geodesic.mathdoc.fr/item/ZNSL_1976_59_a7/
@article{ZNSL_1976_59_a7,
author = {V. A. Solonnikov},
title = {Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary {Navier{\textendash}Stokes} system},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {178--254},
year = {1976},
volume = {59},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_59_a7/}
}
TY - JOUR
AU - V. A. Solonnikov
TI - Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary Navier–Stokes system
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1976
SP - 178
EP - 254
VL - 59
UR - http://geodesic.mathdoc.fr/item/ZNSL_1976_59_a7/
LA - ru
ID - ZNSL_1976_59_a7
ER -
%0 Journal Article
%A V. A. Solonnikov
%T Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary Navier–Stokes system
%J Zapiski Nauchnykh Seminarov POMI
%D 1976
%P 178-254
%V 59
%U http://geodesic.mathdoc.fr/item/ZNSL_1976_59_a7/
%G ru
%F ZNSL_1976_59_a7
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.
