An estimate of the maximum modulus of a solution of 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. 34-44
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It is proved that the maximum modulus of a solution $v(x,t)$ of the initial boundary-value problem for the time-dependent Stokes system with zero boundary data is bounded in terms of the maximum modulus of the initial data with a constant which depends only on the domain.
@article{ZNSL_1977_69_a2,
author = {V. N. Vasil'ev and V. A. Solonnikov},
title = {An estimate of the maximum modulus of a solution of the linear, time-dependent system of {Navier{\textendash}Stokes} equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {34--44},
year = {1977},
volume = {69},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a2/}
}
TY - JOUR AU - V. N. Vasil'ev AU - V. A. Solonnikov TI - An estimate of the maximum modulus of a solution of the linear, time-dependent system of Navier–Stokes equations JO - Zapiski Nauchnykh Seminarov POMI PY - 1977 SP - 34 EP - 44 VL - 69 UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a2/ LA - ru ID - ZNSL_1977_69_a2 ER -
%0 Journal Article %A V. N. Vasil'ev %A V. A. Solonnikov %T An estimate of the maximum modulus of a solution of the linear, time-dependent system of Navier–Stokes equations %J Zapiski Nauchnykh Seminarov POMI %D 1977 %P 34-44 %V 69 %U http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a2/ %G ru %F ZNSL_1977_69_a2
V. N. Vasil'ev; V. A. Solonnikov. An estimate of the maximum modulus of a solution of 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. 34-44. http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a2/