On reqularity of solutions to two-dimensional equations of the dynamics of fluids with nonlinear viscosity
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Tome 259 (1999), pp. 145-166
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2D equations, describing the motion of generalized Newtonian fluids, are considered. It is shown that for smooth data of corresponding initial-boundary value problems any spatial derivative of the velocity field is a locally Lipschitz function.
@article{ZNSL_1999_259_a6,
author = {O. A. Ladyzhenskaya and G. A. Seregin},
title = {On reqularity of solutions to two-dimensional equations of the dynamics of fluids with nonlinear viscosity},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {145--166},
publisher = {mathdoc},
volume = {259},
year = {1999},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a6/}
}
TY - JOUR AU - O. A. Ladyzhenskaya AU - G. A. Seregin TI - On reqularity of solutions to two-dimensional equations of the dynamics of fluids with nonlinear viscosity JO - Zapiski Nauchnykh Seminarov POMI PY - 1999 SP - 145 EP - 166 VL - 259 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a6/ LA - ru ID - ZNSL_1999_259_a6 ER -
%0 Journal Article %A O. A. Ladyzhenskaya %A G. A. Seregin %T On reqularity of solutions to two-dimensional equations of the dynamics of fluids with nonlinear viscosity %J Zapiski Nauchnykh Seminarov POMI %D 1999 %P 145-166 %V 259 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a6/ %G ru %F ZNSL_1999_259_a6
O. A. Ladyzhenskaya; G. A. Seregin. On reqularity of solutions to two-dimensional equations of the dynamics of fluids with nonlinear viscosity. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Tome 259 (1999), pp. 145-166. http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a6/