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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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/
@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},
year = {1999},
volume = {259},
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
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
%U http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a6/
%G ru
%F ZNSL_1999_259_a6
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.
