Theoretical basis of the method of successive approximations for stationary problems of the mechanics of a viscous fluid with free separation boundaries
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Tome 115 (1982), pp. 228-235
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V. Ya. Rivkind. Theoretical basis of the method of successive approximations for stationary problems of the mechanics of a viscous fluid with free separation boundaries. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Tome 115 (1982), pp. 228-235. http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a18/
@article{ZNSL_1982_115_a18,
author = {V. Ya. Rivkind},
title = {Theoretical basis of the method of successive approximations for stationary problems of the mechanics of a~viscous fluid with free separation boundaries},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {228--235},
year = {1982},
volume = {115},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a18/}
}
TY - JOUR
AU - V. Ya. Rivkind
TI - Theoretical basis of the method of successive approximations for stationary problems of the mechanics of a viscous fluid with free separation boundaries
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1982
SP - 228
EP - 235
VL - 115
UR - http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a18/
LA - ru
ID - ZNSL_1982_115_a18
ER -
%0 Journal Article
%A V. Ya. Rivkind
%T Theoretical basis of the method of successive approximations for stationary problems of the mechanics of a viscous fluid with free separation boundaries
%J Zapiski Nauchnykh Seminarov POMI
%D 1982
%P 228-235
%V 115
%U http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a18/
%G ru
%F ZNSL_1982_115_a18
One considers problems with free separation boundaries for flows of a viscous incompressible fluid, described by a complete system of Navier–Stokes equations. One presents a scheme for the construction of approximate methods, giving the possibility to obtain the foundation of energy-type estimates. These schemes are constructed on the basis of a priori estimates, obtained previously at the proof of existence and uniqueness theorems.
