Control problems and theorems concerning the unique solvability of a~mixed boundary value problem for the three-dimensional Navier--Stokes and Euler equations
Sbornik. Mathematics, Tome 43 (1982) no. 2, pp. 251-273
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In this paper, theorems on the existence of smooth solutions of certain control problems describable by the Navier–Stokes and Euler equations are proved. It is shown that a mixed boundary value problem for the Navier–Stokes and Euler equations of dimension $n\geqslant3$ is uniquely solvable for a dense set of right-hand sides.
Bibliography: 13 titles.
@article{SM_1982_43_2_a5,
author = {A. V. Fursikov},
title = {Control problems and theorems concerning the unique solvability of a~mixed boundary value problem for the three-dimensional {Navier--Stokes} and {Euler} equations},
journal = {Sbornik. Mathematics},
pages = {251--273},
publisher = {mathdoc},
volume = {43},
number = {2},
year = {1982},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1982_43_2_a5/}
}
TY - JOUR AU - A. V. Fursikov TI - Control problems and theorems concerning the unique solvability of a~mixed boundary value problem for the three-dimensional Navier--Stokes and Euler equations JO - Sbornik. Mathematics PY - 1982 SP - 251 EP - 273 VL - 43 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1982_43_2_a5/ LA - en ID - SM_1982_43_2_a5 ER -
%0 Journal Article %A A. V. Fursikov %T Control problems and theorems concerning the unique solvability of a~mixed boundary value problem for the three-dimensional Navier--Stokes and Euler equations %J Sbornik. Mathematics %D 1982 %P 251-273 %V 43 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1982_43_2_a5/ %G en %F SM_1982_43_2_a5
A. V. Fursikov. Control problems and theorems concerning the unique solvability of a~mixed boundary value problem for the three-dimensional Navier--Stokes and Euler equations. Sbornik. Mathematics, Tome 43 (1982) no. 2, pp. 251-273. http://geodesic.mathdoc.fr/item/SM_1982_43_2_a5/