Distributed control of a heat conducting, time-dependent, Navier-Stokes fluid
Glasgow mathematical journal, Tome 44 (2002) no. 2, pp. 191-200
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The purpose of this paper is to study an optimal control problem associated with the thermally coupled Navier-Stokes equations. An existence result for this problem is obtained. The most important result of this paper is the proof of the existence and regularity of a solution of the adjoint system. By defining several functions, this system (which is not a divergence free one) is replaced by a divergence free system.
Stavre, Ruxandra. Distributed control of a heat conducting, time-dependent, Navier-Stokes fluid. Glasgow mathematical journal, Tome 44 (2002) no. 2, pp. 191-200. doi: 10.1017/S0017089502020013
@article{10_1017_S0017089502020013,
author = {Stavre, Ruxandra},
title = {Distributed control of a heat conducting, time-dependent, {Navier-Stokes} fluid},
journal = {Glasgow mathematical journal},
pages = {191--200},
year = {2002},
volume = {44},
number = {2},
doi = {10.1017/S0017089502020013},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089502020013/}
}
TY - JOUR AU - Stavre, Ruxandra TI - Distributed control of a heat conducting, time-dependent, Navier-Stokes fluid JO - Glasgow mathematical journal PY - 2002 SP - 191 EP - 200 VL - 44 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089502020013/ DO - 10.1017/S0017089502020013 ID - 10_1017_S0017089502020013 ER -
%0 Journal Article %A Stavre, Ruxandra %T Distributed control of a heat conducting, time-dependent, Navier-Stokes fluid %J Glasgow mathematical journal %D 2002 %P 191-200 %V 44 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089502020013/ %R 10.1017/S0017089502020013 %F 10_1017_S0017089502020013
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