In a recent paper, the authors investigated the controllability of an underwater vehicle immersed in an infinite volume of an inviscid fluid, assuming that the flow was irrotational. The aim of the present paper is to pursue this study by considering the more general case of a flow with vorticity. It is shown here that the local controllability of the position and the velocity of the underwater vehicle (a vector in ) holds in a flow with vorticity whenever it holds in a flow without vorticity.
Accepté le :
DOI : 10.1051/cocv/2016040
Mots clés : Underwater vehicle, fluid-structure interaction, Euler equations, vorticity, exterior domain, exact controllability, return method
@article{COCV_2016__22_4_1325_0, author = {Lecaros, Rodrigo and Rosier, Lionel}, title = {Control of underwater vehicles in inviscid fluids {II.} {Flows} with vorticity}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {1325--1352}, publisher = {EDP-Sciences}, volume = {22}, number = {4}, year = {2016}, doi = {10.1051/cocv/2016040}, zbl = {1354.35079}, mrnumber = {3570504}, language = {en}, url = {http://www.numdam.org/articles/10.1051/cocv/2016040/} }
TY - JOUR AU - Lecaros, Rodrigo AU - Rosier, Lionel TI - Control of underwater vehicles in inviscid fluids II. Flows with vorticity JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2016 SP - 1325 EP - 1352 VL - 22 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv/2016040/ DO - 10.1051/cocv/2016040 LA - en ID - COCV_2016__22_4_1325_0 ER -
%0 Journal Article %A Lecaros, Rodrigo %A Rosier, Lionel %T Control of underwater vehicles in inviscid fluids II. Flows with vorticity %J ESAIM: Control, Optimisation and Calculus of Variations %D 2016 %P 1325-1352 %V 22 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv/2016040/ %R 10.1051/cocv/2016040 %G en %F COCV_2016__22_4_1325_0
Lecaros, Rodrigo; Rosier, Lionel. Control of underwater vehicles in inviscid fluids II. Flows with vorticity. ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 4, pp. 1325-1352. doi : 10.1051/cocv/2016040. http://www.numdam.org/articles/10.1051/cocv/2016040/
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