Stabilization of equilibrium MHD configurations by external currents
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 12, pp. 2238-2246
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For the viscous incompressible magnetohydrodynamic equations, a control by external currents is proposed that exponentially stabilizes an equilibrium configuration of conductive liquid. The linear feedback control operator has a finite-dimensional image and can be localized in a certain part of the flow region.
@article{ZVMMF_2012_52_12_a10,
author = {A. Yu. Chebotarev},
title = {Stabilization of equilibrium {MHD} configurations by external currents},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2238--2246},
publisher = {mathdoc},
volume = {52},
number = {12},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_12_a10/}
}
TY - JOUR AU - A. Yu. Chebotarev TI - Stabilization of equilibrium MHD configurations by external currents JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2012 SP - 2238 EP - 2246 VL - 52 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_12_a10/ LA - ru ID - ZVMMF_2012_52_12_a10 ER -
%0 Journal Article %A A. Yu. Chebotarev %T Stabilization of equilibrium MHD configurations by external currents %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2012 %P 2238-2246 %V 52 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_12_a10/ %G ru %F ZVMMF_2012_52_12_a10
A. Yu. Chebotarev. Stabilization of equilibrium MHD configurations by external currents. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 12, pp. 2238-2246. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_12_a10/