On the Dynamics of Controlled Magnetohydrodynamic Systems
2008 ◽
Vol 13
(3)
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pp. 351-377
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Keyword(s):
In this paper we study the long time behavior of solutions for an optimal control problem associated with the viscous incompressible electrically conducting fluid modeled by the magnetohydrodynamic (MHD) equations in a bounded two dimensional domain through the adjustment of distributed controls. We first construct a quasi-optimal solution for the MHD systems which possesses exponential decay in time. We then derive some preliminary estimates for the long-time behavior of all admissible solutions of the MHD systems. Next we prove the existence of a solution for the optimal control problem for both finite and infinite time intervals. Finally, we establish the long-time decay properties of the solutions for the optimal control problem.
2014 ◽
Vol 11
(03)
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pp. 477-491
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Keyword(s):
2016 ◽
Vol 6
(4)
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pp. 1081-1104
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2021 ◽
Vol 24
(1)
◽
pp. 48-66
Keyword(s):
2005 ◽
Vol 308
(2)
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pp. 440-466
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Keyword(s):
Keyword(s):
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