Remarks on Hierarchic Control for a Linearized Micropolar Fluids System in Moving Domains

被引：0
作者：
Isaías Pereira de Jesus
机构：
[1] Universidade Federal do Piauí,Dpto. Matemática
来源：
Applied Mathematics & Optimization | 2015年 / 72卷
关键词：
Micropolar fluids; Stackelberg–Nash strategies; Hierarchic control; 35K20; 93B05; 76D55;
D O I：
暂无
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摘要：
We study a Stackelberg strategy subject to the evolutionary linearized micropolar fluids equations in domains with moving boundaries, considering a Nash multi-objective equilibrium (non necessarily cooperative) for the “follower players” (as is called in the economy field) and an optimal problem for the leader player with approximate controllability objective. We will obtain the following main results: the existence and uniqueness of Nash equilibrium and its characterization, the approximate controllability of the linearized micropolar system with respect to the leader control and the existence and uniqueness of the Stackelberg–Nash problem, where the optimality system for the leader is given.
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页码：493 / 521
页数：28
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