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

Remarks on Hierarchic Control for a Linearized Micropolar Fluids System in Moving Domains 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. Applied Mathematics and Optimization Springer Journals

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

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Copyright © 2015 by Springer Science+Business Media New York
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics
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  • On the approximate controllability of Stackelberg–Nash strategies for linearized micropolar fluids
    Araruna, FD; Menezes, SD; Rojas-Medar, MA

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