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

Journal Article · Tue Dec 15 00:00:00 EST 2015 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-015-9288-2· OSTI ID:22469708

Jesus, Isaías Pereira de, E-mail: [e-mail] ^[1]

---

1. Universidade Federal do Piauí, Dpto. Matemática (Brazil)

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.

• OSTI ID: 22469708
• Journal Information: Applied Mathematics and Optimization, Vol. 72, Issue 3; Other Information: Copyright (c) 2015 Springer Science+Business Media New York; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
CONTROL
DIFFERENTIAL EQUATIONS
EQUILIBRIUM
FLUIDS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS