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Title: 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.
Authors:
 [1]
  1. Universidade Federal do Piauí, Dpto. Matemática (Brazil)
Publication Date:
OSTI Identifier:
22469708
Resource Type:
Journal Article
Resource Relation:
Journal Name: Applied Mathematics and Optimization; Journal Volume: 72; Journal 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)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; CONTROL; DIFFERENTIAL EQUATIONS; EQUILIBRIUM; FLUIDS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS