Remarks on Hierarchic Control for a Linearized Micropolar Fluids System in Moving Domains
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915099283816448 |
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| author | de Jesus, Isaías Pereira |
| author_facet | de Jesus, Isaías Pereira |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06668 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Remarks on Hierarchic Control for a Linearized Micropolar Fluids System in Moving Domains de Jesus, Isaías Pereira Analysis of PDEs 35K20, 93B05, 76D55 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. |
| title | Remarks on Hierarchic Control for a Linearized Micropolar Fluids System in Moving Domains |
| topic | Analysis of PDEs 35K20, 93B05, 76D55 |
| url | https://arxiv.org/abs/2501.06668 |