Exact controllability of Galerkin's approximations of micropolar fluids

F. D. Araruna; F. W. Chaves-Silva; M. A. Rojas-Medar

doi:10.1090/S0002-9939-09-10154-5

Exact controllability of Galerkin's approximations of micropolar fluids

F. D. Araruna
, F. W. Chaves-Silva
, M. A. Rojas-Medar

Universidade Federal da Paraíba
Universidad del Bío-Bío

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

8 Citas (Scopus)

Resumen

We consider the nonlinear model describing micropolar fluid in a bounded smooth region of ℝ^N(N = 2, 3) with distributed controls supported in small subset of this domain. Under suitable assumptions on the Galerkin basis, we introduce Galerkin's approximations for the controllable micropolar fluid system. By using the Hilbert Uniqueness Method in combination with a fixed point argument, we prove the exact controllability result for this finitedimensional system.

Idioma original	Inglés
Páginas (desde-hasta)	1361-1370
Número de páginas	10
Publicación	Proceedings of the American Mathematical Society
Volumen	138
N.º	4
DOI	https://doi.org/10.1090/S0002-9939-09-10154-5
Estado	Publicada - abr 2010
Publicado de forma externa	Sí

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abstract = "We consider the nonlinear model describing micropolar fluid in a bounded smooth region of ℝN(N = 2, 3) with distributed controls supported in small subset of this domain. Under suitable assumptions on the Galerkin basis, we introduce Galerkin's approximations for the controllable micropolar fluid system. By using the Hilbert Uniqueness Method in combination with a fixed point argument, we prove the exact controllability result for this finitedimensional system.",

keywords = "Controllability, Galerkin approximations, Micropolar fluids",

author = "Araruna, \{F. D.\} and Chaves-Silva, \{F. W.\} and Rojas-Medar, \{M. A.\}",

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AU - Chaves-Silva, F. W.

AU - Rojas-Medar, M. A.

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Y1 - 2010/4

N2 - We consider the nonlinear model describing micropolar fluid in a bounded smooth region of ℝN(N = 2, 3) with distributed controls supported in small subset of this domain. Under suitable assumptions on the Galerkin basis, we introduce Galerkin's approximations for the controllable micropolar fluid system. By using the Hilbert Uniqueness Method in combination with a fixed point argument, we prove the exact controllability result for this finitedimensional system.

AB - We consider the nonlinear model describing micropolar fluid in a bounded smooth region of ℝN(N = 2, 3) with distributed controls supported in small subset of this domain. Under suitable assumptions on the Galerkin basis, we introduce Galerkin's approximations for the controllable micropolar fluid system. By using the Hilbert Uniqueness Method in combination with a fixed point argument, we prove the exact controllability result for this finitedimensional system.

KW - Controllability

KW - Galerkin approximations

KW - Micropolar fluids

UR - https://www.scopus.com/pages/publications/77951440041

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JF - Proceedings of the American Mathematical Society

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ER -

Exact controllability of Galerkin's approximations of micropolar fluids

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