Exact Controllability of Galerkin's Approximations for the Oldroyd Fluid System

Autor:	A.T. Lourêdo, A. O. Marinho, M. Milla Miranda
Rok vydání:	2014
Předmět:	Physics::Fluid Dynamics Controllability Basis (linear algebra) Bounded function Mathematical analysis Mathematics::Analysis of PDEs Fluid system Uniqueness Fixed point Galerkin method Domain (mathematical analysis) Mathematics::Numerical Analysis Mathematics
Zdroj:	International Journal of Modeling and Optimization. 4:126-132
ISSN:	2010-3697
DOI:	10.7763/ijmo.2014.v4.359
Popis:	In this paper we investigate the model of Oldroyd Fluid in a bounded smooth region of Rn (n = 2, 3) with control supported in a small subset of this domain. Under suitable assumptions on the Galerkin basis, we introduce Galerkin's approximations for the Oldroyd fluid system. Using the Hilbert Uniqueness Method in combination with the Schauder's fixed point, we prove the exact controllability for this finite-dimensional system.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::62beb266446eaa10996f9cb70f47fce7 https://doi.org/10.7763/ijmo.2014.v4.359 Zobrazit plný text záznamu