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A result concerning controllability for the Navier-Stokes equations

 

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Author: Fernández Cara, Enrique
González Burgos, Manuel
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 1995-07
Published in: SIAM Journal on Control and Optimization, 33 (4), 1061-1070.
Document type: Article
Abstract: The main goal of this paper is to present a new result concerning controllability of the time-dependent Navier-Stokes equations. Here, the control variable is the trace of the velocity field on a "small" part of the boundary. The main result states that the linear space spanned by final states is dense in the L space of admissible fields. For the proof, one uses a duality argument that is suggested by the linear theory. This reduces the task to an existence/regularity result for a nonlinear problem.
Cite: Fernández Cara, E. y González Burgos, M. (1995). A result concerning controllability for the Navier-Stokes equations. SIAM Journal on Control and Optimization, 33 (4), 1061-1070.
Size: 736.0Kb
Format: PDF

URI: http://hdl.handle.net/11441/41468

DOI: 10.1137/S0363012993253819

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