Article
A result concerning controllability for the Navier-Stokes equations
Author/s | Fernández Cara, Enrique
González Burgos, Manuel |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 1995-07 |
Deposit Date | 2016-05-23 |
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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 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. |
Citation | 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. |
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