Volume 12, Number 3, July 2006
|Page(s)||484 - 544|
|Published online||20 June 2006|
Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions
Dpto. E.D.A.N., University of Sevilla,
Aptdo. 1160, 41080 Sevilla, Spain; email@example.com.
Revised: 19 April 2005
In this paper we deal with the local exact controllability of the Navier-Stokes system with nonlinear Navier-slip boundary conditions and distributed controls supported in small sets. In a first step, we prove a Carleman inequality for the linearized Navier-Stokes system, which leads to null controllability of this system at any time T>0. Then, fixed point arguments lead to the deduction of a local result concerning the exact controllability to the trajectories of the Navier-Stokes system.
Mathematics Subject Classification: 34B15 / 35Q30 / 76D03 / 93B05 / 93C10
Key words: Navier-Stokes system / controllability / slip.
© EDP Sciences, SMAI, 2006
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.