This Note deals with the controllability of Stokes and Navier-Stokes systems with distributed controls with support in possibly small subdomains. We first present a new global Carleman inequality for the solutions to Stokes-like systems that leads to the null controllability at any time T > 0. Then, we present a local result concerning exact controllability to trajectories of the Navier-Stokes system. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.
机构:
Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China
Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R ChinaInst Appl Phys & Computat Math, Beijing 100094, Peoples R China
Liao, Jiajiang
Sueur, Franck
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Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France
Inst Univ France, 1 Rue Descartes, F-75231 Paris 05, FranceInst Appl Phys & Computat Math, Beijing 100094, Peoples R China
Sueur, Franck
Zhang, Ping
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Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R ChinaInst Appl Phys & Computat Math, Beijing 100094, Peoples R China