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Type: Artigo de periódico
Author: Boldrini, JL
Doubova, A
Fernandez-Cara, E
Gonzalez-Burgos, M
Abstract: We analyze the controllability properties of systems which provide a description, at first approximation, of a kind of viscoelastic fluid. We consider linear Maxwell fluids. First, we establish the large time approximate-finite dimensional controllability of the system, with distributed or boundary controls supported by arbitrary small sets. Then, we prove the large time exact controllability of fluids of the same kind with controls supported by suitable large sets. The proofs of these results rely on classical arguments. In particular, the approximate controllability result is implied by appropriate unique continuation properties, while exact controllability is a consequence of observability (inverse) inequalities. We also discuss questions concerning the controllability of viscoelastic fluids and some related open problems.
Subject: controllability
Maxwell fluids
vicoelastic fluids
Country: EUA
Editor: Siam Publications
Rights: aberto
Identifier DOI: 10.1137/100813592
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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