Controllability results for some nonlinear coupled parabolic systems by one control force

In this paper, we present new controllability results for some nonlinear coupled parabolic systems considered in a bounded domain Ω of IRN (with N ≥ 1 being arbitrary) when the control force acts on a unique equation of the system through an arbitrarily small open set ω ⊂ Ω. As a model example, we c...

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Authors: González Burgos, Manuel, Pérez García, Rosario
Format: article
Status:Published version
Publication Date:2006
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/41479
Online Access:http://hdl.handle.net/11441/41479
Access Level:Open access
Keyword:Controllability
Nonlinear coupled systems of parabolic type
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spelling Controllability results for some nonlinear coupled parabolic systems by one control forceGonzález Burgos, ManuelPérez García, RosarioControllabilityNonlinear coupled systems of parabolic typeIn this paper, we present new controllability results for some nonlinear coupled parabolic systems considered in a bounded domain Ω of IRN (with N ≥ 1 being arbitrary) when the control force acts on a unique equation of the system through an arbitrarily small open set ω ⊂ Ω. As a model example, we consider a nonlinear phase field system with certain superlinear nonlinearities and prove the null controllability, the exact controllability to the trajectories and the approximate controllability of the model. The crucial point in this paper is the new strategy developed to deal with the null controllability of linear coupled parabolic systems by a unique control force. Global Carleman estimates and the parabolic regularizing effect of the problem are used.Ministerio de Educación y CienciaIOS PressEcuaciones Diferenciales y Análisis NuméricoMinisterio de Educación y Ciencia (MEC). España2006info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/41479reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésAsymptotic Analysis, 46 (2), 123-162.BFM2003–0644info:eu-repo/semantics/openAccessoai:idus.us.es:11441/414792026-06-17T12:51:07Z
dc.title.none.fl_str_mv Controllability results for some nonlinear coupled parabolic systems by one control force
title Controllability results for some nonlinear coupled parabolic systems by one control force
spellingShingle Controllability results for some nonlinear coupled parabolic systems by one control force
González Burgos, Manuel
Controllability
Nonlinear coupled systems of parabolic type
title_short Controllability results for some nonlinear coupled parabolic systems by one control force
title_full Controllability results for some nonlinear coupled parabolic systems by one control force
title_fullStr Controllability results for some nonlinear coupled parabolic systems by one control force
title_full_unstemmed Controllability results for some nonlinear coupled parabolic systems by one control force
title_sort Controllability results for some nonlinear coupled parabolic systems by one control force
dc.creator.none.fl_str_mv González Burgos, Manuel
Pérez García, Rosario
author González Burgos, Manuel
author_facet González Burgos, Manuel
Pérez García, Rosario
author_role author
author2 Pérez García, Rosario
author2_role author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
Ministerio de Educación y Ciencia (MEC). España
dc.subject.none.fl_str_mv Controllability
Nonlinear coupled systems of parabolic type
topic Controllability
Nonlinear coupled systems of parabolic type
description In this paper, we present new controllability results for some nonlinear coupled parabolic systems considered in a bounded domain Ω of IRN (with N ≥ 1 being arbitrary) when the control force acts on a unique equation of the system through an arbitrarily small open set ω ⊂ Ω. As a model example, we consider a nonlinear phase field system with certain superlinear nonlinearities and prove the null controllability, the exact controllability to the trajectories and the approximate controllability of the model. The crucial point in this paper is the new strategy developed to deal with the null controllability of linear coupled parabolic systems by a unique control force. Global Carleman estimates and the parabolic regularizing effect of the problem are used.
publishDate 2006
dc.date.none.fl_str_mv 2006
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/41479
url http://hdl.handle.net/11441/41479
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Asymptotic Analysis, 46 (2), 123-162.
BFM2003–0644
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOS Press
publisher.none.fl_str_mv IOS Press
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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