Glowinski and numerical control problems
This paper is devoted to recall several contributions to the numerical control of PDE’s that have origin in Glowinski’s work. I will consider null controllability problems for linear and nonlinear heat equations and some free-boundary systems. We will also deal with some bi-objective optimal control...
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Format: | Article |
Language: | English |
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Académie des sciences
2023-04-01
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Series: | Comptes Rendus. Mécanique |
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Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.177/ |
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author | Fernández-Cara, Enrique |
author_facet | Fernández-Cara, Enrique |
author_sort | Fernández-Cara, Enrique |
collection | DOAJ |
description | This paper is devoted to recall several contributions to the numerical control of PDE’s that have origin in Glowinski’s work. I will consider null controllability problems for linear and nonlinear heat equations and some free-boundary systems. We will also deal with some bi-objective optimal control problems. Additionally, some new methods and results will be announced. |
format | Article |
id | doaj-art-cded3d7d96ee42e4acd08a421862f564 |
institution | Kabale University |
issn | 1873-7234 |
language | English |
publishDate | 2023-04-01 |
publisher | Académie des sciences |
record_format | Article |
series | Comptes Rendus. Mécanique |
spelling | doaj-art-cded3d7d96ee42e4acd08a421862f5642025-02-07T13:46:20ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-04-01351S141143010.5802/crmeca.17710.5802/crmeca.177Glowinski and numerical control problemsFernández-Cara, Enrique0University of Sevilla, Dep. EDAN and IMUS, Univ. of Sevilla, Aptdo. 1160, 41080 Sevilla, Spain.This paper is devoted to recall several contributions to the numerical control of PDE’s that have origin in Glowinski’s work. I will consider null controllability problems for linear and nonlinear heat equations and some free-boundary systems. We will also deal with some bi-objective optimal control problems. Additionally, some new methods and results will be announced.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.177/Controllability of linear and nonlinear PDE’scontrol of free-boundary problemsbi-objective optimal control problemsNash equilibrianumerical methods |
spellingShingle | Fernández-Cara, Enrique Glowinski and numerical control problems Comptes Rendus. Mécanique Controllability of linear and nonlinear PDE’s control of free-boundary problems bi-objective optimal control problems Nash equilibria numerical methods |
title | Glowinski and numerical control problems |
title_full | Glowinski and numerical control problems |
title_fullStr | Glowinski and numerical control problems |
title_full_unstemmed | Glowinski and numerical control problems |
title_short | Glowinski and numerical control problems |
title_sort | glowinski and numerical control problems |
topic | Controllability of linear and nonlinear PDE’s control of free-boundary problems bi-objective optimal control problems Nash equilibria numerical methods |
url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.177/ |
work_keys_str_mv | AT fernandezcaraenrique glowinskiandnumericalcontrolproblems |