Uniqueness for optimal control problems of two-dimensional second grade fluids

Uniqueness for optimal control problems of two-dimensional second grade fluids

We study an optimal control problem with a quadratic cost functional for non-Newtonian fluids of differential type. More precisely, we consider the system governing the evolution of a second grade fluid filling a two-dimensional bounded domain, supplemented with a Navier slip boundary condition. Und...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Electronic journal of differential equations 2022-03, Vol.2022 (1-87), p.22
Hauptverfasser: Almeida, Adilson, Chemetov, Nikolai V., Cipriano, Fernanda
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue 1-87
container_start_page 22
container_title Electronic journal of differential equations
container_volume 2022
creator Almeida, Adilson
Chemetov, Nikolai V.
Cipriano, Fernanda
description We study an optimal control problem with a quadratic cost functional for non-Newtonian fluids of differential type. More precisely, we consider the system governing the evolution of a second grade fluid filling a two-dimensional bounded domain, supplemented with a Navier slip boundary condition. Under certain assumptions on the size of the initial data and parameters of the model, we prove second-order sufficient optimality conditions. Furthermore, we establish a global uniqueness result for the solutions of the first-order optimality system.
doi_str_mv 10.58997/ejde.2022.22
format Article
fullrecord <record><control><sourceid>crossref</sourceid><recordid>TN_cdi_crossref_primary_10_58997_ejde_2022_22</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_58997_ejde_2022_22</sourcerecordid><originalsourceid>FETCH-LOGICAL-c772-df641087a533be7822736d69f3d566ee63fc87122b8d620e46e38439d66755643</originalsourceid><addsrcrecordid>eNpNkD1PwzAURS0EEqUwsvsPJNjPzrMzooqPShUsZY6S-BmlSuJgp0L8e1JgYLp3uLo6OozdSpEXtizNHR0c5SAAcoAztpLCQIZYyvN__ZJdpXQQQpYa9Iq9vI3dx5FGSon7EHmY5m6oe96GcY6h51MMTU9D4sHz-TNkrhtoTF0Yl02iZeX4e6wdcd8fO5eu2YWv-0Q3f7lm-8eH_eY5270-bTf3u6w1C4fzqKWwpi6UashYAKPQYemVKxCJUPnWGgnQWIcgSCMpq1XpEE1RoFZrlv3etjGkFMlXU1yw41clRfXjojq5qE4uKgD1DQcvUrM</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Uniqueness for optimal control problems of two-dimensional second grade fluids</title><source>DOAJ Directory of Open Access Journals</source><source>EZB-FREE-00999 freely available EZB journals</source><creator>Almeida, Adilson ; Chemetov, Nikolai V. ; Cipriano, Fernanda</creator><creatorcontrib>Almeida, Adilson ; Chemetov, Nikolai V. ; Cipriano, Fernanda</creatorcontrib><description>We study an optimal control problem with a quadratic cost functional for non-Newtonian fluids of differential type. More precisely, we consider the system governing the evolution of a second grade fluid filling a two-dimensional bounded domain, supplemented with a Navier slip boundary condition. Under certain assumptions on the size of the initial data and parameters of the model, we prove second-order sufficient optimality conditions. Furthermore, we establish a global uniqueness result for the solutions of the first-order optimality system.</description><identifier>ISSN: 1072-6691</identifier><identifier>EISSN: 1072-6691</identifier><identifier>DOI: 10.58997/ejde.2022.22</identifier><language>eng</language><ispartof>Electronic journal of differential equations, 2022-03, Vol.2022 (1-87), p.22</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c772-df641087a533be7822736d69f3d566ee63fc87122b8d620e46e38439d66755643</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,864,27924,27925</link.rule.ids></links><search><creatorcontrib>Almeida, Adilson</creatorcontrib><creatorcontrib>Chemetov, Nikolai V.</creatorcontrib><creatorcontrib>Cipriano, Fernanda</creatorcontrib><title>Uniqueness for optimal control problems of two-dimensional second grade fluids</title><title>Electronic journal of differential equations</title><description>We study an optimal control problem with a quadratic cost functional for non-Newtonian fluids of differential type. More precisely, we consider the system governing the evolution of a second grade fluid filling a two-dimensional bounded domain, supplemented with a Navier slip boundary condition. Under certain assumptions on the size of the initial data and parameters of the model, we prove second-order sufficient optimality conditions. Furthermore, we establish a global uniqueness result for the solutions of the first-order optimality system.</description><issn>1072-6691</issn><issn>1072-6691</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNpNkD1PwzAURS0EEqUwsvsPJNjPzrMzooqPShUsZY6S-BmlSuJgp0L8e1JgYLp3uLo6OozdSpEXtizNHR0c5SAAcoAztpLCQIZYyvN__ZJdpXQQQpYa9Iq9vI3dx5FGSon7EHmY5m6oe96GcY6h51MMTU9D4sHz-TNkrhtoTF0Yl02iZeX4e6wdcd8fO5eu2YWv-0Q3f7lm-8eH_eY5270-bTf3u6w1C4fzqKWwpi6UashYAKPQYemVKxCJUPnWGgnQWIcgSCMpq1XpEE1RoFZrlv3etjGkFMlXU1yw41clRfXjojq5qE4uKgD1DQcvUrM</recordid><startdate>20220318</startdate><enddate>20220318</enddate><creator>Almeida, Adilson</creator><creator>Chemetov, Nikolai V.</creator><creator>Cipriano, Fernanda</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20220318</creationdate><title>Uniqueness for optimal control problems of two-dimensional second grade fluids</title><author>Almeida, Adilson ; Chemetov, Nikolai V. ; Cipriano, Fernanda</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c772-df641087a533be7822736d69f3d566ee63fc87122b8d620e46e38439d66755643</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Almeida, Adilson</creatorcontrib><creatorcontrib>Chemetov, Nikolai V.</creatorcontrib><creatorcontrib>Cipriano, Fernanda</creatorcontrib><collection>CrossRef</collection><jtitle>Electronic journal of differential equations</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Almeida, Adilson</au><au>Chemetov, Nikolai V.</au><au>Cipriano, Fernanda</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Uniqueness for optimal control problems of two-dimensional second grade fluids</atitle><jtitle>Electronic journal of differential equations</jtitle><date>2022-03-18</date><risdate>2022</risdate><volume>2022</volume><issue>1-87</issue><spage>22</spage><pages>22-</pages><issn>1072-6691</issn><eissn>1072-6691</eissn><abstract>We study an optimal control problem with a quadratic cost functional for non-Newtonian fluids of differential type. More precisely, we consider the system governing the evolution of a second grade fluid filling a two-dimensional bounded domain, supplemented with a Navier slip boundary condition. Under certain assumptions on the size of the initial data and parameters of the model, we prove second-order sufficient optimality conditions. Furthermore, we establish a global uniqueness result for the solutions of the first-order optimality system.</abstract><doi>10.58997/ejde.2022.22</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1072-6691
ispartof Electronic journal of differential equations, 2022-03, Vol.2022 (1-87), p.22
issn 1072-6691
1072-6691
language eng
recordid cdi_crossref_primary_10_58997_ejde_2022_22
source DOAJ Directory of Open Access Journals; EZB-FREE-00999 freely available EZB journals
title Uniqueness for optimal control problems of two-dimensional second grade fluids
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-05T23%3A36%3A23IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Uniqueness%20for%20optimal%20control%20problems%20of%20two-dimensional%20second%20grade%20fluids&rft.jtitle=Electronic%20journal%20of%20differential%20equations&rft.au=Almeida,%20Adilson&rft.date=2022-03-18&rft.volume=2022&rft.issue=1-87&rft.spage=22&rft.pages=22-&rft.issn=1072-6691&rft.eissn=1072-6691&rft_id=info:doi/10.58997/ejde.2022.22&rft_dat=%3Ccrossref%3E10_58997_ejde_2022_22%3C/crossref%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true