Small-time local stabilization of the two dimensional incompressible Navier-Stokes equations
We provide explicit time-varying feedback laws that locally stabilize the two dimensional internal controlled incompressible Navier-Stokes equations in arbitrarily small time. We also obtain quantitative rapid stabilization via stationary feedback laws, as well as quantitative null controllability w...
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| creator | Xiang, Shengquan |
| description | We provide explicit time-varying feedback laws that locally stabilize the two
dimensional internal controlled incompressible Navier-Stokes equations in
arbitrarily small time. We also obtain quantitative rapid stabilization via
stationary feedback laws, as well as quantitative null controllability with
explicit controls having $e^{C/T}$ costs. |
| doi_str_mv | 10.48550/arxiv.2010.13696 |
| format | Article |
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dimensional internal controlled incompressible Navier-Stokes equations in
arbitrarily small time. We also obtain quantitative rapid stabilization via
stationary feedback laws, as well as quantitative null controllability with
explicit controls having $e^{C/T}$ costs.</description><identifier>DOI: 10.48550/arxiv.2010.13696</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs ; Mathematics - Optimization and Control</subject><creationdate>2020-10</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,778,883</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2010.13696$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2010.13696$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Xiang, Shengquan</creatorcontrib><title>Small-time local stabilization of the two dimensional incompressible Navier-Stokes equations</title><description>We provide explicit time-varying feedback laws that locally stabilize the two
dimensional internal controlled incompressible Navier-Stokes equations in
arbitrarily small time. We also obtain quantitative rapid stabilization via
stationary feedback laws, as well as quantitative null controllability with
explicit controls having $e^{C/T}$ costs.</description><subject>Mathematics - Analysis of PDEs</subject><subject>Mathematics - Optimization and Control</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqFjr0OgjAURrs4GPUBnLwvAIII0dlonFxwNCEXvMQbW4ptxZ-ntxJ3py85OV9yhJjGUbhcpWk0R_PkLlxEHsRJts6G4pQrlDJwrAikrlCCdViy5Dc61g3oGtyFwD00nL3TWA-9xE2lVWvIWi4lwQE7JhPkTl_JAt3u_dmOxaBGaWny25GY7bbHzT7oO4rWsELzKr49Rd-T_Dc-xCBCJw</recordid><startdate>20201026</startdate><enddate>20201026</enddate><creator>Xiang, Shengquan</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20201026</creationdate><title>Small-time local stabilization of the two dimensional incompressible Navier-Stokes equations</title><author>Xiang, Shengquan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2010_136963</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Mathematics - Analysis of PDEs</topic><topic>Mathematics - Optimization and Control</topic><toplevel>online_resources</toplevel><creatorcontrib>Xiang, Shengquan</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Xiang, Shengquan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Small-time local stabilization of the two dimensional incompressible Navier-Stokes equations</atitle><date>2020-10-26</date><risdate>2020</risdate><abstract>We provide explicit time-varying feedback laws that locally stabilize the two
dimensional internal controlled incompressible Navier-Stokes equations in
arbitrarily small time. We also obtain quantitative rapid stabilization via
stationary feedback laws, as well as quantitative null controllability with
explicit controls having $e^{C/T}$ costs.</abstract><doi>10.48550/arxiv.2010.13696</doi><oa>free_for_read</oa></addata></record> |
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| identifier | DOI: 10.48550/arxiv.2010.13696 |
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| language | eng |
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| source | arXiv.org |
| subjects | Mathematics - Analysis of PDEs Mathematics - Optimization and Control |
| title | Small-time local stabilization of the two dimensional incompressible Navier-Stokes equations |
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