Publicación:
AN OPTIMAL CONTROL PROBLEM FOR THE NAVIER-STOKES EQUATIONS WITH POINT SOURCES

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dc.creatorFELIPE ANDRÉS LEPE ARAYA
dc.date2022
dc.date.accessioned2025-01-10T15:39:29Z
dc.date.available2025-01-10T15:39:29Z
dc.date.issued2022
dc.description.abstractWE ANALYZE, IN TWO DIMENSIONS, AN OPTIMAL CONTROL PROBLEM FOR THE NAVIER?STOKES EQUATIONS WHERE THE CONTROL VARIABLE CORRESPONDS TO THE AMPLITUDE OF FORCES MODELED AS POINT SOURCES; CONTROL CONSTRAINTS ARE ALSO CONSIDERED. THIS PARTICULAR SETTING LEADS TO SOLUTIONS TO THE STATE EQUATION EXHIBITING REDUCED REGULARITY PROPERTIES. WE OPERATE UNDER THE FRAMEWORK OF MUCKENHOUPT WEIGHTS, MUCKENHOUPT-WEIGHTED SOBOLEV SPACES, AND THE CORRESPONDING WEIGHTED NORM INEQUALITIES AND DERIVE THE EXISTENCE OF OPTIMAL SOLUTIONS AND FIRST- AND, NECESSARY AND SUFFICIENT, SECOND-ORDER OPTIMALITY CONDITIONS.
dc.formatapplication/pdf
dc.identifier.doi/10.1007/s10957-022-02148-2
dc.identifier.issn1573-2878
dc.identifier.issn0022-3239
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13050
dc.languagespa
dc.publisherJOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
dc.relation.uri/10.1007/s10957-022-02148-2
dc.rightsPUBLICADA
dc.subjectOptimal control problems
dc.subjectNavier?Stokes equations
dc.subjectMuckenhoupt weights
dc.subjectFirst- and second-order optimality conditions
dc.subjectDirac measures
dc.titleAN OPTIMAL CONTROL PROBLEM FOR THE NAVIER-STOKES EQUATIONS WITH POINT SOURCES
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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