Publicación:
APPLICATION OF TIKHONOV FIXED POINT THEOREM TO ANALYZE AN INVERSE PROBLEM FOR A BIOCONVECTIVE FLOW MODEL

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dc.creatorALEX TELLO HUANCA
dc.creatorANÍBAL CORONEL PÉREZ
dc.date2023
dc.date.accessioned2025-01-10T15:42:04Z
dc.date.available2025-01-10T15:42:04Z
dc.date.issued2023
dc.description.abstractIN THIS PAPER, WE STUDY THE INVERSE PROBLEM OF DETERMINING THE DENSITY FUNCTION MODELING THE VECTOR EXTERNAL SOURCE FOR THE LINEAR MOMENTUM OF PARTICLES, IN A MATHEMATICAL MODEL FOR THE BIOCONVECTIVE FLOW PROBLEM. THE MODEL CONSISTS OF THREE EQUATIONS: LINEAR MOMENTUM OF PARTICLES, A CONSERVATION LAW FOR THE MICROORGANISMS, AND THE INCOMPRESSIBILITY CONDITION. WE ANALYZE THE DIRECT PROBLEM OBTAINING RESULTS FOR THE WELL POSEDNESS. WE PROVE THE EXISTENCE OF WEAK SOLUTIONS UNDER GENERAL ASSUMPTIONS AND THE UNIQUENESS OF WEAK SOLUTIONS FOR A PARTICULAR CLASS OF DENSITY FUNCTIONS. TO SOLVE THE INVERSE PROBLEM, WE ASSUME THAT AN INTEGRAL OVERSPECIFICATION CONDITION IS GIVEN. THEN, WE PROVE THE LOCAL UNIQUENESS OF THE INVERSE PROBLEM. THE PROOF IS BASED ON THE CHARACTERIZATION OF THE INVERSE PROBLEM SOLUTIONS USING AN OPERATOR EQUATION OF SECOND KIND, THE INTRODUCTION OF SEVERAL A PRIORI ESTIMATES, AND THE APPLICATION OF THE TIKHONOV FIXED POINT THEOREM.
dc.formatapplication/pdf
dc.identifier.doihttps://doi.org/10.1007/s11784-023-01079-3
dc.identifier.issn1661-7746
dc.identifier.issn1661-7738
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13253
dc.languagespa
dc.publisherJournal of Fixed Point Theory and Applications
dc.relation.urihttps://doi.org/10.1007/s11784-023-01079-3
dc.rightsPUBLICADA
dc.subjectNavier?Stokes like system.
dc.subjectInverse source problem
dc.subjectbioconvective flow
dc.titleAPPLICATION OF TIKHONOV FIXED POINT THEOREM TO ANALYZE AN INVERSE PROBLEM FOR A BIOCONVECTIVE FLOW MODEL
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCHILLÁN
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