Publicación:
A RESULT ON THE EXISTENCE AND UNIQUENESS OF STATIONARY SOLUTIONS FOR A BIOCONVECTIVE FLOW MODEL

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dc.creatorALEX TELLO HUANCA
dc.creatorIAN ERWIN HESS DUQUE
dc.creatorANÍBAL CORONEL PÉREZ
dc.creatorLUIS ALBERTO FRIZ ROA
dc.date2018
dc.date.accessioned2025-01-10T15:01:53Z
dc.date.available2025-01-10T15:01:53Z
dc.date.issued2018
dc.description.abstractIN THIS NOTE, WE PROVE THE EXISTENCE AND UNIQUENESS OF WEAK SOLUTIONS FOR THE BOUNDARY VALUE PROBLEM MODELLING THE STATIONARY CASE OF THE BIOCONVECTIVE FLOW PROBLEM. THE BIOCONVECTIVE MODEL IS A BOUNDARY VALUE PROBLEM FOR A SYSTEM OF FOUR EQUATIONS: THE NONLINEAR STOKES EQUATION, THE INCOMPRESSIBILITY EQUATION, AND TWO TRANSPORT EQUATIONS. THE UNKNOWNS OF THE MODEL ARE THE VELOCITY OF THE FLUID, THE PRESSURE OF THE FLUID, THE LOCAL CONCENTRATION OF MICROORGANISMS, AND THE OXYGEN CONCENTRATION. WE DERIVE SOME APPROPRIATE A PRIORI ESTIMATES FOR THE WEAK SOLUTION, WHICH IMPLIES THE EXISTENCE, BY APPLICATION OF GOSSEZ THEOREM, AND THE UNIQUENESS BY STANDARD METHODOLOGY OF COMPARISON OF TWO ARBITRARY SOLUTIONS.
dc.formatapplication/pdf
dc.identifier.doi/10.1155/2018/4051812
dc.identifier.issn2314-8888
dc.identifier.issn2314-8896
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/10085
dc.languagespa
dc.publisherJournal of Function Spaces
dc.relation.uri/10.1155/2018/4051812
dc.rightsPUBLICADA
dc.titleA RESULT ON THE EXISTENCE AND UNIQUENESS OF STATIONARY SOLUTIONS FOR A BIOCONVECTIVE FLOW MODEL
dc.title.alternativeUN RESULTADO SOBRE LA EXISTENCIA Y SINGULARIDAD DE SOLUCIONES ESTACIONARIAS PARA UN MODELO DE FLUJO BIOCONVECTIVO
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCONCEPCIÓN
ubb.SedeCHILLÁN
ubb.SedeCHILLÁN
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