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Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping

2022Journal article Restricted access
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dc.contributor.authorAntontsev, S. N.
dc.contributor.authorde Oliveira, H. B.
dc.contributor.authorKhompysh, Kh.
dc.date.accessioned2022-07-25T12:49:55Z
dc.date.available2022-07-25T12:49:55Z
dc.date.issued2022
dc.description.abstractIn this work, we consider the nonlinear initial-boundary value problem posed by the Kelvin-Voigt equations for non-homogeneous and incompressible fluid flows with fully anisotropic diffusion, relaxation and damping. Moreover, we assume that the momentum equation is perturbed by a damping term which, depending on whether its signal is positive or negative, may account for the presence of a source or a sink within the system. In the particular case of considering this problem with a linear and isotropic relaxation term, we prove the existence of global and local weak solutions for the associated initial-boundary value problem supplemented with no-slip boundary conditions. When the damping term describes a sink, we establish the conditions for the polynomial time decay or for the exponential time decay of these solutions.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1007/s00030-022-00794-zpt_PT
dc.identifier.eissn1420-9004
dc.identifier.urihttp://hdl.handle.net/10400.1/18088
dc.language.isoporpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.relationCenter for Mathematics, Fundamental Applications and Operations Research
dc.subjectKelvin-Voigt equationspt_PT
dc.subjectNonhomogeneous and incompressible fluidspt_PT
dc.subjectAnisotropic PDEspt_PT
dc.subjectPower-lawspt_PT
dc.subjectExistencept_PT
dc.subjectLarge time behaviorpt_PT
dc.titleKelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and dampingpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Mathematics, Fundamental Applications and Operations Research
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F04561%2F2019/PT
oaire.citation.issue5pt_PT
oaire.citation.startPage60pt_PT
oaire.citation.titleNonlinear Differential Equations and Applications NoDEApt_PT
oaire.citation.volume29pt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameBorges de Oliveira
person.givenNameHermenegildo
person.identifier.ciencia-id4A15-7156-6A00
person.identifier.orcid0000-0001-9053-8442
person.identifier.ridF-3186-2014
person.identifier.scopus-author-id7004475473
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication6f0df0e9-24bf-43d5-97b3-4a709a59e2b5
relation.isAuthorOfPublication.latestForDiscovery6f0df0e9-24bf-43d5-97b3-4a709a59e2b5
relation.isProjectOfPublication7b62a181-c6b8-4ce3-8e22-b0e626b5b74a
relation.isProjectOfPublication.latestForDiscovery7b62a181-c6b8-4ce3-8e22-b0e626b5b74a

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