Perturbation of the diffusion and upper semicontinuity of attractors
| dc.contributor.author | Arrieta Algarra, José María | |
| dc.contributor.author | Carvalho, Alexandre N. | |
| dc.contributor.author | Rodríguez Bernal, Aníbal | |
| dc.date.accessioned | 2023-06-20T17:08:54Z | |
| dc.date.available | 2023-06-20T17:08:54Z | |
| dc.date.issued | 1999-07 | |
| dc.description.abstract | We obtain uniform bounds for attractors of parabolic problems with nonlinear boundary conditions with respect to perturbations in the diffusion coefficients. These bounds are the main tool to obtain continuity properties of the attractors relatively to perturbations of the diffusion coefficient. We study two examples where the diffusion is perturbed: one related to homogenization theory and the other taken from composite materials where the diffusion goes to infinity in some subdomain. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGICYT (Spain) | |
| dc.description.sponsorship | CNPq -Ministry of Science and Technology- Brazil | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17929 | |
| dc.identifier.doi | 10.1016/S0893-9659(99)00069-5 | |
| dc.identifier.issn | 0893-9659 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0893965999000695 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57844 | |
| dc.issue.number | 5 | |
| dc.journal.title | Applied Mathematics Letters | |
| dc.language.iso | eng | |
| dc.page.final | 42 | |
| dc.page.initial | 37 | |
| dc.publisher | Pergamon-Elsevier Science Ltd | |
| dc.relation.projectID | PB96-0648 | |
| dc.relation.projectID | 300.389/92-5 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.986.6 | |
| dc.subject.cdu | 517.518.45 | |
| dc.subject.keyword | Parabolic problems | |
| dc.subject.keyword | Perturbation of the diffusion | |
| dc.subject.keyword | Uniform bounds | |
| dc.subject.keyword | Upper semicontinuity of attractors | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Perturbation of the diffusion and upper semicontinuity of attractors | |
| dc.type | journal article | |
| dc.volume.number | 12 | |
| dcterms.references | H. Amann Linear and Quasilinear Parabolic Problems. Abstract Linear Theory Birkäuser Verlag (1995) J.M. Arrieta, A.N. Carvalho and A. Rodríguez-Bernal, Parabolic problems with nonlinear boundary conditions and critical nonlinearities, Preprint MA-UCM-1998-022, Universidad Complutense de Madrid. O. Ladyzenskaya, N. Uralseva Linear and Quasilinear Elliptic Equations Academic Press (1968) J.K. Hale, G. Raugel Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation J. Diff. Equations, 73 (1998), pp. 197–214 J.K. Hale Asymptotic behavior of dissipative systems, mathematical surveys and monographs AMS, 25 (1988) A. Benssousan, J.L. Lions, G. Papanicolau Asymptotic Analysis for Periodic Structures North Holland (1978) E. Sanchez-Palencia Non Homogeneous Media and Vibration Theory Lecture notes in Physics 127 (1980) A. Rodriguez-Bernal, Localized spatial homogenization and large diffusion, SIAM J. on Math. Anal. (to appear). J.M. Arrieta and A.N. Carvalho, Abstract parabolic problems with crititical nonlinearities and applications to Navier-Stokes and heat equations, Transactions of the A.M.S. (to appear). A.N. Carvalho, S.M. Oliva, A.L. Pereira, A. Rodriguez-Bernal Attractors for parabolic problems with nonlinear boundary conditions J. Math. Anal. Appl., 207 (2) (1997), pp. 409–461 D. Henry Geometric Theory of Semilinear Parabolic Problems Lecture Notes in Mathematics (First edition)Springer Verlag (1981) No 840 R. Temam Infinite Dimensional Dynamical Systems in Mechanics and Physics Springer (1988) | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 2f8ee04e-dfcb-4000-a2ae-18047c5f0f4a | |
| relation.isAuthorOfPublication | fb7ac82c-5148-4dd1-b893-d8f8612a1b08 | |
| relation.isAuthorOfPublication.latestForDiscovery | 2f8ee04e-dfcb-4000-a2ae-18047c5f0f4a |
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