Finite-dimensional asymptotic behavior in a thermosyphon including the Soret effect
| dc.contributor.author | Rodríguez Bernal, Aníbal | |
| dc.contributor.author | Jiménez Casas, Ángela | |
| dc.date.accessioned | 2023-06-20T17:10:39Z | |
| dc.date.available | 2023-06-20T17:10:39Z | |
| dc.date.issued | 1999-01-25 | |
| dc.description.abstract | We analyse the dynamics of a fluid transporting a soluble substance in the interior of a closed loop of arbitrary geometry and subjected to the action of gravity and natural convection. After obtaining the governing equations and analysing the well posedness of the system we prove the existence of a global attractor. Finally, using inertial manifold techniques, we obtain an explicit reduced system of ODE's that describes the asymptotic behaviour of the full system | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGES | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/19870 | |
| dc.identifier.doi | 10.1002/(SICI)1099-1476(19990125)22:2<117::AID-MMA25>3.0.CO;2-0 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.officialurl | http://onlinelibrary.wiley.com/doi/10.1002/(SICI)1099-1476(19990125)22:2%3C117::AID-MMA25%3E3.0.CO;2-0/pdf | |
| dc.identifier.relatedurl | http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57895 | |
| dc.issue.number | 2 | |
| dc.journal.title | Mathematical Methods in the Applied Sciences | |
| dc.language.iso | eng | |
| dc.page.final | 137 | |
| dc.page.initial | 117 | |
| dc.publisher | W. Spröβig | |
| dc.relation.projectID | PB96-0648 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.986 | |
| dc.subject.keyword | Soret diffusion | |
| dc.subject.keyword | Global attractor | |
| dc.subject.keyword | Explicit inertial manifold | |
| dc.subject.keyword | Reduced system | |
| dc.subject.keyword | Closed thermosiphon | |
| dc.subject.keyword | Dynamics | |
| dc.subject.ucm | Funciones (Matemáticas) | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Finite-dimensional asymptotic behavior in a thermosyphon including the Soret effect | |
| dc.type | journal article | |
| dc.volume.number | 22 | |
| dcterms.references | Foias, C., Sell, G. R. and Temam, R., ‘Inertial manifolds for nonlinear Evolution equations’, J. Differential Equation 73, 309–353 (1985). Hale, J. K., Asymptotic Behaviour of Dissipative systems, American Mathematical Society Providence, RI, 1989. Hart, J. E., ‘A model of flow in a closed-loop thermosyphon including the Soret effect’, J. Heat Transfer, 107, 840–849 (1985). Hart, J. E., ‘Observations of complex oscillations in a closed thermosyphon’, J. Heat Transfer, 107, 833–839 (1985). Henry, D., ‘Geometric Theory of Semilinear Parabolic Equations’, Lectures Notes in Mathematics, Vol. 840, Springer, Berlin, 1981. Herrero, M. A. and Velazquez, J. J.-L.‘Stability analysis of a closed thermosyphon’, Eur. J. Appl. Math., 1, 1–24 (1990). Keller, J. B., ‘Periodic oscillations in a model of thermal convection’, J. Fluid Mech., 26(3), 599–606 (1966). Liñan, A., ‘Analytical description of chaotic oscillations in a toroidal thermosyphon’, in Fluid Physics, Lecture Notes of Summer Schools, (M. G.Velarde and C. I.Christov, eds.), pp. 507–523, World Scientific, Singapore, 1994. Rodríguez-Bernal, A., ‘Inertial Manifolds for dissipative semiflows in Banach spaces’, Appl. Anal., 37, 95–141 (1990). Rodríguez-Bernal, A., ‘Attractors and inertial manifolds for the dynamics of a closed thermosymphon’, J. Math. Anal. Appl., 193, 942–965 (1995). Rodríguez-Bernal, A. and Van Vleck, E. S., ‘Diffusion induced chaos in a closed loop thermosyphon’, SIAM J. Appl. Math. 58, 4, 1072–1093 (–1998). Rodríguez-Bernal, A. and Van Vleck, E. S., ‘Complex oscillations in a closed thermosyphon’, Int. J. Bif. Chaos 8, 41–56 (1998). Rodríguez-Bernal A., and Zuazua, E., ‘Parabolic singular limit of a wave equation with localized boundary damping’, Disc. Cont. Dyn. System, 1 (3), 303–346 (1995). Temam, R., ‘Infinite Dimensional Dynamical Systems in Mechanics and Physics’, Appl. Math. Sci., 68, (1988). Velázquez, J. J. L., ‘On the dynamics of a closed thermosyphon’, SIAM J. Appl. Math., 54(6), 1561–1593 (1994). Welander, P., ‘On the oscillatory instability of a differentially heated fluid loop’, J. Fluid Mech., 29(1), 17–30 (1967). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | fb7ac82c-5148-4dd1-b893-d8f8612a1b08 | |
| relation.isAuthorOfPublication.latestForDiscovery | fb7ac82c-5148-4dd1-b893-d8f8612a1b08 |
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