Attractors for partly dissipative reaction diffusion systems in R-n
| dc.contributor.author | Rodríguez Bernal, Aníbal | |
| dc.contributor.author | Wang, Bixiang | |
| dc.date.accessioned | 2023-06-20T17:09:26Z | |
| dc.date.available | 2023-06-20T17:09:26Z | |
| dc.date.issued | 2000-12-15 | |
| dc.description.abstract | In this paper, we study the asymptotic behavior of solutions for the partly dissipative reaction diffusion equations in R-n. We prove the asymptotic compactness of the solutions and then establish the existence of the global attractor in L-2(R-n) X L-2(R-n). | |
| 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.sponsorship | Postdoctorship of Ministerio de Educacion y Cultura (Spain) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/18009 | |
| dc.identifier.doi | 10.1006/jmaa.2000.7122 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0022247X00971221 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57860 | |
| dc.issue.number | 2 | |
| dc.journal.title | Journal of Mathematical Analysis and Applications | |
| dc.language.iso | eng | |
| dc.page.final | 803 | |
| dc.page.initial | 790 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | PB96-0648 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Global attractor | |
| dc.subject.keyword | Asymptotic compactness | |
| dc.subject.keyword | Partly dissipativeness | |
| dc.subject.keyword | Reaction diffusion equation | |
| dc.subject.keyword | Unbounded-domains | |
| dc.subject.keyword | Evolution-equations | |
| dc.subject.keyword | Inertial manifolds | |
| dc.subject.keyword | Global attractors | |
| dc.subject.keyword | Existence | |
| dc.subject.keyword | Semiflows | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Attractors for partly dissipative reaction diffusion systems in R-n | |
| dc.type | journal article | |
| dc.volume.number | 252 | |
| dcterms.references | R FitzHugh Impulses and physiological states in theoretical models of nerve membrane Biophys. J., 1 (1961), pp. 445–466 J Nagumo, S Arimoto, S Yosimzawa An active pulse transmission line simulating nerve axon Proc. J. R. E., 50 (1964), pp. 2061–2070 Some threshold results for models of myelinated nerves Math. Biosci., 54 (1981), pp. 181–190 M Marion Finite-dimensional attractors associated with partly dissipative reaction-diffusion systems SIAM J. Math. Anal., 20 (1989), pp. 816–844 M Marion Inertial manifolds associated to partly dissipative reaction-diffusion systems J. Math. Anal. Appl., 143 (1989), pp. 295–326 Z Shao Existence of inertial manifolds for partly dissipative reaction diffusion systems in higher space dimensions J. Differential Equations, 144 (1998), pp. 1–43 A.V Babin, M.I Vishik Attractors of Evolution EquationsNorth-Holland, Amsterdam (1991) J.K Hale Asymptotic Behavior of Dissipative SystemsAmer. Math. Soc, Providence (1988) R Temam Infinite Dimensional Dynamical Systems in Mechanics and PhysicsSpringer-Verlag, New York (1997) A.V Babin, M.I Vishik Attractors of partial differential evolution equations in an unbounded domain Proc. Roy. Soc. Edinburgh Sect. A, 116 (1990), pp. 221–243 F Abergel Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains J. Differential Equations, 83 (1990), pp. 85–108 E Feireisl, Ph Laurencot, F Simondon, H Toure Compact attractors for reaction-diffusion equations in n C. R. Acad. Sci. Paris Ser. I, 319 (1994), pp. 147–151 E Feireisl, Ph Laurencot, F Simondon Global attractors for degenerate parabolic equations on unbounded domains J. Differential Equations, 129 (1996), pp. 239–261 S Merino On the existence of the compact global attractor for semilinear reaction diffusion systems on n J. Differential Equations, 132 (1996), pp. 87–106 D Daners, S Merino Gradient-like parabolic semiflows on BUC( n) Proc. Roy. Soc. Sect. A Edinburgh, 128 (1998), pp. 1281–1291 B Wang Attractors for reaction diffusion equations in unbounded domains Phys. D, 128 (1999), pp. 41–52 J.M Ball Continuity properties and global attractors of generalized semiflows and the Navier–Stokes equations J. Nonlinear Sci., 7 (1997), pp. 475–502 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | fb7ac82c-5148-4dd1-b893-d8f8612a1b08 | |
| relation.isAuthorOfPublication.latestForDiscovery | fb7ac82c-5148-4dd1-b893-d8f8612a1b08 |
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