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dc.contributor.authorGameiro, M.
dc.contributor.authorLessard, J.-P.
dc.date.accessioned2017-02-21T08:19:29Z
dc.date.available2017-02-21T08:19:29Z
dc.date.issued2011-12-31
dc.identifier.issn0029-599X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/630
dc.description.abstractIn this paper, we propose a new general method to compute rigorously global smooth branches of equilibria of higher-dimensional partial differential equations. The theoretical framework is based on a combination of the theory introduced in Global smooth solution curves using rigorous branch following (van den Berg et al., Math. Comput. 79(271):1565-1584, 2010) and in Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs (Gameiro and Lessard, J. Diff. Equ. 249(9):2237-2268, 2010). Using this method, one can obtain proofs of existence of global smooth solution curves of equilibria for large (continuous) parameter ranges and about local uniqueness of the solutions on the curve. As an application, we compute several smooth branches of equilibria for the three-dimensional Cahn-Hilliard equation.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleRigorous computation of smooth branches of equilibria for the three dimensional Cahn-Hilliard equationen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1007/s00211-010-0350-3
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-79952574105&doi=10.1007%2fs00211-010-0350-3&partnerID=40&md5=bf77182f0452bbea7a7f69e3a7425bf9
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleNumerische Mathematiken_US


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