Longtime behavior for a generalized Cahn-Hilliard system with fractional operators
dc.bibliographicCitation.firstPage | A4 | |
dc.bibliographicCitation.issue | S2 | |
dc.bibliographicCitation.volume | 98 | |
dc.contributor.author | Colli, Pierluigi | |
dc.contributor.author | Gilardi, Gianni | |
dc.contributor.author | Sprekels, Jürgen | |
dc.date.accessioned | 2022-06-23T08:53:51Z | |
dc.date.available | 2022-06-23T08:53:51Z | |
dc.date.issued | 2020 | |
dc.description.abstract | In this contribution, we deal with the longtime behavior of the solutions to the fractional variant of the Cahn-Hilliard system, with possibly singular potentials, that we have recently investigated in the paper Well-posedness and regularity for a generalized fractional Cahn-Hilliard system. More precisely, we study the ω-limit of the phase parameter y and characterize it completely. Our characterization depends on the first eigenvalues λ1≥0 of one of the operators involved: if λ1>0, then the chemical potential μ vanishes at infinity and every element yω of the ω-limit is a stationary solution to the phase equation; if instead λ1=0, then every element yω of the ω-limit satisfies a problem containing a real function μ∞ related to the chemical potential μ. Such a function μ∞ is nonunique and time dependent, in general, as we show by an example. However, we give sufficient conditions for μ∞ to be uniquely determined and constant. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9138 | |
dc.identifier.uri | https://doi.org/10.34657/8176 | |
dc.language.iso | eng | eng |
dc.publisher | Messina : Accademia Peloritana dei Pericolanti | |
dc.relation.doi | https://doi.org/10.1478/AAPP.98S2A4 | |
dc.relation.essn | 1825-1242 | |
dc.relation.ispartofseries | Atti della Accademia Peloritana dei Pericolanti, Classe de Scienze Fisiche, Matematiche e Naturali : AAPP 98 (2020), Nr. S2 | |
dc.rights.license | CC BY 4.0 Unported | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.subject | Fractional operators | eng |
dc.subject | Cahn--Hilliard systems | eng |
dc.subject | longtime behavior | eng |
dc.subject | Konferenzschrift | ger |
dc.subject.ddc | 600 | |
dc.title | Longtime behavior for a generalized Cahn-Hilliard system with fractional operators | eng |
dc.type | article | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Atti della Accademia Peloritana dei Pericolanti, Classe de Scienze Fisiche, Matematiche e Naturali : AAPP | |
tib.accessRights | openAccess | eng |
tib.relation.conference | Proceedings of the workshop on Variational Analysis, PDEs and Mathematical Economics (Messina, Italy; 19-20 September 2019) | |
wgl.contributor | WIAS | ger |
wgl.subject | Mathematik | ger |
wgl.subject | Physik | ger |
wgl.type | Zeitschriftenartikel | ger |
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