CC BY 4.0 UnportedColli, PierluigiGilardi, GianniSprekels, Jürgen2022-06-232022-06-232020https://oa.tib.eu/renate/handle/123456789/9138https://doi.org/10.34657/8176In 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.enghttps://creativecommons.org/licenses/by/4.0/600Fractional operatorsCahn--Hilliard systemslongtime behaviorArticleKonferenzschrift