This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Colli, PierluigiGilardi, GeanniPodio-Guidugli, PaoloSprekels, Jürgen2016-03-242019-06-2820110946-8633https://doi.org/10.34657/3484https://oa.tib.eu/renate/handle/123456789/2597We study a diffusion model of phase field type, consisting of a system of two partial differential equations encoding the balances of microforces and microenergy; the two unknowns are the order parameter and the chemical potential. By a careful development of uniform estimates and the deduction of certain useful boundedness properties, we prove existence and uniqueness of a global-in-time smooth solution to the associated initial/boundary-value problem; moreover, we give a description of the relative $omega$-limit set.application/pdfeng510Cahn-Hilliard equationphase field modelwell-posednesslong-time behaviorReport