TY - GEN A1 - Colli, Pierluigi A1 - Gilardi, Gianni A1 - Podio-Guidugli, Paolo A1 - Sprekels, Jürgen T1 - An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity N2 - This paper is concerned with a diffusion model of phase-field type, consisting of a {parabolic} system of two partial differential equations{,} interpreted as balances of microforces and microenergy{, for two unknowns: the problem's order parameter $\rho$} and the chemical potential $\mu$; each equation includes a viscosity term -- respectively, $\varepsilon \,\partial_t\mu$ and $\delta\,\partial_t\rho$ -- with $\varepsilon$ and $\delta$ two positive parameters; the field equations are complemented by Neumann homogeneous boundary conditions and suitable initial conditions. In a recent paper \cite{CGPS3}, we proved that this problem is \wepo\ and investigated the \loti\ \bhv\ of its $(\varepsilon,\delta)-$solutions. Here we discuss the asymptotic limit of the system as $\eps$ tends to $0$. We prove convergence of $(\varepsilon,\delta)-$solutions to the corresponding solutions for the case $\eps =0$, whose long-time behavior we characterize; in the proofs, we employ compactness and monotonicity arguments. KW - viscous Cahn-Hilliard system KW - phase field model KW - asymptotic limit KW - existence of solutions Y1 - 2012 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1067 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-10676 ER -