TY - GEN A1 - Colli, Pierluigi A1 - Gilardi, Gianni A1 - Podio-Guidugli, Paolo A1 - Sprekels, Jürgen T1 - Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity N2 - Existence and uniqueness are investigated for a nonlinear diffusion problem of phase-field type, consisting of a parabolic system of two partial differential equations, complemented by Neumann homogeneous boundary conditions and initial conditions. This system aims to model two-species phase segregation on an atomic lattice [19]; in the balance equations of microforces and microenergy, the two unknowns are the order parameter rho and the chemical potential mu. A simpler version of the same system has recently been discussed in [8]. In this paper, a fairly more general phase-field equation for rho is coupled with a genuinely nonlinear diffusion equation for mu. The existence of a global-in-time solution is proved with the help of suitable a priori estimates. In the case of constant atom mobility, a new and rather unusual uniqueness proof is given, based on a suitable combination of variables. KW - phase-field model KW - nonlinear laws KW - existence of solutions KW - new uniqueness proof Y1 - 2013 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1226 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-12261 ER -