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math.AP2012
A vanishing diffusion limit in a nonstandard system of phase field equations
Pierluigi Colli, Gianni Gilardi, Pavel Krejčí +1
We are concerned with a nonstandard phase field model of Cahn-Hilliard type. The model, which was introduced by Podio-Guidugli (Ric. Mat. 2006), describes two-species phase segrega…
math.AP2012
Optimal control of an Allen-Cahn equation with singular potentials and dynamic boundary condition
Pierluigi Colli, Jürgen Sprekels
In this paper, we investigate optimal control problems for Allen-Cahn equations with singular nonlinearities and a dynamic boundary condition involving singular nonlinearities and…