We deal with the memory relaxation of the viscous Cahn-Hilliard equation in 3-D, covering the well-known hyperbolic version of the model. We study the long-term dynamic of the system in dependence of the scaling parameter of the memory kernel and of the viscosity coefficient . In particular we construct a family of exponential attractors, which is robust as both and go to zero, provided that is linearly controlled by .
3-D viscous Cahn–Hilliard equation with memory / M. Conti, G. Mola. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 32:11(2009), pp. 1379-1395.
3-D viscous Cahn–Hilliard equation with memory
G. MolaUltimo
2009
Abstract
We deal with the memory relaxation of the viscous Cahn-Hilliard equation in 3-D, covering the well-known hyperbolic version of the model. We study the long-term dynamic of the system in dependence of the scaling parameter of the memory kernel and of the viscosity coefficient . In particular we construct a family of exponential attractors, which is robust as both and go to zero, provided that is linearly controlled by .
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