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 longterm dynamic of the system in dependence of the scaling parameter of the memory kernel $\eps$ and of the viscosity coefficient $\delta$. In particular we construct a family of exponential attractors which is robust as both $\eps$ and $\delta$ go to zero, provided that $\eps$ is linearly controlled by $\delta$.
3-D viscous Cahn-Hilliard equation with memory
CONTI, MONICA;
2009-01-01
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 longterm dynamic of the system in dependence of the scaling parameter of the memory kernel $\eps$ and of the viscosity coefficient $\delta$. In particular we construct a family of exponential attractors which is robust as both $\eps$ and $\delta$ go to zero, provided that $\eps$ is linearly controlled by $\delta$.File in questo prodotto:
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