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

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 $\delta$.
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Cahn-Hilliard equation; memory relaxation; singular limit; robust exponential attractors
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/531028
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