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Attractors for the Cahn–Hilliard equation with memory in 2D

✍ Scribed by Monica Conti; Michele Coti Zelati


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
786 KB
Volume
72
Category
Article
ISSN
0362-546X

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3-D viscous Cahn–Hilliard equation with
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## 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 ε and of the viscosity coefficient δ. In par

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We consider in this article the Cahn-Hilliard equation endowed with dynamic boundary conditions. By interpreting these boundary conditions as a parabolic equation on the boundary and by considering a regularized problem, we obtain, by the Leray-Schauder principle, the existence and uniqueness of sol

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## Abstract Our aim in this article is to study the long time behaviour of a family of singularly perturbed Cahn‐Hilliard equations with singular (and, in particular, logarithmic) potentials. In particular, we are able to construct a continuous family of exponential attractors (as the perturbation