Asymptotic behavior of a model for order-disorder and phase separation

A Miranville, W Saoud, R Talhouk - Asymptotic Analysis, 2017 - content.iospress.com
Asymptotic Analysis, 2017content.iospress.com
Our aim in this article is to study the long time behavior, in terms of finite-dimensional
attractors, of a coupled Allen–Cahn/Cahn–Hilliard system. In particular, we prove the
existence of an exponential attractor and, as a consequence, the existence of the global
attractor with finite fractal dimension.
Abstract
Our aim in this article is to study the long time behavior, in terms of finite-dimensional attractors, of a coupled Allen–Cahn/Cahn–Hilliard system. In particular, we prove the existence of an exponential attractor and, as a consequence, the existence of the global attractor with finite fractal dimension.
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