Affiliation:
1. Department of Mathematics, Jilin University, Changchun 130012, China
Abstract
We study the initial boundary value problem for a sixth-order Cahn-Hilliard-type equation which describes the separation properties of oil-water mixtures, when a substance enforcing the mixing of the phases is added. We show that the solutions might not be classical globally. In other words, in some cases, the classical solutions exist globally, while in some other cases, such solutions blow up at a finite time. We also discuss the existence of global attractor.
Subject
Applied Mathematics,Analysis
Cited by
7 articles.
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