Abstract and Applied Analysis

Some Properties of Solutions for the Sixth-Order Cahn-Hilliard-Type Equation

Zhao Wang and Changchun Liu

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 414590, 24 pages.

Dates
First available in Project Euclid: 28 March 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1364475888

Digital Object Identifier
doi:10.1155/2012/414590

Mathematical Reviews number (MathSciNet)
MR2991005

Zentralblatt MATH identifier
1258.35113

Citation

Wang, Zhao; Liu, Changchun. Some Properties of Solutions for the Sixth-Order Cahn-Hilliard-Type Equation. Abstr. Appl. Anal. 2012 (2012), Article ID 414590, 24 pages. doi:10.1155/2012/414590. https://projecteuclid.org/euclid.aaa/1364475888


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