Some properties of solutions for the sixth-order Cahn-Hilliard-type equation (Q696073)
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scientific article; zbMATH DE number 6116392
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties of solutions for the sixth-order Cahn-Hilliard-type equation |
scientific article; zbMATH DE number 6116392 |
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Some properties of solutions for the sixth-order Cahn-Hilliard-type equation (English)
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18 December 2012
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Summary: 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.
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separation of oil-water mixtures
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