A singularly perturbed phase field model with a logarithmic nonlinearity: Upper-semicontinuity of the attractor (Q1582100)
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scientific article; zbMATH DE number 1512504
| Language | Label | Description | Also known as |
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| English | A singularly perturbed phase field model with a logarithmic nonlinearity: Upper-semicontinuity of the attractor |
scientific article; zbMATH DE number 1512504 |
Statements
A singularly perturbed phase field model with a logarithmic nonlinearity: Upper-semicontinuity of the attractor (English)
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10 May 2001
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The author considers initial-boundary value problems for the Cahn-Hilliard equation and the phase field system, representing a singular perturbation of that equation. Both problems possess a maximal attractor; the aim of the paper is to study relationships between these attractors. In particular, the upper-semicontinuity of the attractor of the phase field system (for the null perturbation parameter) is proved.
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Cahn-Hilliard equation
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phase field system
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maximal attractor
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