Existence results for diffuse interface models describing phase separation and damage (Q2839194)
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scientific article; zbMATH DE number 6184176
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence results for diffuse interface models describing phase separation and damage |
scientific article; zbMATH DE number 6184176 |
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Existence results for diffuse interface models describing phase separation and damage (English)
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4 July 2013
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Cahn-Hilliard systems
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Allen-Cahn systems
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phase separation
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damage
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elliptic-parabolic systems
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energetic solution
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weak solution
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doubly nonlinear differential inclusions
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existence results
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rate-dependent systems
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logarithmic-free energy
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The authors investigate multi-component Cahn-Hilliard and Allen-Cahn systems which are coupled with elasticity and uni-directional damage processes. After the introduction of notation and labeling of the two systems of four equations \(S_0\) and \(S_c\), an appropriate notion of weak solutions is presented. Then existence of weak solutions for \(S_0\) (two cases) and \(S_c\) is shown, together with higher integrability of the strain tensor.
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