The effective energy in the Allen-Cahn model with deformation (Q633942)
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scientific article; zbMATH DE number 5934886
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The effective energy in the Allen-Cahn model with deformation |
scientific article; zbMATH DE number 5934886 |
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The effective energy in the Allen-Cahn model with deformation (English)
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2 August 2011
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The author considers the sharp interface limit of a diffuse interface theory of phase transitions. The diffuse interface model is of the Allen-Cahn type with deformation, with a parameter \( \varepsilon \) measuring the width of the interface. Equilibrium states of a given elongation and a given interface width are considered, and the asymptotics for \(\varepsilon \rightarrow 0 \) of the equilibrium energy is determined.
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phase transitions
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diffuse and sharp phase interface
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interfacial energy
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