New asymptotic analysis method for phase field models in moving boundary problem with surface tension (Q500162)
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scientific article; zbMATH DE number 6488090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New asymptotic analysis method for phase field models in moving boundary problem with surface tension |
scientific article; zbMATH DE number 6488090 |
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New asymptotic analysis method for phase field models in moving boundary problem with surface tension (English)
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1 October 2015
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The authors consider various phase transition models, such as the Cahn-Hilliard equation and the Allen-Cahn and the mass conserving Allen-Cahn equation. They present formal asymptotics for the sharp-interface limits by using the standard method of inner and outer expansions. The results indicate, at least up to second order of maching expansions, a structural resemblance of the so-called phase-field function, when the mass is conserved. Moreover, some numerics for the Cahn-Hilliard flow are provided.
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phase field
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asymptotic analysis
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double asymptotic expansion
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Allen-Cahn equation
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Cahn-Hilliard equation
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mean curvature
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Hele-Shaw problem
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numerical simulation
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approximation
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