Some results in asymptotic analysis of finite-energy sequences of one-dimensional Cahn-Hilliard functional with non-standard two-well potential (Q6591281)
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scientific article; zbMATH DE number 7900162
| Language | Label | Description | Also known as |
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| English | Some results in asymptotic analysis of finite-energy sequences of one-dimensional Cahn-Hilliard functional with non-standard two-well potential |
scientific article; zbMATH DE number 7900162 |
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Some results in asymptotic analysis of finite-energy sequences of one-dimensional Cahn-Hilliard functional with non-standard two-well potential (English)
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21 August 2024
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In this paper, the author investigates some results in asymptotic analysis of finite-energy sequences of one-dimensional Cahn-Hilliard functional with non-standard two-well potential. Concretely, the author introduces several new classes of finite-energy sequences, recovers their underlying geometric properties as \(\varepsilon\to 0\), and proves the related compactness result.
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asymptotic analysis
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singular perturbation
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Young measures
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Cahn-Hilliard functional
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compactness
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