Solutions with multiple interfaces to the generalized parabolic Cahn-Hilliard equation in one and three space dimensions (Q6561010)

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scientific article; zbMATH DE number 7870413
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Solutions with multiple interfaces to the generalized parabolic Cahn-Hilliard equation in one and three space dimensions
scientific article; zbMATH DE number 7870413

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    Solutions with multiple interfaces to the generalized parabolic Cahn-Hilliard equation in one and three space dimensions (English)
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    24 June 2024
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    The authors study the generalized Cahn-Hilliard equation, with polynomial double-well potential, in the entire space \(\mathbb{R}^d\), \(d=1,3\). Their aim is to construct radial solutions with a given number of interfaces. In each case (\(d=1\) or \(d=3\)), interfacial dynamics are determined by a Toda sequence of functions.
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    generalized Cahn-Hilliard equation
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    multiple interfaces
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    radial solutions
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    Toda system
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