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Existence and weak-strong uniqueness for Maxwell-Stefan-Cahn-Hilliard systems - MaRDI portal

Existence and weak-strong uniqueness for Maxwell-Stefan-Cahn-Hilliard systems (Q6569707)

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scientific article; zbMATH DE number 7878735
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Existence and weak-strong uniqueness for Maxwell-Stefan-Cahn-Hilliard systems
scientific article; zbMATH DE number 7878735

    Statements

    Existence and weak-strong uniqueness for Maxwell-Stefan-Cahn-Hilliard systems (English)
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    9 July 2024
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    The authors consider a Maxwell-Stefan system with Cahn-Hilliard-type forces in a bounded domain in \(\mathbb{R}^d\), \(d=1,2,3\), and no-flux boundary conditions. The main result is global existence and weak-strong uniqueness for multicomponent systems of Maxwell-Stefan-Cahn-Hilliard type.
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    cross-diffusion systems
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    global existence
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    weak-strong uniqueness
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    relative entropy
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    relative free energy
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    parabolic fourth-order equations
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    Maxwell-Stefan equations
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    Cahn-Hilliard equations
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