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On a system of nonlinear diffusion equations and the formation of microarchitecture in polymers - MaRDI portal

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On a system of nonlinear diffusion equations and the formation of microarchitecture in polymers (Q1087727)

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scientific article; zbMATH DE number 3987810
Language Label Description Also known as
English
On a system of nonlinear diffusion equations and the formation of microarchitecture in polymers
scientific article; zbMATH DE number 3987810

    Statements

    title
    On a system of nonlinear diffusion equations and the formation of microarchitecture in polymers (English)
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    author
    Yukiko Tagami
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    published in
    Physica D
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    publication date
    1986
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    review text
    It is shown that a system of nonlinear diffusion equations associated with a problem of interface in polymers discloses an elliptic variant of the multidimensional sine-Gordon equation. Exploiting the periodic solutions of this sine-Gordon equation we calculate the domain structures in one and two dimensions and various interfacial properties associated with such domains. Stability of the obtained domain structures is also discussed.
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    zbMATH Keywords
    nonlinear diffusion equations
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    interface in polymers
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    sine-Gordon equation
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    periodic solutions
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    domain structures
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    Stability
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    Identifiers

    Mathematics Subject Classification ID
    35K55
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    35K57
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    35Q99
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    zbMATH DE Number
    3987810
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    OpenAlex ID
    W2021398205
    0 references
     
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