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Averaged description of the oscillations in a one-dimensional, randomly inhomogeneous medium (Q1083246)

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scientific article; zbMATH DE number 3976459
Language Label Description Also known as
English
Averaged description of the oscillations in a one-dimensional, randomly inhomogeneous medium
scientific article; zbMATH DE number 3976459

    Statements

    title
    Averaged description of the oscillations in a one-dimensional, randomly inhomogeneous medium (English)
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    author
    A. Yu. Belyaev
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    publication date
    1985
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    review text
    The Cauchy problem for a wave equation with coefficients depending randomly on the spatial coordinate is considered. An equation describing the evolution of the expectation of the solution is derived assuming that the fluctuations of the coefficients and the correlation radius are small. The averaged equation, unlike the initial equation, is irreversible with respect to time, and has the form of a one-dimensional equation of motion of a viscoelastic material. The coefficient of effective viscosity obtained is found to be proportional to the intensity of fluctuations of the random characteristics of the inhomogeneous medium.
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    zbMATH Keywords
    Cauchy problem
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    averaged equation
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    irreversible with respect to time
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    one-dimensional equation of motion
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    Identifiers

    Mathematics Subject Classification ID
    74A40
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    74E05
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    35R60
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    35A15
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    74D99
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    zbMATH DE Number
    3976459
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    OpenAlex ID
    W2143803226
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