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Modulation of nonlinear waves in a fluid-filled elastic tube with stenosis - MaRDI portal

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Modulation of nonlinear waves in a fluid-filled elastic tube with stenosis (Q1777843)

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scientific article; zbMATH DE number 2171773
Language Label Description Also known as
English
Modulation of nonlinear waves in a fluid-filled elastic tube with stenosis
scientific article; zbMATH DE number 2171773

    Statements

    title
    Modulation of nonlinear waves in a fluid-filled elastic tube with stenosis (English)
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    author
    Hilmi Demiray
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    publication date
    25 May 2005
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    review text
    Summary: Treating arteries as thin-walled and prestressed elastic tubes with stenosis and the blood as Newtonian fluid with negligible viscosity, we study the amplitude modulation of nonlinear waves in such composite system by use of reductive perturbation method. The governing evolution equation is obtained as variable-coefficient nonlinear Schrödinger equation. It is observed that the speed of harmonic waves increases with the distance from the center of stenosis.
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    zbMATH Keywords
    arteries
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    blood
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    reductive perturbation method
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    nonlinear Schrödinger equation
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    Identifiers

    Mathematics Subject Classification ID
    74L15
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    74F10
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    92C10
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    zbMATH DE Number
    2171773
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    OpenAlex ID
    W2120590132
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