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Free boundary problems for Stokes flow, with applications to the growth of biological tissues (Q2077419)

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scientific article; zbMATH DE number 7477272
Language Label Description Also known as
English
Free boundary problems for Stokes flow, with applications to the growth of biological tissues
scientific article; zbMATH DE number 7477272

    Statements

    title
    Free boundary problems for Stokes flow, with applications to the growth of biological tissues (English)
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    author
    Yanyan Li
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    publication date
    21 February 2022
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    review text
    Summary: We formulate, analyse and numerically simulate what are arguably the two simplest Stokes-flow free boundary problems relevant to tissue growth, extending the classical Stokes free boundary problem by incorporating (i) a volumetric source (the nutrient-rich case) and (ii) a volumetric sink, a surface source and surface compression (the nutrient-poor case). Both two- and three-dimensional cases are considered. A number of phenomena are identified and characterised thereby, most notably a buckling-associated instability in case (ii).
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    zbMATH Keywords
    Stokes-flow
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    tissue growth
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    moving boundary problems
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    finite element methods
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    Recommended article

    Identifiers

    DOI
    10.4171/IFB/459
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    Mathematics Subject Classification ID
    35Q35
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    35Q92
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    76D07
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    76S05
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    92C37
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    92C10
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    35R35
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    65M60
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    65M06
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    65N30
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    76M10
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    76M20
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    92-08
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    zbMATH DE Number
    7477272
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    OpenAlex ID
    W3144765278
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