Asymptotic study for Stokes-Brinkman model with jump embedded transmission conditions (Q2805927)

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scientific article; zbMATH DE number 6580452
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Asymptotic study for Stokes-Brinkman model with jump embedded transmission conditions
scientific article; zbMATH DE number 6580452

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    13 May 2016
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    Stokes equation
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    Brinkman model
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    WKB expansion
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    jump embedded transmission conditions
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    uniform errors estimates
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    Asymptotic study for Stokes-Brinkman model with jump embedded transmission conditions (English)
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    In this paper, the authors consider the Stokes-Brinkman model with jump embedded transmission conditions. The asymptotic limit of the Stokes-Brinkman models towards the Stokes-Darcy one with Beavers and Joseph interface conditions is studied by a Wentzel-Kramers-Billouin (WKB) expansion in power series of the square root of a small parameter. And the rigorous mathematical analysis is presented for the WKB expansion.
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