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Derivation of the Stokes-Brinkman problem and extension to the Darcy regime - MaRDI portal

Derivation of the Stokes-Brinkman problem and extension to the Darcy regime (Q2061632)

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scientific article; zbMATH DE number 7446436
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English
Derivation of the Stokes-Brinkman problem and extension to the Darcy regime
scientific article; zbMATH DE number 7446436

    Statements

    Derivation of the Stokes-Brinkman problem and extension to the Darcy regime (English)
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    16 December 2021
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    The author reports on derivations of continuum models where a cloud of particles interacts with a viscous fluid. He reviews recent results on the derivation of so-called Stokes-Brinkman models and give insights in some of the used analytical tools. Possible extension of the employed arguments (to the case of the Darcy regime) is also indicated.
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    homogenization
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    moving porous medium
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    Stokes equations
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    Lax-Milgram argument
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    weak solution
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    existence
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    uniqueness
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