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Derivation of the viscoelastic stress in Stokes flows induced by nonspherical Brownian rigid particles through homogenization - MaRDI portal

Derivation of the viscoelastic stress in Stokes flows induced by nonspherical Brownian rigid particles through homogenization (Q6116954)

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scientific article; zbMATH DE number 7714112
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Derivation of the viscoelastic stress in Stokes flows induced by nonspherical Brownian rigid particles through homogenization
scientific article; zbMATH DE number 7714112

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    Derivation of the viscoelastic stress in Stokes flows induced by nonspherical Brownian rigid particles through homogenization (English)
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    18 July 2023
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    The authors propose a derivation by homogenization techniques of a variant of the so-called Doi model -- a prototype modeling attempt of a simple polymeric flow. A model for Brownian particles (an stochastic differential equation with Stratanovicth noise) is coupled with the Stokes equation. The main difficulty lies in handling mathematically the coupling in the system.
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    Doi model
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    Fokker-Planck equation
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    Stratonovich noise
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    infinite-dimensional Stratonovich integral
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    method of reflections
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    uniqueness
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    weighted Sobolev space
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