Convergence of the method of reflections for particle suspensions in Stokes flows

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:297

Article

Hoefer, Richard M.^1,2 

[1] Univ Bonn, Inst Appl Math, Endenicher Allee 60, D-53115 Bonn, Germany

[2] Univ Bordeaux, Inst Math, 351 Cours Liberat, F-33400 Talence, France

关键词: Method of reflections;    Stokes equations;    Suspensions;    Perforated domain;   

DOI  :  10.1016/j.jde.2021.06.020

来源: Elsevier

【 摘 要 】

We study the convergence of the method of reflections for the Stokes equations in domains perforated by countably many spherical particles with boundary conditions typical for the suspension of rigid particles. We prove that a relaxed version of the method is always convergent in. (H)over dot(1) under a mild separation condition on the particles. Moreover, we prove optimal convergence rates of the method in (W)over dot(1,q), 1 < q < infinity and in L-infinity in terms of the particle volume fraction under a stronger separation condition of the particles. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

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