Global solutions to coupled (Navier-)Stokes Newton systems in R 3-Reference-Cited by-同舟云学术

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Global solutions to coupled (Navier-)Stokes Newton systems in R 3

Published:2023-03-02 Issue:1-2 Volume:132 Page:217-243
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Hillairet M.¹,Sabbagh L.²

Affiliation:

1. Institut Montpelliérain Alexander Grothendieck, Université Montpellier, CNRS, Montpellier, France

2. Département de Mathématique, Université Libre de Bruxelles, Boulevard du Triomphe 155 1050 Brussels, Belgium

Abstract

We consider the motion of spherical particles in the whole space R 3 filled with a viscous fluid. We show that, when modelling the fluid behavior with an incompressible Stokes system, solutions are global and no collision occurs between the spheres in finite time.

Publisher

IOS Press

Subject

General Mathematics

Reference20 articles.

1. Existence of solutions for the equations modelling the motion of a rigid body in a viscous fluid;Conca;Comm. Partial Differential Equations,2000

2. Well posedness for the system modelling the motion of a rigid body of arbitrary form in an incompressible viscous fluid;Cumsille;Czechoslovak Math. J.,2008

3. Existence of weak solutions for the motion of rigid bodies in a viscous fluid;Desjardins;Arch. Ration. Mech. Anal.,1999

4. On weak solutions for fluidrigid structure interaction: Compressible and incompressible models;Desjardins;Comm. Partial Differential Equations,2000

5. Corrector equations in fluid mechanics: Effective viscosity of colloidal suspensions;Duerinckx;Arch. Ration. Mech. Anal.,2021

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