Global solutions to coupled (Navier-)Stokes Newton systems in R3

Article type: Research Article

Authors: Hillairet, M.^{a; *} | Sabbagh, L.^b

Affiliations: [a] Institut Montpelliérain Alexander Grothendieck, Université Montpellier, CNRS, Montpellier, France | [b] Département de Mathématique, Université Libre de Bruxelles, Boulevard du Triomphe 155 1050 Brussels, Belgium

Correspondence: [*] Corresponding author. E-mail: matthieu.hillairet@umontpellier.fr.

Abstract: We consider the motion of spherical particles in the whole space R3 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.

Keywords: Fluid-solid systems, Stokes equations, contact issue, global-in-time existence of solutions

DOI: 10.3233/ASY-221790

Journal: Asymptotic Analysis, vol. 132, no. 1-2, pp. 217-243, 2023