Asymptotic formulas for the forces and torques of two close particles in a Stokes fluid

Abstract

The main goal of this paper is to establish the asymptotic formulas of forces and torques exerted by two closed spherical particles with prescribed velocities moving in a viscous fluid. Our proof is based on the decomposition into some more simple motions after a singular-regular decomposition of forces (torques) in the inner and outer region of expansions.