Abstract
Abstract The problem of a Stokes flow in the presence of a solid particle, a rigid wall and a viscous cell is formulated as a system of Fredholm integral equations of the second kind, with the surface force on the boundary of the solid particle and the velocity on the interface as unknowns. The particularity of the problem consists in the fact that the total force and the total torque of the flow on the solid particle are zero. The existence and the uniqueness result of solution is obtained when the boundaries are curves of the class C 2.
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