Addendum to "The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation"

i=2 ξi(x, t)vi−1(t){(Ai(zi−1(t)− zi(t))) − ‖zi−1(t)− zi(t)‖ 2 R3 ‖zi+1(t)− zi(t)‖R3 (Bi(zi+1(t)− zi(t)))}. (3) In the above, Ω is a bounded domain in R with boundary ∂Ω of class C, y(x, t) and p(x, t) are respectively the velocity and the pressure of the fluid at point x = (x1, x2, x3) ∈ Ω at time t, while ν is the kinematic viscosity constant. The swimmer in (1)–(3) is modeled as a collection of n open connected bounded sets Si(zi(t)), i = 1, . . . , n, of non-zero measure, identified with the fluid within the space they occupy. The points zi(t) are their respective centers of mass. The sets Si(zi(t)) are viewed as the given sets Si(0) (“0” stands for the origin) that have been shifted to the respective positions zi(t) without changing their orientation in space. Respectively, for i = 1, . . . , n,