On one class of functions for compatibility condition

We study the stationary problem of a flow around a finite solid body of a stream of viscous non-Newtonian fluid. The problem is considered in the linearized formulation for the case where the fluid velocity goes to zero at infinity. Necessary and sufficient condition for the existence of solution of the problem is formulated. Class of functions in the right part of the equation of motion, which satisfy this condition, is described. Examples are provided.