Smooth global solutions of initial boundary-value problems for the equations of Oldroyd fluids and of their $\varepsilon$-approximations

The paper considers the solvability of the firsst and second initial boundary-value problems (with sticking or sliding conditions, respectively) for equations describing the motion of Oldroyd fluids and of their $\varepsilon$-approximations in classes of functions of higher smoothness. Bibliography: 23 titles.