Smooth and convergent $\varepsilon$-approximations of the first boundary-value problem for the equations of Kelvin–Voight fluids and Oldroyd fluids

In this paper we study the global classical solvability on the semiaxes $t\in\mathbb R^+$ of the first initial-boundary value problem for two-dimensional perturbed equations (11) and three-dimensional perturbed equations (12) and (13), and also we study the convergence for $\varepsilon\to0$ of solutions of all these perturbed problems to the classical solutions of the first boundaryvalue problem for the equations (8), (9) and (10). Bibliography: 10 titles.