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

In this paper we study the global classical solvability of the first initial boundary-value problem for the three-dimensional perturbed equations (33), (34), (38) and (39), and also we study the convergence as $\varepsilon\to0$ of solutions of all these perturbed problems to the classical solutions of the first initial boundary-value problem for the equations (1) and (2). Bibliography: 19 titles.