Global solvability of the multidimensional Navier--Stokes equations of a compressible nonlinear viscous fluid. ~II (Q1307146)

The article is a continuation of the author's study of the multidimensional Navier-Stokes equations. In the first part [see \textit{A. E.~Mamontov}, Sib. Mat. Zh. 40, No. 2, 408-420 (1999)], the author stated the problem, announced results, and established the solvability of the stationary problem which is needed for justifying the Rothe method. The choice of this method relates to the necessity of invoking an analog of original differential equations for establishing boundedness of the derivatives with respect to time and, as a consequence, compactness of approximate solutions. The aim of the second part is to prove solvability of the evolution problem, in particular, for the limit stress tensor. The author constructs a solution to the evolution problem by the Rothe method with parabolic regularization and mollification of the convection terms.