The solvability of the initial boundary-value problem for equations of motion of a viscous compressible barotropic liquid in the spacesW 2 l+1,l/2+1 (Q T )

Abstract

A new method of estimating the solutions of the Navier-Stokes equations for a viscous compressible barotropic fluid in a bounded domain {Omega} {contained_in} R{sup 3} suggested, which makes it possible to investigate the problem for the whole scale of anisotropic spaces W{sub 2}{sup l+2, l/2+1} (Q{sub T}), Q{sub T} = {Omega} x (0,T), for arbitrary l > 1/2.