The Dynamical Systems Approach to the Equations of a Linearly Viscous Compressible Barotropic Fluid

摘要

We develop a dynamical systems theory for the compressible Navier-Stokes equations based on global in time weak solutions. The following questions will be addressed: ·Global existence and critical values of the adiabatic constant; ·dissipativity in the sense of Levinson - bounded absorbing sets; ·asymptotic compactness; ·the long-time behaviour and attractors.