English

The dynamical systems approach to the equations of a linearly viscous compressible barotropic fluid

Dynamical Systems 2007-05-23 v1

Abstract

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; and the long-time behaviour and attractors.

Keywords

Cite

@article{arxiv.math/0304452,
  title  = {The dynamical systems approach to the equations of a linearly viscous compressible barotropic fluid},
  author = {Eduard Feireisl},
  journal= {arXiv preprint arXiv:math/0304452},
  year   = {2007}
}