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

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

2003-04-28

arxiv.org/abs/math/0304452v1

Proceedings of the ICM, Beijing 2002, vol. 3, 295--304

Mathematics

Dynamical Systems

Scientific paper

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.

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