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

2003/04/28 by Eduard Feireisl
Mathematics · #math.DS #msc:35Q30 #msc:35A05

paper · pdf

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

arxiv created 2003/04/28 · arxiv updated 2009/11/30

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.

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