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

Eduard Feireisl

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

Eduard Feireisl

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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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Eduard Feireisl. 2003-04-28. The dynamical systems approach to the equations of a linearly viscous compressible barotropic fluid. https://arxiv.org/abs/math/0304452

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