The Dynamical Systems Approach to the Navier-Stokes Equations of Compressible Fluids

Eduard Feireisl ()
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Eduard Feireisl: Institute of Mathematics AV ČR

A chapter in Advances in Mathematical Fluid Mechanics, 2000, pp 35-66 from Springer

Abstract: Abstract We develop a dynamical system theory for the Navier-Stokes equations of isentropic compressible fluid flows in three space dimensions. Such a theory is based on a priori estimates, asymptotic compactness of solutions and an exact description of propagation of oscillations in the density component. The abstract theory yields several results concerning the long-time behaviour of solutions, in particular, the convergence towards a stationary state of a potential flow is proved.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-57308-8_2

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DOI: 10.1007/978-3-642-57308-8_2

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