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Decay estimates for the compressible Navier-Stokes equations in unbounded domains. (English) Zbl 0752.35048
We consider the Navier-Stokes equations for a compressible viscous and heat-conductive fluid in the half space or an exterior domain of \(\mathbb{R}^ 3\). By means of suitable differential inequalities and a-priori estimates for elliptic problems we give explicit estimates for the rate with which the instationary solution converges to the corresponding stationary state as \(t\to\infty\).
Reviewer: K.Deckelnick

35Q30 Navier-Stokes equations
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
35B40 Asymptotic behavior of solutions to PDEs
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