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Convergence rate for the compressible Navier–Stokes equations with external force. (English) Zbl 1184.35251
Under some smallness conditions, for the compressible time-dependent Navier-Stokes equations with a stationary potential force the authors prove convergence in time to stationary solution. Combining energy methods and spectrum estimates for linearized equations, they obtain an almost optimal convergence rate in \(L^2(\mathbb{R}^N)\)-norm for \(N\geq 3\).

MSC:
35Q30 Navier-Stokes equations
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
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