Publication at Faculty of Mathematics and Physics |
2007
Abstract
We consider the compressible Navier--Stokes equations in an exterior three-dimensional domain with non-zero constant density prescribed at infinity. We assume that $p(\varrho) = \varrho^\gamma$, $\gamma >3/2$ and that the force is potential.
We show that for time tending to infinity, the density approaches the unique solution to the stationary problem, provided the potential satisfies certain regularity and structural assumptions.