Abstract
This paper is concerned with the asymptotic behavior of solutions to an outflow problem for the one-dimensional bipolar quantum Navier-Stokes-Poisson equations in the half space. First, by means of the manifold theory and the center manifold theorem, we show the existence and spatial decay rate of the stationary solution provided the boundary strength is small enough. Next, based on elaborate energy estimates, we prove that the stationary solution is asymptotically stable in the case that the boundary strength and the initial perturbation around the stationary solution are sufficiently small.
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