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- Title
Stability of a nonlinear wave for an outflow problem of the bipolar quantum Navier-Stokes-Poisson system.
- Authors
Wu, Qiwei; Zhu, Peicheng
- Abstract
In this paper, we shall investigate the large-time behavior of the solution to an outflow problem of the one-dimensional bipolar quantum Navier-Stokes-Poisson system in the half space. Under some suitable assumptions on the boundary data and the space-asymptotic states, we successfully construct a nonlinear wave which is the superposition of the stationary solution and the 2-rarefaction wave. Then, by means of the $ L^2 $-energy method, we prove that this nonlinear wave is asymptotically stable provided that the initial perturbation and the strength of the stationary solution are small enough, while the strength of the 2-rarefaction wave can be arbitrarily large.
- Subjects
NONLINEAR waves; NONLINEAR boundary value problems
- Publication
Discrete & Continuous Dynamical Systems - Series B, 2024, Vol 29, Issue 8, p1
- ISSN
1531-3492
- Publication type
Article
- DOI
10.3934/dcdsb.2024007