STABILITY OF A NONLINEAR WAVE FOR AN OUTFLOW PROBLEM OF THE BIPOLAR QUANTUM NAVIER-STOKES-POISSON SYSTEM

被引：1

作者：

Wu, Qiwei ^{[1
]}

Zhu, Peicheng ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 08期

关键词：

Bipolar quantum Navier-Stokes-Poisson system; outflow problem; large-time behavior; stationary solution; 2-rarefaction wave; ASYMPTOTIC STABILITY; STATIONARY SOLUTIONS; RAREFACTION WAVE; CONVERGENCE RATE; HALF-SPACE; EQUATIONS; EXISTENCE; FLUID; MODEL;

D O I：

10.3934/dcdsb.2024007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we shall investigate the large-time behavior of the solution to an outflow problem of the one-dimensional bipolar quantum NavierStokes-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 2rarefaction 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.

引用

页码：3346 / 3377

页数：32

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