大初始扰动下两流体完全可压缩Navier-Stokes-Poisson系统稀薄波的稳定性

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-28 DOI:10.1016/j.nonrwa.2025.104380

Qiwei Wu, Xiuli Xu, Jingjun Zhang

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引用次数: 0

摘要

本文研究了一维二流体全（非等熵）可压缩Navier-Stokes-Poisson系统Cauchy问题解的渐近行为，该系统模拟了等离子体中粘性带电粒子（离子和电子）的运动。在大的初始扰动下，只要稀薄波的强度足够小且绝热指数γ接近1，则稀薄波是时间渐近稳定的。该证明基于精细能量法，关键是导出密度函数的一致界。

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Stability of rarefaction wave for the two-fluid full compressible Navier–Stokes–Poisson system under large initial perturbation

In this paper, we are concerned with the asymptotic behavior of the solution to the Cauchy problem for the one-dimensional two-fluid full (non-isentropic) compressible Navier–Stokes–Poisson system, which models the motion of viscous charged particles (ions and electrons) in plasmas. The rarefaction wave is shown to be time-asymptotically stable under large initial perturbation as long as the strength of the rarefaction wave is sufficiently small and the adiabatic exponent

γ

is close to 1. The proof is based on a delicate energy method, and the key point is to derive the uniform bounds of the density functions.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.