STABILITY OF TRANSONIC SHOCKS TO THE EULER-POISSON SYSTEM WITH VARYING BACKGROUND CHARGES

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外文摘要：This paper is devoted to studying the stability of transonic shock solutions to the Euler-Poisson system in a one-dimensional nozzle of finite length.The background charge in the Poisson equation is a piecewise constant function.The structural stability of the steady transonic shock solution is obtained by the monotonicity argument.Furthermore,this transonic shock is proved to be dynamically and exponentially stable with respect to small perturbations of the initial data.One of the crucial ingredients of the analysis is to establish the global well-posedness of a free boundary problem for a quasilinear second order equation with nonlinear boundary conditions.

外文关键词：

Euler-Poisson systemtransonic shockvarying background chargesstability

作者：

曹杨、邢媛媛、张娜

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作者单位：

School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China

School of mathematics and statistics,Wuhan University,Wuhan 430070,China

基金：

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaFundamental Research Funds for the Central Universities

项目编号：

1187113412171166DUT23LAB303

出版年：

2024

DOI：

10.1007/s10473-024-0416-4

数学物理学报(英文版)

中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD

影响因子：0.256

ISSN：0252-9602

年,卷(期)：2024.44(4)