Uniqueness of Transonic Shock Solutions to Euler-Poisson System with Varying Background Charges  

作　　者：Haoran Zheng Jianqiao Zhang 

机构地区：[1]School of Mathematics,Jilin University,Changchun 130012,P.R.China.

出　　处：《Communications in Mathematical Research》2024年第4期400-412,共13页数学研究通讯(英文版)

摘　　要：In this paper,we investigate a one-dimensional Euler-Poisson sys-tem with varying background charges,which are two different constants when the flow speed is less than and greater than the sound speed.Using the shock matching method,we derive the properties of the solution trajectories and es-tablish a monotonic relationship between the density at the nozzle exit and the shock position.This relationship demonstrates the existence and uniqueness of a transonic shock solution under suitable boundary conditions.

关 键 词：Euler-Poisson system transonic shock solution UNIQUENESS varying back-ground charges. 

分 类 号：O177[理学—数学]