The well-posedness of shock solutions to non-isentropic Euler-Poisson system with varying background charges

被引：0
|
作者：
Duan, Ben [1 ]
Xing, Yuanyuan [1 ]
机构：
[1] Dalian Univ Technol, Sch Math, Dalian, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2020年 / 71卷 / 05期
关键词：
Euler-Poisson equation; Transonic shock; Varying background charges; TRANSONIC SHOCK; HYDRODYNAMIC MODEL; FLOWS; NOZZLE;
D O I：
10.1007/s00033-020-01406-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the non-isentropic Euler-Poisson system with the varying background charges in flat nozzles is investigated. Under physically acceptable boundary conditions, we establish the monotonicity between shock location and the density at the exit of the nozzle. Moreover, the unique existence of the transonic shock solution is obtained.
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页数：12
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