TY - JOUR
T1 - Uniqueness of Transonic Shock Solutions to Euler-Poisson System with Varying Background Charges
AU - Zheng , Haoran
AU - Zhang , Jianqiao
JO - Communications in Mathematical Research 
VL - 4
SP - 400
EP - 412
PY - 2024
DA - 2024/12
SN - 40
DO - http://doi.org/10.4208/cmr.2024-0028
UR - https://global-sci.org/intro/article_detail/cmr/23699.html
KW - Euler-Poisson system, transonic shock solution, uniqueness, varying background charges.
AB - <p style="text-align: justify;">In this paper, we investigate a one-dimensional Euler-Poisson system 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 establish 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.</p>