Year: 2024
Author: Haoran Zheng, Jianqiao Zhang
Communications in Mathematical Research , Vol. 40 (2024), Iss. 4 : pp. 400–412
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2024-0028
Communications in Mathematical Research , Vol. 40 (2024), Iss. 4 : pp. 400–412
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Euler-Poisson system transonic shock solution uniqueness varying background charges.