Three-dimensional supersonic flows of Euler-Poisson system for potential flow
Analysis of PDEs
2021-03-03 v1
Abstract
We prove the unique existence of supersonic solutions of the Euler- Poisson system for potential flow in a three-dimensional rectangular cylinder when prescribing the velocity and the strength of electric field at the entrance. Overall, the main framework is similar to [1], but there are several technical differences to be taken care of vary carefully. And, it is our main goal to treat all the technical differences occurring when one considers a three dimensional supersonic solution of the steady Euler-Poisson system.
Cite
@article{arxiv.2103.01465,
title = {Three-dimensional supersonic flows of Euler-Poisson system for potential flow},
author = {Myoungjean Bae and Hyangdong Park},
journal= {arXiv preprint arXiv:2103.01465},
year = {2021}
}