Global Uniqueness of Subsonic Flows for the Steady Euler-Poisson System
Analysis of PDEs
2026-04-28 v2
Abstract
We prove the global uniqueness of multidimensional subsonic flows for the steady Euler--Poisson system in a bounded nozzle in the sense that uniqueness holds without restricting solutions to be small perturbations of a background state. The proof is based on a convexity property of the set of subsonic states and energy estimates.
Cite
@article{arxiv.2603.17739,
title = {Global Uniqueness of Subsonic Flows for the Steady Euler-Poisson System},
author = {Myoungjean Bae and Ben Duan and Chunjing Xie},
journal= {arXiv preprint arXiv:2603.17739},
year = {2026}
}
Comments
26 pages