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arXiv · 2603.17739

Global Uniqueness of Subsonic Flows for the Steady Euler-Poisson System

Myoungjean Bae·Ben Duan·Chunjing Xie
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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.

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Myoungjean Bae, Ben Duan, Chunjing Xie. 2026-03-18. Global Uniqueness of Subsonic Flows for the Steady Euler-Poisson System. https://arxiv.org/abs/2603.17739

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