Global Uniqueness of Subsonic Flows for the Steady Euler-Poisson System
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910165127659520 |
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| author | Bae, Myoungjean Duan, Ben Xie, Chunjing |
| author_facet | Bae, Myoungjean Duan, Ben Xie, Chunjing |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17739 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Global Uniqueness of Subsonic Flows for the Steady Euler-Poisson System Bae, Myoungjean Duan, Ben Xie, Chunjing Analysis of PDEs 35A02, 35J57, 35Q81, 76N10 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. |
| title | Global Uniqueness of Subsonic Flows for the Steady Euler-Poisson System |
| topic | Analysis of PDEs 35A02, 35J57, 35Q81, 76N10 |
| url | https://arxiv.org/abs/2603.17739 |