A note on the non-existence of small non-trivial compact solutions for Euler-Poisson equation in 1D
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866918399134662656 |
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| author | Maeda, Masaya Mizumachi, Tetsu |
| author_facet | Maeda, Masaya Mizumachi, Tetsu |
| contents | In this short note, we prove the non-existence of slow and fast small nontrivial compact solutions for the Euler-Poisson system in $1$D. The proof is based on the virial estimate which provides local in space average decay of bounded small solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19662 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A note on the non-existence of small non-trivial compact solutions for Euler-Poisson equation in 1D Maeda, Masaya Mizumachi, Tetsu Analysis of PDEs In this short note, we prove the non-existence of slow and fast small nontrivial compact solutions for the Euler-Poisson system in $1$D. The proof is based on the virial estimate which provides local in space average decay of bounded small solutions. |
| title | A note on the non-existence of small non-trivial compact solutions for Euler-Poisson equation in 1D |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.19662 |