Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916873589751808 |
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| author | Rousset, Frédéric Sun, Changzhen |
| author_facet | Rousset, Frédéric Sun, Changzhen |
| contents | We prove the linear and nonlinear asymptotic stability of small amplitude one-dimensional solitary waves submitted to small localized irrotational perturbations in the three dimensional Euler-Poisson system describing the dynamics of ions. In particular, in this regime, we obtain the existence of global smooth solutions and describe their asymptotic behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_23572 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system Rousset, Frédéric Sun, Changzhen Analysis of PDEs We prove the linear and nonlinear asymptotic stability of small amplitude one-dimensional solitary waves submitted to small localized irrotational perturbations in the three dimensional Euler-Poisson system describing the dynamics of ions. In particular, in this regime, we obtain the existence of global smooth solutions and describe their asymptotic behavior. |
| title | Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.23572 |