Conditional asymptotic stability of solitary waves of the Euler-Poisson system on the line
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915837707812864 |
|---|---|
| author | Bae, Junsik Cuccagna, Scipio Maeda, Masaya |
| author_facet | Bae, Junsik Cuccagna, Scipio Maeda, Masaya |
| contents | We apply the idea of using a combination of virial inequalities and Kato smoothing, previously applied to NLS and generalized KdV pure power equations to Euler-Poisson: we assume that a solution remains very close for all times to a soliton in an appropriate space and then we prove an asymptotic convergence to a soliton for $t\to +\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05334 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conditional asymptotic stability of solitary waves of the Euler-Poisson system on the line Bae, Junsik Cuccagna, Scipio Maeda, Masaya Analysis of PDEs We apply the idea of using a combination of virial inequalities and Kato smoothing, previously applied to NLS and generalized KdV pure power equations to Euler-Poisson: we assume that a solution remains very close for all times to a soliton in an appropriate space and then we prove an asymptotic convergence to a soliton for $t\to +\infty$. |
| title | Conditional asymptotic stability of solitary waves of the Euler-Poisson system on the line |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.05334 |