Global solutions of Euler-Maxwell equations with dissipation
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909090283782144 |
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| author | Ducomet, Bernard Nečasová, Šárka Simon, John Sebastian H. |
| author_facet | Ducomet, Bernard Nečasová, Šárka Simon, John Sebastian H. |
| contents | We consider the Cauchy problem for a damped Euler-Maxwell system with no ionic background. For smooth enough data satisfying suitable so-called dispersive conditions, we establish the global in time existence and uniqueness of a strong solution that decays uniformly in time. Our method is inspired by the works of D. Serre and M. Grassin dedicated to the compressible Euler system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00669 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global solutions of Euler-Maxwell equations with dissipation Ducomet, Bernard Nečasová, Šárka Simon, John Sebastian H. Analysis of PDEs We consider the Cauchy problem for a damped Euler-Maxwell system with no ionic background. For smooth enough data satisfying suitable so-called dispersive conditions, we establish the global in time existence and uniqueness of a strong solution that decays uniformly in time. Our method is inspired by the works of D. Serre and M. Grassin dedicated to the compressible Euler system. |
| title | Global solutions of Euler-Maxwell equations with dissipation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.00669 |