Derivation of Yudovich solutions of Incompressible Euler from the Vlasov-Poisson system
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916469611167744 |
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| author | Porat, Immanuel Ben Iacobelli, Mikaela Rege, Alexandre |
| author_facet | Porat, Immanuel Ben Iacobelli, Mikaela Rege, Alexandre |
| contents | We derive the two dimensional incompressible Euler equation as a quasineutral limit of the Vlasov-Poisson equation using a modulated energy approach. We propose a strategy which enables to treat solutions where the gradient of the velocity is merely $\mathrm{BMO}$, in accordance to the celebrated Yudovich theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14080 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Derivation of Yudovich solutions of Incompressible Euler from the Vlasov-Poisson system Porat, Immanuel Ben Iacobelli, Mikaela Rege, Alexandre Analysis of PDEs We derive the two dimensional incompressible Euler equation as a quasineutral limit of the Vlasov-Poisson equation using a modulated energy approach. We propose a strategy which enables to treat solutions where the gradient of the velocity is merely $\mathrm{BMO}$, in accordance to the celebrated Yudovich theorem. |
| title | Derivation of Yudovich solutions of Incompressible Euler from the Vlasov-Poisson system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2403.14080 |