Nonlinear stability of the one dimensional screened Vlasov Poisson equation
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913582475640832 |
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| author | Wei, Dongyi |
| author_facet | Wei, Dongyi |
| contents | We study the asymptotic behavior of small data solutions to the screened Vlasov Poisson(i.e. Vlasov-Yukawa) equation on ${\mathbb R}\times{\mathbb R}$ near vacuum. We show that for initial data small in Gevrey-2 regularity, the derivative of the density of order $n$ decays like $(t+1)^{-n-1}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_13798 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlinear stability of the one dimensional screened Vlasov Poisson equation Wei, Dongyi Analysis of PDEs We study the asymptotic behavior of small data solutions to the screened Vlasov Poisson(i.e. Vlasov-Yukawa) equation on ${\mathbb R}\times{\mathbb R}$ near vacuum. We show that for initial data small in Gevrey-2 regularity, the derivative of the density of order $n$ decays like $(t+1)^{-n-1}$. |
| title | Nonlinear stability of the one dimensional screened Vlasov Poisson equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2411.13798 |