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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2407.02822 |
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| _version_ | 1866909240694669312 |
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| author | Duan, Renjun Zhang, Zhiwen |
| author_facet | Duan, Renjun Zhang, Zhiwen |
| contents | In this note we adopt an approach by Grenier, Nguyen and Rodnianski in \cite{GNR} for studying the nonlinear Landau damping of the two-species Vlasov-Poisson system in the phase space $\mathbb{T}^d_x \times \mathbb{R}^d_v$ with the dimension $d\geq 1$. The main goal is twofold: one is to extend the one-species case to the two-species case where the electron mass is finite and the ion mass is sufficiently large, and the other is to modify the $G$-functional such that it involves the norm in $L^{d+1}$ instead of $L^2$ as well as derivatives up to only the first order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02822 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on Landau damping of two-species Vlasov-Poisson system Duan, Renjun Zhang, Zhiwen Analysis of PDEs 35Q83 In this note we adopt an approach by Grenier, Nguyen and Rodnianski in \cite{GNR} for studying the nonlinear Landau damping of the two-species Vlasov-Poisson system in the phase space $\mathbb{T}^d_x \times \mathbb{R}^d_v$ with the dimension $d\geq 1$. The main goal is twofold: one is to extend the one-species case to the two-species case where the electron mass is finite and the ion mass is sufficiently large, and the other is to modify the $G$-functional such that it involves the norm in $L^{d+1}$ instead of $L^2$ as well as derivatives up to only the first order. |
| title | A note on Landau damping of two-species Vlasov-Poisson system |
| topic | Analysis of PDEs 35Q83 |
| url | https://arxiv.org/abs/2407.02822 |