The Vlasov-Poisson-Boltzmann/Landau system with polynomial perturbation near Maxwellian
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866910460660416512 |
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| author | Cao, Chuqi Deng, Dingqun Li, Xingyu |
| author_facet | Cao, Chuqi Deng, Dingqun Li, Xingyu |
| contents | In this work, we consider the Vlasov-Poisson-Boltzmann system without angular cutoff and the Vlasov-Poisson-Landau system with Coulomb potential near a global Maxwellian $μ$. We establish the global existence, uniqueness and large time behavior for solutions in a polynomial-weighted Sobolev space $H^2_{x, v}( \langle v \rangle^k)$ for some constant $k >0$. The proof is based on extra dissipation generated from semigroup method and energy estimates on electrostatic field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_05569 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The Vlasov-Poisson-Boltzmann/Landau system with polynomial perturbation near Maxwellian Cao, Chuqi Deng, Dingqun Li, Xingyu Analysis of PDEs In this work, we consider the Vlasov-Poisson-Boltzmann system without angular cutoff and the Vlasov-Poisson-Landau system with Coulomb potential near a global Maxwellian $μ$. We establish the global existence, uniqueness and large time behavior for solutions in a polynomial-weighted Sobolev space $H^2_{x, v}( \langle v \rangle^k)$ for some constant $k >0$. The proof is based on extra dissipation generated from semigroup method and energy estimates on electrostatic field. |
| title | The Vlasov-Poisson-Boltzmann/Landau system with polynomial perturbation near Maxwellian |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2111.05569 |