Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913433438388224 |
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| author | Choi, Young-Pil Hwang, Byung-Hoon Yoo, Yeongseok |
| author_facet | Choi, Young-Pil Hwang, Byung-Hoon Yoo, Yeongseok |
| contents | In this paper, we study the nonlinear Vlasov-Fokker-Planck equation with fixed collision frequency. We establish the global-in-time existence of weak solutions to the equation with large initial data. Moreover, we show that our solution satisfies the conservation laws of mass, momentum, and energy, and Boltzmann's $H$-theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_07922 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation Choi, Young-Pil Hwang, Byung-Hoon Yoo, Yeongseok Analysis of PDEs In this paper, we study the nonlinear Vlasov-Fokker-Planck equation with fixed collision frequency. We establish the global-in-time existence of weak solutions to the equation with large initial data. Moreover, we show that our solution satisfies the conservation laws of mass, momentum, and energy, and Boltzmann's $H$-theorem. |
| title | Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2311.07922 |