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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.17447 |
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| _version_ | 1866909072518807552 |
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| author | Hu, Jingwei Jüngel, Ansgar Zamponi, Nicola |
| author_facet | Hu, Jingwei Jüngel, Ansgar Zamponi, Nicola |
| contents | The global-in-time existence of weak solutions to a spatially homogeneous multispecies Fokker-Planck-Landau system for plasmas in the three-dimensional whole space is shown. The Fokker-Planck-Landau system is a simplification of the Landau equations assuming a linearized, velocity-independent, and isotropic kernel. The resulting equations depend nonlocally and nonlinearly on the moments of the distribution functions via the multispecies local Maxwellians. The existence proof is based on a three-level approximation scheme, energy and entropy estimates, as well as compactness results, and it holds for both soft and hard potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_17447 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Global weak solutions for a nonlocal multispecies Fokker-Planck-Landau system Hu, Jingwei Jüngel, Ansgar Zamponi, Nicola Analysis of PDEs The global-in-time existence of weak solutions to a spatially homogeneous multispecies Fokker-Planck-Landau system for plasmas in the three-dimensional whole space is shown. The Fokker-Planck-Landau system is a simplification of the Landau equations assuming a linearized, velocity-independent, and isotropic kernel. The resulting equations depend nonlocally and nonlinearly on the moments of the distribution functions via the multispecies local Maxwellians. The existence proof is based on a three-level approximation scheme, energy and entropy estimates, as well as compactness results, and it holds for both soft and hard potentials. |
| title | Global weak solutions for a nonlocal multispecies Fokker-Planck-Landau system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2305.17447 |