Bounds on the Aspect Ratio of the Momentum Support of a 2D Collisionless Plasma
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912135103119360 |
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| author | Hernandez, Matthew Patel, Neel Salguero, Elena |
| author_facet | Hernandez, Matthew Patel, Neel Salguero, Elena |
| contents | The relativistic Vlasov-Maxwell system is a kinetic model for collisionless plasmas. For the two-dimensional model, global well-posedness of this model is known and was proven by deriving global bounds on the momentum support of the particle density function. In this paper, we prove bounds on the magnitude of the momentum support in one direction depending on the magnitude of the support in the corresponding orthogonal direction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18610 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bounds on the Aspect Ratio of the Momentum Support of a 2D Collisionless Plasma Hernandez, Matthew Patel, Neel Salguero, Elena Analysis of PDEs The relativistic Vlasov-Maxwell system is a kinetic model for collisionless plasmas. For the two-dimensional model, global well-posedness of this model is known and was proven by deriving global bounds on the momentum support of the particle density function. In this paper, we prove bounds on the magnitude of the momentum support in one direction depending on the magnitude of the support in the corresponding orthogonal direction. |
| title | Bounds on the Aspect Ratio of the Momentum Support of a 2D Collisionless Plasma |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2411.18610 |