The gravitational Vlasov-Poisson system with infinite mass and velocities in $\mathbb{R}^3$
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917721999933440 |
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| author | Cavallaro, Guido Marchioro, Carlo |
| author_facet | Cavallaro, Guido Marchioro, Carlo |
| contents | We study existence and uniqueness of the solution to the gravitational Vlasov-Poisson system evolving in $\mathbb{R}^3$.
It is assumed that initially the particles are distributed according to a spatial density with a power-law decay in space, allowing for unbounded mass, and an exponential decay in velocities given by a Maxwell-Boltzmann law. We extend a classical result which holds for systems with finite total mass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03798 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The gravitational Vlasov-Poisson system with infinite mass and velocities in $\mathbb{R}^3$ Cavallaro, Guido Marchioro, Carlo Analysis of PDEs Mathematical Physics 35Q83, 35Q85, 85A05 We study existence and uniqueness of the solution to the gravitational Vlasov-Poisson system evolving in $\mathbb{R}^3$. It is assumed that initially the particles are distributed according to a spatial density with a power-law decay in space, allowing for unbounded mass, and an exponential decay in velocities given by a Maxwell-Boltzmann law. We extend a classical result which holds for systems with finite total mass. |
| title | The gravitational Vlasov-Poisson system with infinite mass and velocities in $\mathbb{R}^3$ |
| topic | Analysis of PDEs Mathematical Physics 35Q83, 35Q85, 85A05 |
| url | https://arxiv.org/abs/2402.03798 |