| Autor: |
Cavallaro, Guido, Marchioro, Carlo |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Communications in Mathematical Sciences 22 (No. 5), 1455-1461 (2024) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.4310/CMS.2024.v22.n5.a11 |
| Popis: |
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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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