Bifurcation from the Kurth solution in galactic dynamics
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917133060931584 |
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| author | Kunze, Markus Ortega, Rafael |
| author_facet | Kunze, Markus Ortega, Rafael |
| contents | It will be shown that there exists an infinite-dimensional continuum ${\cal C}$ of weak static solutions of the Vlasov-Poisson system that bifurcates from the Kurth solution. Each $f_\ast\in {\cal C}$ has the charge density $ρ_{f_\ast}=ρ_{\rm Kurth}$, and (like the Kurth solution itself) each $f_\ast$ is surrounded by time-periodic weak solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07746 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bifurcation from the Kurth solution in galactic dynamics Kunze, Markus Ortega, Rafael Analysis of PDEs Mathematical Physics 35Q83, 85A05 It will be shown that there exists an infinite-dimensional continuum ${\cal C}$ of weak static solutions of the Vlasov-Poisson system that bifurcates from the Kurth solution. Each $f_\ast\in {\cal C}$ has the charge density $ρ_{f_\ast}=ρ_{\rm Kurth}$, and (like the Kurth solution itself) each $f_\ast$ is surrounded by time-periodic weak solutions. |
| title | Bifurcation from the Kurth solution in galactic dynamics |
| topic | Analysis of PDEs Mathematical Physics 35Q83, 85A05 |
| url | https://arxiv.org/abs/2512.07746 |