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arXiv · 2512.07746

Bifurcation from the Kurth solution in galactic dynamics

Markus Kunze·Rafael Ortega
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Abstract

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 $\rho_{f_\ast}=\rho_{{\rm Kurth}}$, and (like the Kurth solution itself) each $f_\ast$ is surrounded by time-periodic weak solutions.

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Markus Kunze, Rafael Ortega. 2025-12-08. Bifurcation from the Kurth solution in galactic dynamics. https://arxiv.org/abs/2512.07746

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