具有暗物质晕的扁平星系的存在性和稳定性
Flat galaxies with dark matter halos - existence and stability
摘要：
我们考虑一个模型的一个平坦的，盘状星系周围的晕的暗物质，即一个Vlasov-Poisson型系统的两个粒子种类，其中的恒星被限制在银道面和暗物质粒子。这些成分只通过恒星和暗物质共同创造的引力势相互作用。使用变分方法，我们证明了在适当的限制扰动下的稳态解的存在性和非线性稳定性。
英文摘要：
We consider a model for a flat, disk-like galaxy surrounded by a halo of dark matter, namely a Vlasov-Poisson type system with two particle species, the stars which are restricted to the galactic plane and the dark matter particles. These constituents interact only through the gravitational potential which stars and dark matter create collectively. Using a variational approach we prove the existence of steady state solutions and their nonlinear stability under suitably restricted perturbations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
