论文标题
等离子体在稳定的Penrose数据附近回声
Plasma echoes near stable Penrose data
论文作者
论文摘要
在本文中，我们在$ \ mathbb {t} \ times \ mathbb {r} $上构造了经典的Vlasov-Poisson系统的特定解决方案，这些解决方案是$ \ mathbb {t} \ times \ mathbb {r} $，它们是基本波和任意高频的组合。这些波相互相互作用，最终与越来越小的振幅的无限级联相互作用。回声解决方案不属于Mouhot和Villani研究的分析或Gevrey类，但仍在很大程度上表现出阻尼现象。
In this paper we construct particular solutions to the classical Vlasov-Poisson system near stable Penrose initial data on $\mathbb{T} \times \mathbb{R}$ that are a combination of elementary waves with arbitrarily high frequencies. These waves mutually interact giving birth, eventually, to an infinite cascade of echoes of smaller and smaller amplitude. The echo solutions do not belong to the analytic or Gevrey classes studied by Mouhot and Villani, but do, nonetheless, exhibit damping phenomena for large times.
