论文标题
关于欧拉波森方程的Riccati动力学，背景状态为零
On the Riccati dynamics of the Euler-Poisson equations with zero background state
论文作者
论文摘要
本文研究了与有吸引力或排斥力相关的二维Euler-Poisson方程。我们主要研究控制流量梯度的Riccati系统。在适当的条件下，显示出Euler-Poisson系统可以为大量初始配置提供全局平滑解决方案。本文是我们以前的作品的延续[8]。
This paper studies the two-dimensional Euler-Poisson equations associated with either attractive or repulsive forces. We mainly study the Riccati system that governs the flow's gradient. Under a suitable condition, it is shown that the Euler-Poisson system admits global smooth solutions for a large set of initial configurations. This paper is a continuation of our former work [8].
