On the Riccati dynamics of the Euler-Poisson equations with zero background state
Analysis of PDEs
2020-09-02 v1
Abstract
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].
Cite
@article{arxiv.2009.00580,
title = {On the Riccati dynamics of the Euler-Poisson equations with zero background state},
author = {Yongki Lee},
journal= {arXiv preprint arXiv:2009.00580},
year = {2020}
}