On the Riccati dynamics of the Euler-Poisson equations with zero background state

Yongki Lee

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arXiv · 2009.00580

On the Riccati dynamics of the Euler-Poisson equations with zero background state

Yongki Lee

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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].

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Yongki Lee. 2020-09-01. On the Riccati dynamics of the Euler-Poisson equations with zero background state. https://arxiv.org/abs/2009.00580

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