English

The 2D Euler-Poisson System with Spherical Symmetry

Analysis of PDEs 2015-05-30 v1 Mathematical Physics math.MP

Abstract

This article concerns the global-in-time existence of smooth solutions with small amplitude to two space dimensional Euler-Poisson system. The main difficulty lies in the slow time decay (1+t)1(1+t)^{-1} of the linear system. Inspired by Ozawa, Tsutaya, and Tsutsumi's work, we show that such smooth solutions exist for radially symmetric flows.

Keywords

Cite

@article{arxiv.1109.2643,
  title  = {The 2D Euler-Poisson System with Spherical Symmetry},
  author = {Juhi Jang},
  journal= {arXiv preprint arXiv:1109.2643},
  year   = {2015}
}
R2 v1 2026-06-21T19:03:48.195Z