The 2D Euler-Poisson System with Spherical Symmetry

Details The 2D Euler-Poisson System with Spherical Symmetry The 2D Euler-Poisson System with Spherical Symmetry

2011-09-12

arxiv.org/abs/1109.2643v1

Mathematics

Analysis of PDEs

Scientific paper

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 $(1+t)^{-1}$ of the linear system.
Inspired by Ozawa, Tsutaya, and Tsutsumi's work, we show that such smooth
solutions exist for radially symmetric flows.

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