On the behavior of multidimensional radially symmetric solutions of the repulsive Euler-Poisson equations

被引：7

作者：

Rozanova, Olga S. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Math & Mech Dept, Moscow 119991, Russia

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2023年 / 443卷

关键词：

Euler-Poisson equations; Quasilinear hyperbolic system; Cold plasma; Blow up; CRITICAL THRESHOLDS;

D O I：

10.1016/j.physd.2022.133578

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that the radially symmetric solutions of the repulsive Euler-Poisson equations with a non-zero background, corresponding to cold plasma oscillations blow up in many spatial dimensions except for d = 4 for almost all initial data. The initial data, for which the solution may not blow up, correspond to simple waves. Moreover, if a solution is globally smooth in time, then it is either affine or tends to affine as t -> infinity.(c) 2022 Elsevier B.V. All rights reserved.

引用

页数：7

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