Absence of shocks for one dimensional Euler-Poisson system
type: Item
instance of: scholarly article
title: Absence of shocks for one dimensional Euler-Poisson system
zbMATH Open document ID: 1361.35144
author: Yong-Cai Geng
author: Sumit K. Garg
published in: Archive for Rational Mechanics and Analysis
publication date: 2017-02-16T00:00:00Z
full work available at URL: https://arxiv.org/abs/1502.00398
review text: The one-dimensional Euler-Poisson system describing the simplest two-fluid model in plasma physics is studied under the electroneutrality assumption. The authors show that dispersive effects of the electric field enhance the linearized decay rate and prevent shock formation for solutions with (sufficiently) smooth small initial data.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 6685084
zbMATH Keywords: Euler-Poisson system
zbMATH Keywords: dispersive effects
zbMATH Keywords: global solutions
MaRDI profile type: Publication
OpenAlex ID: W3103891790
arXiv ID: 1502.00398
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DOI: 10.1007/S00205-016-1053-4
description: scientific article