On the quasineutral limit for the compressible Euler-Poisson equations

Jianwei Yang; Dongling Li; Xiao Yang

doi:10.3934/dcdsb.2022020

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2022, Volume 27, Issue 11: 6797-6806. Doi: 10.3934/dcdsb.2022020

This issue Previous Article Global well-posedness of the three-dimensional viscous primitive equations with bounded delays Next Article An efficient finite element method and error analysis for fourth order problems in a spherical domain

On the quasineutral limit for the compressible Euler-Poisson equations

School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450046, Henan Province, China

^*Corresponding author: Jianwei Yang
^*Corresponding author: Jianwei Yang

Received: August 2021

Revised: November 2021

Early access: February 2022

Published: November 2022

The first author is supported by Natural Science Foundation of Henan Province (No. 202300410277).

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Abstract

In this paper, we consider the quasineutral limit of compressible Euler-Poisson equations based on the concept of dissipative measure-valued solutions. In the case of well-prepared initial data under periodic boundary condictions, we prove that dissipative measure-valued solutions of the compressible Euler-Poisson equations converge to the smooth solution of the incompressible Euler system when the Debye length tends to zero.

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Mathematics Subject Classification: Primary: 35B25; Secondary: 35Q35.

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References

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