On the quasineutral limit for the compressible Euler-Poisson equations-Reference-Cited by-同舟云学术

On the quasineutral limit for the compressible Euler-Poisson equations

Published:2022 Issue:11 Volume:27 Page:6797
ISSN:1531-3492
Container-title:Discrete and Continuous Dynamical Systems - B
language:
Short-container-title:DCDS-B

Author:

Yang Jianwei¹,Li Dongling¹,Yang Xiao¹

Affiliation:

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

Abstract

<p style='text-indent:20px;'>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.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference21 articles.

1. Y. Brenier.Convergence of the Vlasov-Poisson system to the incompressible Euler equations, Comm. Partial Differential Equations, 25 (2000), 737-754.

2. Y. Breinier, C. De Lellis, L. Székelyhidi Jr.Weak-strong uniqueness for measure-valued solutions, Comm. Math. Phys., 305 (2011), 351-361.

3. J. Březina and E. Feireisl, Measure-valued solutions to the complete Euler system revisited, Z. Angew. Math. Phys., 69 (2018), Paper No. 57, 17 pp.

4. N. Chaudhuri, On weak (measure-value)-strong uniqueness for compressible Navier-Stokes system with non-monotone pressure law, J. Math. Fluid Mech., 22 (2020), Paper No. 17, 13 pp.

5. S. Demoulini, D. M. A. Stuart, A. E. Tzavaras.Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics, Arch. Ration. Mech. Anal., 205 (2012), 927-961.