The limit of the vanishing ratio of the electron mass to the ion mass in the isentropic transient Euler-Poisson equations with periodic boundary conditions is proved. The equations consist of the balance laws for the electron density and current density for a given ion density, coupled to the Poisso
Zero-mass-electrons limits in hydrodynamic models for plasmas
✍ Scribed by T. Goudon; A. Jüngel; Y.-J. Peng
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 248 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
Communicated by P. Markowich
Abstract--We study the zero-mass-electrons limits in the hydrodynamic models for plasmas consisting of electrons and ions. We prove, under suitable assumptions, that the evolution of the ions is governed by the Euler equations coupled with a nonlinear Poisson equation, as the mass of electrons tends to zero. (~) 1999 Elsevier Science Ltd. All rights reserved.
📜 SIMILAR VOLUMES
A model hierarchy of hydrodynamic and quasi-hydrodynamic equations for plasmas consisting of electrons and ions is presented. The various model equations are obtained from the transient Euler-Poisson system for electrons and ions in the zero-electron-mass limit and/or in the zero-relaxation-time lim