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Global error estimates in zero-relaxation limit of Euler–Poisson system for ion dynamics.
- Source :
-
Applicable Analysis . May2024, Vol. 103 Issue 8, p1498-1512. 15p. - Publication Year :
- 2024
-
Abstract
- The zero-relaxation limit of Euler–Poisson systems for ion dynamics in a slow time scale leads to drift-diffusion equations. This fact was justified in previous works. This paper concerns global error estimates between solutions of Euler–Poisson systems and that of drift-diffusion equations. In the proof, we use Sobolev inequalities and employ a multiplier related to the electric potential. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 103
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 176582670
- Full Text :
- https://doi.org/10.1080/00036811.2023.2253829