Zero-relaxation-time limits in the hydrodynamic equations for plasmas revisited
type: Item
instance of: scholarly article
title: Zero-relaxation-time limits in the hydrodynamic equations for plasmas revisited
zbMATH Open document ID: 0963.35115
author: Ansgar Jüngel
author: Yue-Jun Peng
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2000-08-06T00:00:00Z
review text: This paper gives a rigorous proof of the zero-relaxation-time limits in the hydrodynamic equations governing a plasma. The equations comprise the Euler equations for electrons and/or ions coupled with a linear or nonlinear Poisson equation. The proof, that relies on certain high energy estimates for the Euler equations, makes use of compactness arguments. It is shown that the result obtained in the form of a key theorem is valid for all adiabatic states for both electrons and ions. Attention is also drawn to the fact that the uniqueness question for solutions of the degenerate drift-diffusion equations is only partially solved.
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 82D10
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 1484708
zbMATH Keywords: compensated compactness
zbMATH Keywords: high energy estimates for the Euler equations
reviewed by: Alan Jeffrey
MaRDI profile type: Publication
full work available at URL: s000330050004
OpenAlex ID: W2025858900
DOI: 10.1007/S000330050004
description: scientific article; zbMATH DE number 1484708