Global existence of plasma ion-sheaths and their dynamics
type: Item
instance of: scholarly article
title: Global existence of plasma ion-sheaths and their dynamics
zbMATH Open document ID: 1055.35085
author: Seung-Yeal Ha
author: Marshall Slemrod
published in: Communications in Mathematical Physics
publication date: 2003-12-16T00:00:00Z
review text: The authors study simplified Euler-Poisson systems (E-P) describing the motion of plasma sheaths in a plasma consisting of ions and electrons. Their goal is to describe the dynamics of the plasma in both the quasi-neutral and sheath regions. The simplification of (E-P) uses symmetries, planar geometry, and scaling adjusted to the physical problem. The problem is formulated as a free boundary value problem, and the simplified (E-P) is subject to initial and boundary conditions on a bounded domain which is decomposed into two subdomains (a `quasi-neutral region' and a `sheath region'). On each subdomain a specialized version of (E-P) is considered according to suitable physical situations. Under certain regularity assumptions the authors prove the existence of global solutions of the `ion sheath system' using a characteristic method whereas the study of the dynamics of the `plasma sheath system' uses ODEs.
Mathematics Subject Classification ID: 35Q05
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 82D10
zbMATH DE Number: 2018514
zbMATH Keywords: Euler equation
zbMATH Keywords: plasma dynamics
zbMATH Keywords: free boundary value problem
zbMATH Keywords: quasi-neutral region
zbMATH Keywords: sheath region
reviewed by: Horst Lange
MaRDI profile type: Publication
full work available at URL: s00220-003-0871-z
OpenAlex ID: W1963817679
DOI: 10.1007/S00220-003-0871-Z
description: scientific article; zbMATH DE number 2018514