Global solutions to the Euler-Poisson equations of two-carrier types in one dimension
type: Item
instance of: scholarly article
title: Global solutions to the Euler-Poisson equations of two-carrier types in one dimension
zbMATH Open document ID: 0879.35102
author: Dehua Wang
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1997-12-22T00:00:00Z
review text: The global solution to the one-dimensional Euler-Poisson equations of two-carrier types is constructed by the fractional Godunov method. In order to prove convergence of the approximate solutions to the exact solution the method of compensated compactness is applied. It is necessary to obtain some uniform estimates to handle coupling terms. The existence of the global weak entropy solution for any data is proved.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 78A35
zbMATH DE Number: 1057391
zbMATH Keywords: Godunov scheme
zbMATH Keywords: compensated compactness
MaRDI profile type: Publication
full work available at URL: s000330050056
OpenAlex ID: W2009215823
DOI: 10.1007/S000330050056
description: scientific article; zbMATH DE number 1057391