Stability of Entropy Solution of Conservation Law Systems on Flow Function and Relaxation Function

In this paper, using the fractional step Lax-Friedrichs difference scheme, we establish the stability of the entropy solution on flow function and relaxation function for a class of conservation law systems with a source term and a relaxation term.

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Bibliographic Details
Published inActa Mathematicae Applicatae Sinica Vol. 37; no. 4; pp. 747 - 757
Main Authors Geng, Jin-bo, Wang, Xu-dong
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2021
Springer Nature B.V
EditionEnglish series
Subjects
Applications of Mathematics
Conservation
Entropy of solution
Flow stability
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
73L05
41A60
entropy solution
conservation law
stability
Lax-Friedrichs difference scheme
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Summary:In this paper, using the fractional step Lax-Friedrichs difference scheme, we establish the stability of the entropy solution on flow function and relaxation function for a class of conservation law systems with a source term and a relaxation term.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-021-1042-8