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

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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

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

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Publisher
Springer Journals
Copyright
Copyright © The Editorial Office of AMAS & Springer-Verlag GmbH Germany 2021
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-021-1042-8
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Oct 1, 2021

Keywords: stability; Lax-Friedrichs difference scheme; conservation law; entropy solution; 73L05; 41A60

References