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September 2003 Entropy solutions of a combustion model
Lung-An Ying
Commun. Math. Sci. 1(3): 393-407 (September 2003).


We study weak solutions to a combustion model problem. An equivalent conservation law with discontinuous flux is derived. Definition of an entropy solution is given, and the existence and uniqueness of the entropy solutions is proved. The convergence of a projection method and an implicit finite difference scheme is also proved. Finally using this approach we prove the convergence of a random projection method.


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Lung-An Ying. "Entropy solutions of a combustion model." Commun. Math. Sci. 1 (3) 393 - 407, September 2003.


Published: September 2003
First available in Project Euclid: 21 August 2009

zbMATH: 1085.80004
MathSciNet: MR2069936

Primary: 35L65 , 65M06 , 76M20 , 80A25

Keywords: combustion , conservation law , detonation wave , finite difference method , stiff equation

Rights: Copyright © 2003 International Press of Boston

Vol.1 • No. 3 • September 2003
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