Entropy solutions of a combustion model
Ying, Lung-An
Commun. Math. Sci., Tome 1 (2003) no. 1, p. 393-407 / Harvested from Project Euclid
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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.
Publié le : 2003-09-15
Classification:  combustion,  finite difference method,  detonation wave,  stiff equation,  conservation law,  65M06,  35L65,  76M20,  80A25 
@article{1250880092,
     author = {Ying, Lung-An},
     title = {Entropy solutions of a combustion model},
     journal = {Commun. Math. Sci.},
     volume = {1},
     number = {1},
     year = {2003},
     pages = { 393-407},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250880092}
}

Ying, Lung-An. Entropy solutions of a combustion model. Commun. Math. Sci., Tome 1 (2003) no. 1, pp.  393-407. http://gdmltest.u-ga.fr/item/1250880092/