Communications in Mathematical Sciences
Volume 1 (2003)
Entropy solutions of a combustion model
Pages: 393 – 407
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.
combustion; finite difference method; detonation wave; stiff equation; conservation law
2010 Mathematics Subject Classification
35L65, 65M06, 76M20, 80A25