TY - JOUR
T1 - The Generalized Riemann Problem for a Scalar Combustion Model-the Perturbation on Initial Binding Energy
AU - Lijun Pan  & Wancheng Sheng 
JO - Journal of Partial Differential Equations
VL - 4
SP - 335
EP - 346
PY - 2008
DA - 2008/11
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5286.html
KW - Scalar Chapman-Jouguet combustion model
KW - binding energy
KW - perturbation
KW - detonation
KW - deflagration
AB -  In this paper, we study the generalized Riemann problem for a scalar Chapman-Jouguet combustion model in a neighborhood of the origin on upper half of the (x, t) plane. We focus our attention on the perturbation on initial binding energy. Under the entropy conditions, the solutions are obtained constructively. It shows that the perturbed Riemann solutions possess the structural stability except the case that the corresponding Riemann solutions contain CJDT, for which CJDT may transform into SDT after perturbation on initial binding energy in the neighborhood of the origin.