The ignition problem for a scalar nonconvex combustion model

[摘要] The ignition problem for the scalar Chapman-Jouguet combustion model without convexity is considered. Under the pointwise and global entropy conditions, we constructively obtain the existence and uniqueness of the solution and show that the unburnt state is stable (unstable) when the binding energy is small (large), which is the desired property for a combustion model. The transitions between deflagration and detonation are shown, which do not appear in the convex case. (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-12-15

[关键词] scalar nonconvex combustion model;ignition problem;detonation;deflagration;transitions between deflagration and detonation