Weak Deflagration Solutions to the Simplest Combustion Model

In the present paper we prove that all the weak deflagration solutions of the CJ-model, which for the given Riemann initial data are a one-parameter family {uη} characterized by weak deflagration discontinuity point η, are just the limits of the admissible solutions uεk of the selfsimilar combustion model. In fact. We prove that for any possible η, there exists a constant B>0 s.t. [formula]