Existence of travelling wave solutions in a combustion-radiation model (Q5936442)

The authors prove existence of travelling solutions with increased speed w.r.t. the adiabatic case for a model of premixed flames propagating in a gaseous mixture containing inert dust. The proof is based on using a fixed point argument to construct the approximate solutions on a sequence of finite intervals \([-b,b]\) and then taking the limit \(b\to\infty\) along a suitable sequence.