Kondrat’eva, T. V.; Kholopov, V. M. Asymptotics of a stationary combustion wave for an autocatalytic reaction of the first order. (Russian. English summary) Zbl 1016.80007 Vestn. Syktyvkar. Univ., Ser. 1, Mat. Mekh. Inform. 1, 155-167 (1995). Summary: We suggest the construction of the asymptotics of a stationary combustion wave for an autocatalytic reaction of the first order in condensed phase \((Le=0\), \(Le\) is the Lewis number) and in gas \((Le>0)\). We find the first terms of the asymptotic of the solution over a small parameter \(\gamma\). We also find the asymptotic of the rate of combustion. MSC: 80A25 Combustion PDF BibTeX XML Cite \textit{T. V. Kondrat'eva} and \textit{V. M. Kholopov}, Vestn. Syktyvkar. Univ., Ser. 1, Mat. Mekh. Inform. 1, 155--167 (1995; Zbl 1016.80007) OpenURL