Ricerche mat. https://doi.org/10.1007/s11587-018-0375-y On the steady deflagration process for a gas mixture undergoing irreversible reactions Marzia Bisi 1 · Fiammetta Conforto 2 · Roberto Monaco 3 · Angela Ricciardello 4 Received: 24 January 2018 / Revised: 17 February 2018 © Università degli Studi di Napoli "Federico II" 2018 Abstract Steady deflagration waves are investigated for a mixture of four gases undergoing a bimolecular irreversible reaction. The influence of Mach number, of con- centrations in the unperturbed state and of the chemical energy is shown via numerical simulations. Keywords Combustion problems · Navier–Stokes equations · Reacting gas mixtures Mathematics Subject Classification 76V05 · 80A25 · 76P05 1 Introduction In [7] the steady one-dimensional flame structure is investigated in a binary gas mixture of diatomic molecules and atoms, which undergo an irreversible exothermic recombi- B Roberto Monaco roberto.monaco@polito.it Marzia Bisi marzia.bisi@unipr.it Fiammetta Conforto fiammetta.conforto@unime.it Angela Ricciardello angela.ricciardello@unikore.it 1 University of Parma, Parma, Italy 2 University of Messina, Messina, Italy 3 Polytechnic of Turin, Turin, Italy 4 University of Enna “Kore”, Enna, Italy 123