Asymptotic behavior of the solution for one-dimensional equations of a viscous reactive gas. (English) Zbl 1143.35010

The author studies the asymptotic behavior of the complete system of equations governing a heat-conductive, reactive, compressible viscous gas between two parallel infinite plates. This system is assumed to be symmetric: the parameters vary only in one direction perpendicular to the plates. Under such symmetry the equations have only one spatial variable. The system of equations describe some kind of burning fuel. It is proved that the solution tends to a constant state as time tends to infinity. The decay rate is estimated.


35B40 Asymptotic behavior of solutions to PDEs
35B35 Stability in context of PDEs
35L50 Initial-boundary value problems for first-order hyperbolic systems
76V05 Reaction effects in flows
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