NONLINEAR STABILITY OF COMPOSITE WAVES FOR ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS FOR A REACTING MIXTURE

摘要

In this paper, we study the long-time behavior of the solutions for the initial-boundary value problem to a one-dimensional Navier-Stokes equations for a reacting mixture in a half line R+ := (0,infinity). We give the asymptotic stability of not only stationary solution for the impermeability problem but also the composite waves consisting of the subsonic BL-solution, the contact wave, and the rarefaction wave for the inflow problem of Navier-Stokes equations for a reacting mixture under some smallness conditions. The proofs are based on basic energy method.

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