Abstract
We consider the compressible 1D-Navier–Stokes system for a viscous heat-conducting gas, with a pressure law p(ρ,θ)=Rρθ+ a 3 θ 4 and a one-order kinetics to include radiative and reactive processes. The mass force and the ignition phenomenon are also taken into account. For large data and under general assumptions on the heat conductivity, we establish global in time bounds and exponential stabilization for solutions in L q and H 1-norms, by using new Lyapunov functionals. To cite this article: B. Ducomet, A. Zlotnik, C. R. Acad. Sci. Paris, Ser. I 338 (2004).
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