Abstract
We study the large-time behavior of the solution of an initial-boundary value problem for the equations of 1D motions of a compressible viscous heat-conducting gas coupled to radiation through a radiative transfer equation. Assuming suitable hypotheses on the transport coefficients and adapted boundary conditions, we prove that the unique strong solution of this problem converges toward a well-determined equilibrium state at exponential rate.
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Ducomet, B., Nečasová, Š. Large-time behavior of the motion of a viscous heat-conducting one-dimensional gas coupled to radiation. Annali di Matematica 191, 219–260 (2012). https://doi.org/10.1007/s10231-010-0180-z
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DOI: https://doi.org/10.1007/s10231-010-0180-z