Global weak solutions to the 1D compressible Euler equations with radiation

International audienceGlobal weak solutions to the 1D compressible Euler equations with radiation SUMMARY We consider the Cauchy problem for the equations of one-dimensional motion of a compressible inviscid gas coupled with radiation through a radiative transfer equation. Assuming suitable hypotheses on the transport coefficients and the data, we prove that the problem admits a weak solution. More precisely, we show that a sequence of approximate solutions constructed by a generalized Glimm's scheme admits a subsequence converging to an entropic solution of the problem