Communications in Mathematical Sciences
Volume 13 (2015)
Global weak solutions to 1D compressible Euler equations with radiation
Pages: 1905 – 1936
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 scheme admits a subsequence converging to an entropic solution of the problem.
compressible, one-dimensional symmetry, radiative transfer
2010 Mathematics Subject Classification