Contents Online
Communications in Mathematical Sciences
Volume 13 (2015)
Number 7
Global weak solutions to 1D compressible Euler equations with radiation
Pages: 1905 – 1936
DOI: https://dx.doi.org/10.4310/CMS.2015.v13.n7.a11
Authors
Abstract
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.
Keywords
compressible, one-dimensional symmetry, radiative transfer
2010 Mathematics Subject Classification
35Q30, 76N10
Published 19 August 2015