Global weak solution to the 1D compressible Navier-Stokes equations with radiation

0349606 - MÚ 2011 RIV US eng J - Journal Article
Ducomet, B. - Nečasová, Šárka
Global weak solution to the 1D compressible Navier-Stokes equations with radiation.
Communications in Mathematical Analysis. Roč. 8, č. 3 (2010), s. 23-65. ISSN 1938-9787
R&D Projects: GA ČR GA201/08/0012
Institutional research plan: CEZ:AV0Z10190503
Keywords : weak solution * compressible flow * heat conductivity * radiation
Subject RIV: BA - General Mathematics
http://projecteuclid.org/euclid.cma/1279647305

We consider an initial-boundary value problem for the equations of one-dimensional motions of a compressible viscous heat-conducting gas coupled with radiation through a radiative transfer equation. Assuming suitable hypotheses on the transport coefficients, we prove that the problem admits a unique weak solution.
Permanent Link: http://hdl.handle.net/11104/0189798