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

0349606 - MÚ 2011 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA201/08/0012
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: weak solution * compressible flow * heat conductivity * radiation
Kód oboru RIV: BA - Obecná matematika
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.
Trvalý link: http://hdl.handle.net/11104/0189798