# American Institute of Mathematical Sciences

2007, 2007(Special): 323-333. doi: 10.3934/proc.2007.2007.323

## Asymptotics for 1D flows with time-dependent external fields

 1 Département de physique théorique et appliquée, CEA, B.P. 12, Bruyères-le-Châtel

Received  September 2006 Revised  March 2007 Published  September 2007

We consider a free boundary problem for the Navier–Stokes system describing one–dimensional flows of a viscous compressible radiative and reactive gas, with time-dependent external fields. For prescribed decay rates of the data, we prove precise asymptotics for the solution as $t \rightarrow \infty$.
Citation: Bernard Ducomet. Asymptotics for 1D flows with time-dependent external fields. Conference Publications, 2007, 2007 (Special) : 323-333. doi: 10.3934/proc.2007.2007.323
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