Geodesic
On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting fluid
Annales Polonici Mathematici, Tome 63 (1996) no. 3, pp. 199-221.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider the motion of a viscous compressible heat conducting fluid in ℝ³ bounded by a free surface which is under constant exterior pressure. Assuming that the initial velocity is sufficiently small, the initial density and the initial temperature are close to constants, the external force, the heat sources and the heat flow vanish, we prove the existence of global-in-time solutions which satisfy, at any moment of time, the properties prescribed at the initial moment.
DOI : 10.4064/ap-63-3-199-221
Keywords: viscous compressible heat conducting fluid, global existence, free boundary problem

Ewa Zadrzyńska 1 ; Wojciech Zajączkowski 1

1 
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Ewa Zadrzyńska; Wojciech Zajączkowski. On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting fluid. Annales Polonici Mathematici, Tome 63 (1996) no. 3, pp. 199-221. doi : 10.4064/ap-63-3-199-221. http://geodesic.mathdoc.fr/articles/10.4064/ap-63-3-199-221/

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