EMIS ELibM Electronic Journals Journal of Applied Analysis
Vol. 2, No. 2, pp. 125-169 (1996)

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On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting capillary fluid

E. Zadrzynska and W.M. Zajaczkowski

E. Zadrzynska
Institute of Mathematics
W.M. Zajaczkowski
Institute of Mathematics
and Operations Research
Military University
of Technology
S. Kaliskiego 2
01-489 Warsaw
Polish Academy
of Sciences
Sniadeckich 8
00-950 Warsaw

Abstract: We consider the motion of a viscous compressible heat conducting fluid in ${\Bbb R}^3$ bounded by a free surface which is under surface tension and 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.

Keywords: Viscous compressible heat conducting fluid, global existence, freeboundary problem, surface tension

Classification (MSC2000): 35A05, 35R35, 76N10

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Electronic fulltext finalized on: 29 May 2002. This page was last modified: 21 Dec 2002.

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