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ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. Institute of Mathematics and Operations Research, Military University of Technology, S. Kaliskiego 2, 01-489 Warszawa, Poland
  2. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Abstract

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.

Keywords

ENG
viscous compressible heat conducting fluid, global existence, free boundary problem

Bibliography

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Annales Polonici Mathematici
1996/63/3
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Pages:
199-221
Main language of publication
English
Received
1994-03-21
Accepted
1994-12-10
Published
1996
Exact and natural sciences