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ArticleOriginal scientific text

Title

On nonstationary motion of a fixed mass of a general viscous compressible heat conducting capillary fluid bounded by a free boundary

Authors 1

Affiliations

  1. Institute of Mathematics and Operations Research, Military University of Technology, S. Kaliskiego 2, 01-489 Warszawa, Poland

Abstract

The motion of a fixed mass of a viscous compressible heat conducting capillary fluid is examined. Assuming that the initial data are sufficiently close to a constant state and the external force vanishes we prove the existence of a global-in-time solution which is close to the constant state for any moment of time. Moreover, we present an analogous result for the case of a barotropic viscous compressible fluid.

Keywords

ENG
free boundary, compressible viscous heat conducting fluids, global existence

Bibliography

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Applicationes Mathematicae
1998-1999/25/4
Export to PBN, Opens in new tab
Pages:
489-511
Main language of publication
English
Received
1998-06-30
Published
1999
Exact and natural sciences