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ArticleOriginal scientific text

Title

Local existence of solutions of a free boundary problem for equations of compressible viscous heat-conducting fluids

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

The local existence and the uniqueness of solutions for equations describing the motion of viscous compressible heat-conducting fluids in a domain bounded by a free surface is proved. First, we prove the existence of solutions of some auxiliary problems by the Galerkin method and by regularization techniques. Next, we use the method of successive approximations to prove the local existence for the main problem.

Keywords

ENG
free boundary, compressible viscous heat-conducting fluids, local existence

Bibliography

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Applicationes Mathematicae
1998-1999/25/2
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Pages:
179-220
Main language of publication
English
Received
1997-04-01
Published
1998
Exact and natural sciences