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ArticleOriginal scientific text

Title

On local motion of a general compressible viscous heat conducting fluid bounded by a free surface

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Technical University of Łódź, Al. Politechniki 11, 90-924 Łódź, Poland
  2. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warsaw, Poland

Abstract

The motion of a viscous compressible heat conducting fluid in a domain in ℝ³ bounded by a free surface is considered. We prove local existence and uniqueness of solutions in Sobolev-Slobodetskiĭ spaces in two cases: with surface tension and without it.

Keywords

ENG
free boundary, compressible viscuous heat conducting fluid, local existence, anisotropic Sobolev spaces

Bibliography

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Annales Polonici Mathematici
1994/59/2
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Pages:
133-170
Main language of publication
English
Received
1993-04-20
Published
1994
Exact and natural sciences