Geodesic
On an inequality for a free boundary problem for equations of a viscous compressible heat-conducting capillary fluid
Ewa Zadrzyńska1 ; Wojciech M. Zajączkowski2
1 Faculty of Mathematics and Information Sciences Warsaw University of Technology pl. Politechniki 1 00-661 Warszawa, Poland
2 Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland and ICM, Interdisciplinary Centre for Mathematical and Computational Modelling Warsaw University Pawińskiego 5a 02-106 Warszawa, Poland
Applicationes Mathematicae, Tome 29 (2002) no. 4, pp. 399-438 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We derive an inequality for a local solution of a free boundary problem for a viscous compressible heat-conducting capillary fluid. This inequality is crucial to proving the global existence of solutions belonging to certain anisotropic Sobolev–Slobodetskiĭ spaces and close to an equilibrium state.
DOI : 10.4064/am29-4-3
Keywords: derive inequality local solution boundary problem viscous compressible heat conducting capillary fluid inequality crucial proving global existence solutions belonging certain anisotropic sobolev slobodetski spaces close equilibrium state

Ewa Zadrzyńska 1 ; Wojciech M. Zajączkowski 2

1 Faculty of Mathematics and Information Sciences Warsaw University of Technology pl. Politechniki 1 00-661 Warszawa, Poland
2 Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland and ICM, Interdisciplinary Centre for Mathematical and Computational Modelling Warsaw University Pawińskiego 5a 02-106 Warszawa, Poland 
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     title = {On an inequality for a free boundary problem
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     journal = {Applicationes Mathematicae},
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Ewa Zadrzyńska; Wojciech M. Zajączkowski. On an inequality for a free boundary problem
  for equations of a viscous compressible
  heat-conducting capillary fluid. Applicationes Mathematicae, Tome 29 (2002) no. 4, pp. 399-438. doi: 10.4064/am29-4-3

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