On some inequalities for solutions of equations describing the motion of a viscous compressible heat-conducting capillary fluid bounded by a free surface
Applicationes Mathematicae, Tome 28 (2001) no. 1, pp. 31-53.

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We derive inequalities for a local solution of a free boundary problem for a viscous compressible heat-conducting capillary fluid. The inequalities are crucial in proving the global existence of solutions belonging to certain anisotropic Sobolev–Slobodetskii space and close to an equilibrium state.
DOI : 10.4064/am28-1-3
Keywords: derive inequalities local solution boundary problem viscous compressible heat conducting capillary fluid inequalities crucial proving global existence solutions belonging certain anisotropic sobolev slobodetskii space close equilibrium state

Ewa Zadrzy/nska 1 ; Wojciech M. Zaj/aczkowski 2

1 Institute of Mathematics Polish Academy of Sciences /Sniadeckich 8 00-950 Warszawa, Poland and Department of Mathematics and Information Science Warsaw University of Technology Plac Politechniki 1 00-661 Warszawa, Poland
2 Institute of Mathematics Polish Academy of Sciences /Sniadeckich 8 00-950 Warszawa, Poland and Institute of Mathematics and Operations Research Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland
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Ewa Zadrzy/nska; Wojciech M. Zaj/aczkowski. On some inequalities for solutions
of equations describing the motion of
a viscous compressible heat-conducting
capillary fluid bounded by a free surface. Applicationes Mathematicae, Tome 28 (2001) no. 1, pp. 31-53. doi : 10.4064/am28-1-3. http://geodesic.mathdoc.fr/articles/10.4064/am28-1-3/

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