Geodesic
On some inequalities for solutions of equations describing the motion of a viscous compressible heat-conducting capillary fluid bounded by a free surface
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
Applicationes Mathematicae, Tome 28 (2001) no. 1, pp. 31-53 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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     title = {On some inequalities for solutions
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a viscous compressible heat-conducting
capillary fluid bounded by a free surface},
     journal = {Applicationes Mathematicae},
     pages = {31--53},
     year = {2001},
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     doi = {10.4064/am28-1-3},
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capillary fluid bounded by a free surface
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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

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