On some inequalities for solutions of equations describing the motion of a viscous compressible heat-conducting capillary fluid bounded by a free surface
Ewa Zadrzyńska ; Wojciech M. Zajączkowski
Applicationes Mathematicae, Tome 28 (2001), p. 31-53 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:279160 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am28-1-3,
     author = {Ewa Zadrzy\'nska and Wojciech M. Zaj\k aczkowski},
     title = {On some inequalities for solutions of equations describing the motion of a viscous compressible heat-conducting capillary fluid bounded by a free surface},
     journal = {Applicationes Mathematicae},
     volume = {28},
     year = {2001},
     pages = {31-53},
     zbl = {1052.35142},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am28-1-3}
}

Ewa Zadrzyńska; Wojciech M. Zajączkowski. 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) pp. 31-53. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am28-1-3/