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 (2001)

  • Volume: 28, Issue: 1, page 31-53
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Ewa Zadrzyńska, and 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 28.1 (2001): 31-53. <http://eudml.org/doc/279160>.

@article{EwaZadrzyńska2001,
abstract = {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.},
author = {Ewa Zadrzyńska, Wojciech M. Zajączkowski},
journal = {Applicationes Mathematicae},
keywords = {free boundary; compressible viscous heat conducting fluid},
language = {eng},
number = {1},
pages = {31-53},
title = {On some inequalities for solutions of equations describing the motion of a viscous compressible heat-conducting capillary fluid bounded by a free surface},
url = {http://eudml.org/doc/279160},
volume = {28},
year = {2001},
}

TY - JOUR
AU - Ewa Zadrzyńska
AU - Wojciech M. Zajączkowski
TI - On some inequalities for solutions of equations describing the motion of a viscous compressible heat-conducting capillary fluid bounded by a free surface
JO - Applicationes Mathematicae
PY - 2001
VL - 28
IS - 1
SP - 31
EP - 53
AB - 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.
LA - eng
KW - free boundary; compressible viscous heat conducting fluid
UR - http://eudml.org/doc/279160
ER -

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