On an inequality for a free boundary problem for equations of a viscous compressible heat-conducting capillary fluid

Ewa Zadrzyńska; Wojciech M. Zajączkowski

Applicationes Mathematicae (2002)

  • Volume: 29, Issue: 4, page 399-438
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Ewa Zadrzyńska, and Wojciech M. Zajączkowski. "On an inequality for a free boundary problem for equations of a viscous compressible heat-conducting capillary fluid." Applicationes Mathematicae 29.4 (2002): 399-438. <http://eudml.org/doc/279764>.

@article{EwaZadrzyńska2002,
abstract = {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.},
author = {Ewa Zadrzyńska, Wojciech M. Zajączkowski},
journal = {Applicationes Mathematicae},
keywords = {local solution; viscous compressible heat-conducting capillary fluid; global existence},
language = {eng},
number = {4},
pages = {399-438},
title = {On an inequality for a free boundary problem for equations of a viscous compressible heat-conducting capillary fluid},
url = {http://eudml.org/doc/279764},
volume = {29},
year = {2002},
}

TY - JOUR
AU - Ewa Zadrzyńska
AU - Wojciech M. Zajączkowski
TI - On an inequality for a free boundary problem for equations of a viscous compressible heat-conducting capillary fluid
JO - Applicationes Mathematicae
PY - 2002
VL - 29
IS - 4
SP - 399
EP - 438
AB - 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.
LA - eng
KW - local solution; viscous compressible heat-conducting capillary fluid; global existence
UR - http://eudml.org/doc/279764
ER -

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