On an inequality for a free boundary problem for equations of a viscous compressible heat-conducting capillary fluid
Applicationes Mathematicae, Tome 29 (2002) no. 4, pp. 399-438.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/am29-4-3
Keywords: derive inequality local solution boundary problem viscous compressible heat conducting capillary fluid inequality crucial proving global existence solutions belonging certain anisotropic sobolev slobodetski spaces close equilibrium state

Ewa Zadrzyńska 1 ; Wojciech M. Zajączkowski 2

1 Faculty of Mathematics and Information Sciences Warsaw University of Technology pl. Politechniki 1 00-661 Warszawa, Poland
2 Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland and ICM, Interdisciplinary Centre for Mathematical and Computational Modelling Warsaw University Pawińskiego 5a 02-106 Warszawa, Poland
@article{10_4064_am29_4_3,
     author = {Ewa Zadrzy\'nska and Wojciech M. Zaj\k{a}czkowski},
     title = {On an inequality for a free boundary problem
  for equations of a viscous compressible
  heat-conducting capillary fluid},
     journal = {Applicationes Mathematicae},
     pages = {399--438},
     publisher = {mathdoc},
     volume = {29},
     number = {4},
     year = {2002},
     doi = {10.4064/am29-4-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am29-4-3/}
}
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
SP  - 399
EP  - 438
VL  - 29
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am29-4-3/
DO  - 10.4064/am29-4-3
LA  - en
ID  - 10_4064_am29_4_3
ER  - 
%0 Journal Article
%A Ewa Zadrzyńska
%A Wojciech M. Zajączkowski
%T On an inequality for a free boundary problem
  for equations of a viscous compressible
  heat-conducting capillary fluid
%J Applicationes Mathematicae
%D 2002
%P 399-438
%V 29
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am29-4-3/
%R 10.4064/am29-4-3
%G en
%F 10_4064_am29_4_3
Ewa Zadrzyńska; Wojciech M. Zajączkowski. On an inequality for a free boundary problem
  for equations of a viscous compressible
  heat-conducting capillary fluid. Applicationes Mathematicae, Tome 29 (2002) no. 4, pp. 399-438. doi : 10.4064/am29-4-3. http://geodesic.mathdoc.fr/articles/10.4064/am29-4-3/

Cité par Sources :