On nonstationary motion of a fixed mass of a general viscous compressible heat conducting capillary fluid bounded by a free boundary

Ewa Zadrzyńska

Applicationes Mathematicae (1999)

  • Volume: 25, Issue: 4, page 489-511
  • ISSN: 1233-7234

Abstract

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The motion of a fixed mass of a viscous compressible heat conducting capillary fluid is examined. Assuming that the initial data are sufficiently close to a constant state and the external force vanishes we prove the existence of a global-in-time solution which is close to the constant state for any moment of time. Moreover, we present an analogous result for the case of a barotropic viscous compressible fluid.

How to cite

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Zadrzyńska, Ewa. "On nonstationary motion of a fixed mass of a general viscous compressible heat conducting capillary fluid bounded by a free boundary." Applicationes Mathematicae 25.4 (1999): 489-511. <http://eudml.org/doc/219222>.

@article{Zadrzyńska1999,
abstract = {The motion of a fixed mass of a viscous compressible heat conducting capillary fluid is examined. Assuming that the initial data are sufficiently close to a constant state and the external force vanishes we prove the existence of a global-in-time solution which is close to the constant state for any moment of time. Moreover, we present an analogous result for the case of a barotropic viscous compressible fluid.},
author = {Zadrzyńska, Ewa},
journal = {Applicationes Mathematicae},
keywords = {free boundary; compressible viscous heat conducting fluids; global existence; barotropic viscous compressible fluid},
language = {eng},
number = {4},
pages = {489-511},
title = {On nonstationary motion of a fixed mass of a general viscous compressible heat conducting capillary fluid bounded by a free boundary},
url = {http://eudml.org/doc/219222},
volume = {25},
year = {1999},
}

TY - JOUR
AU - Zadrzyńska, Ewa
TI - On nonstationary motion of a fixed mass of a general viscous compressible heat conducting capillary fluid bounded by a free boundary
JO - Applicationes Mathematicae
PY - 1999
VL - 25
IS - 4
SP - 489
EP - 511
AB - The motion of a fixed mass of a viscous compressible heat conducting capillary fluid is examined. Assuming that the initial data are sufficiently close to a constant state and the external force vanishes we prove the existence of a global-in-time solution which is close to the constant state for any moment of time. Moreover, we present an analogous result for the case of a barotropic viscous compressible fluid.
LA - eng
KW - free boundary; compressible viscous heat conducting fluids; global existence; barotropic viscous compressible fluid
UR - http://eudml.org/doc/219222
ER -

References

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  12. [12] E. Zadrzyńska and W. M. Zajączkowski, On local motion of a general compressible viscous heat conducting fluid bounded by a free surface, Ann. Polon. Math. 59 (1994), 133-170. Zbl0812.35102
  13. [13] E. Zadrzyńska and W. M. Zajączkowski, On global motion of a compressible viscous heat conducting fluid bounded by a free surface, Acta Appl. Math. 37 (1994), 221-231. Zbl0813.35130
  14. [14] E. Zadrzyńska and W. M. Zajączkowski, Conservation laws in free boundary problems for viscous compressible heat conducting fluids, Bull. Polish Acad. Sci. Tech. Sci. 42 (1994), 197-207. Zbl0814.76075
  15. [15] E. Zadrzyńska and W. M. Zajączkowski, Conservation laws in free boundary problems for viscous compressible heat conducting capillary fluids, ibid. 43 (1995), 423-444. Zbl0880.76065
  16. [16] E. Zadrzyńska and W. M. Zajączkowski On a differential inequality for a viscous compressible heat conducting fluid bounded by a free surface, Ann. Polon. Math. 61 (1995), 141-188. 
  17. [17] E. Zadrzyńska and W. M. Zajączkowski On a differential inequality for a viscous compressible heat conducting fluid bounded by a free surface, On a differential inequality for a viscous compressible heat conducting capillary fluid bounded by a free surface, ibid. 65 (1996), 23-53. Zbl0885.35101
  18. [18] E. Zadrzyńska and W. M. Zajączkowski On a differential inequality for a viscous compressible heat conducting fluid bounded by a free surface, On the global existence theorem for a free boundary problem for a viscous compressible heat conducting fluid, ibid. 63 (1996), 199-221. 
  19. [19] E. Zadrzyńska and W. M. Zajączkowski On a differential inequality for a viscous compressible heat conducting fluid bounded by a free surface, On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting capillary fluid, J. Appl. Anal. 2 (1996), 125-169. Zbl0874.35097
  20. [20] E. Zadrzyńska and W. M. Zajączkowski On a differential inequality for a viscous compressible heat conducting fluid bounded by a free surface, Local existence of solutions of a free boundary problem for equations of compressible viscous heat-conducting fluids, Appl. Math. (Warsaw) 25 (1998), 179-220. Zbl0906.35079
  21. [21] E. Zadrzyńska and W. M. Zajączkowski On a differential inequality for a viscous compressible heat conducting fluid bounded by a free surface, On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary, Colloq. Math. 79 (1999), 283-310. Zbl0930.35141
  22. [22] W. M. Zajączkowski, On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface, Dissertationes Math. 324 (1993). Zbl0771.76059
  23. [23] W. M. Zajączkowski, On nonstationary motion of a compressible barotropic viscous capillary fluid bounded by a free surface, SIAM J. Math. Anal. 25 (1994), 1-84. Zbl0813.35086
  24. [24] W. M. Zajączkowski, Existence of local solutions for free boundary problems for viscous compressible barotropic fluids, Ann. Polon. Math. 60 (1995), 255-287. Zbl0923.35134

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