# On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting fluid

Ewa Zadrzyńska; Wojciech M. Zajączkowski

Annales Polonici Mathematici (1996)

- Volume: 63, Issue: 3, page 199-221
- ISSN: 0066-2216

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topEwa Zadrzyńska, and Wojciech M. Zajączkowski. "On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting fluid." Annales Polonici Mathematici 63.3 (1996): 199-221. <http://eudml.org/doc/262879>.

@article{EwaZadrzyńska1996,

abstract = {We consider the motion of a viscous compressible heat conducting fluid in ℝ³ bounded by a free surface which is under constant exterior pressure. Assuming that the initial velocity is sufficiently small, the initial density and the initial temperature are close to constants, the external force, the heat sources and the heat flow vanish, we prove the existence of global-in-time solutions which satisfy, at any moment of time, the properties prescribed at the initial moment.},

author = {Ewa Zadrzyńska, Wojciech M. Zajączkowski},

journal = {Annales Polonici Mathematici},

keywords = {viscous compressible heat conducting fluid; global existence; free boundary problem; motion of a viscous compressible heat conducting fluid; existence of global-in-time solutions},

language = {eng},

number = {3},

pages = {199-221},

title = {On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting fluid},

url = {http://eudml.org/doc/262879},

volume = {63},

year = {1996},

}

TY - JOUR

AU - Ewa Zadrzyńska

AU - Wojciech M. Zajączkowski

TI - On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting fluid

JO - Annales Polonici Mathematici

PY - 1996

VL - 63

IS - 3

SP - 199

EP - 221

AB - We consider the motion of a viscous compressible heat conducting fluid in ℝ³ bounded by a free surface which is under constant exterior pressure. Assuming that the initial velocity is sufficiently small, the initial density and the initial temperature are close to constants, the external force, the heat sources and the heat flow vanish, we prove the existence of global-in-time solutions which satisfy, at any moment of time, the properties prescribed at the initial moment.

LA - eng

KW - viscous compressible heat conducting fluid; global existence; free boundary problem; motion of a viscous compressible heat conducting fluid; existence of global-in-time solutions

UR - http://eudml.org/doc/262879

ER -

## References

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- [22] 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
- [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

## Citations in EuDML Documents

top- Ewa Zadrzyńska, Wojciech Zajączkowski, Local existence of solutions of a free boundary problem for equations of compressible viscous heat-conducting fluids
- Ewa Zadrzyńska, Wojciech M. Zajączkowski, On a differential inequality for a viscous compressible heat conducting capillary fluid bounded by a free surface
- Alfred Wagner, Nonstationary Marangoni convection
- Ewa Zadrzyńska, Wojciech Zajączkowski, On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary

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