# On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary

Ewa Zadrzyńska; Wojciech Zajączkowski

Colloquium Mathematicae (1999)

- Volume: 79, Issue: 2, page 283-310
- ISSN: 0010-1354

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topZadrzyńska, Ewa, and Zajączkowski, Wojciech. "On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary." Colloquium Mathematicae 79.2 (1999): 283-310. <http://eudml.org/doc/210642>.

@article{Zadrzyńska1999,

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

journal = {Colloquium Mathematicae},

keywords = {free boundary; compressible viscous barotropic fluid; global existence; nonstationary motion; viscous compressible fluid; existence of a global-in-time solution},

language = {eng},

number = {2},

pages = {283-310},

title = {On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary},

url = {http://eudml.org/doc/210642},

volume = {79},

year = {1999},

}

TY - JOUR

AU - Zadrzyńska, Ewa

AU - Zajączkowski, Wojciech

TI - On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary

JO - Colloquium Mathematicae

PY - 1999

VL - 79

IS - 2

SP - 283

EP - 310

LA - eng

KW - free boundary; compressible viscous barotropic fluid; global existence; nonstationary motion; viscous compressible fluid; existence of a global-in-time solution

UR - http://eudml.org/doc/210642

ER -

## References

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- [2] Landau L., and Lifschitz E., Hydrodynamics, Nauka, Moscow, 1986 (in Russian); English transl.: Fluid Mechanics, Pergamon Press, Oxford, 1987.
- [3] Solonnikov V. A., Solvability of a problem on a motion of a viscous incompressible liquid bounded by a free surface, Izv. Akad. Nauk SSSR. Ser. Mat. 41 (1977), 1388-1424 (in Russian).
- [4] Solonnikov V. A., On a nonstationary flow of a finite mass of a liquid bounded by a free surface, Zap. Nauchn. Sem. LOMI 152 (1986), 137-157 (in Russian); English transl.: J. Soviet Math. 40 (1988), 672-686. Zbl0614.76026
- [5] Solonnikov V. A., On a nonstationary motion of an isolated volume of a viscous incompressible fluid, Izv. Akad. Nauk SSSR Ser. Mat. 51 (1987), 1065-1087 (in Russian).
- [6] Solonnikov V. A., On a nonstationary motion of a finite isolated mass of selfgravitating fluid, Algebra i Analiz 1 (1989), 207-249 (in Russian). Zbl0713.76044
- [7] Solonnikov V. A., and Tani A., Evolution free boundary problem for equations of motion of viscous compressible barotropic liquid, preprint, Paderborn Univ. Zbl0786.35106
- [8] Ströhmer G., and Zajączkowski W. M., Local existence of solutions of the free boundary problem for the equations of compressible barotropic viscous self-gravitating fluids, Appl. Math. (Warsaw), to appear. Zbl1016.76065
- [9] Ströhmer G., and Zajączkowski W. M., On the existence and properties of rotationally symmetric equilibrium states of compressible barotropic self-gravitating fluids, Indiana Univ. Math. J. 46 (1997), 1181-1220. Zbl0923.76266
- [10] Ströhmer G., and Zajączkowski W. M., On stability of equilibrium solution for compressible barotropic viscous self-gravitating fluid motions bounded by a free surface, to appear. Zbl1016.76065
- [11] Zadrzyńska E., and Zajączkowski W. M., 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
- [12] Zadrzyńska E. and Zajączkowski W. M., On global motion of a compressible viscous heat conducting fluid bounded by a free surface, Acta Appl. Math. 37 (1994), 221-231. Zbl0813.35130
- [13] Zadrzyńska E. and Zajączkowski W. M. , On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting fluid, Ann. Polon. Math. 63 (1996), 199-221. Zbl0862.35147
- [14] Zadrzyńska E. and Zajączkowski W. M. , 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
- [15] Zadrzyńska E. and Zajączkowski W. M. , 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
- [16] Zajączkowski W. M., Existence of local solutions for free boundary problems for viscous compressible barotropic fluids, Ann. Polon. Math. 60 (1995), 255-287. Zbl0923.35134
- [17] Zajączkowski W. M. , On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface, Dissertationes Math. 324 (1993). Zbl0771.76059
- [18] Zajączkowski W. M., 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

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