@article{bwmeta1.element.bwnjournal-article-cmv79z2p283bwm,
author = {Ewa Zadrzy\'nska and Wojciech Zaj\k aczkowski},
title = {On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary},
journal = {Colloquium Mathematicae},
volume = {79},
year = {1999},
pages = {283-310},
zbl = {0930.35141},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv79z2p283bwm}
}
Zadrzyńska, Ewa; Zajączkowski, Wojciech. On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary. Colloquium Mathematicae, Tome 79 (1999) pp. 283-310. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv79z2p283bwm/
[000] [1] Agmon S., Douglis A., and Nirenberg L., Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I, II, Comm. Pure Appl. Math. 12 (1959), 623-727, 17 (1964), 35-92. | Zbl 0093.10401
[001] [2] Landau L., and Lifschitz E., Hydrodynamics, Nauka, Moscow, 1986 (in Russian); English transl.: Fluid Mechanics, Pergamon Press, Oxford, 1987.
[002] [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).
[003] [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. | Zbl 0614.76026
[004] [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).
[005] [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). | Zbl 0713.76044
[006] [7] Solonnikov V. A., and Tani A., Evolution free boundary problem for equations of motion of viscous compressible barotropic liquid, preprint, Paderborn Univ. | Zbl 0786.35106
[007] [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. | Zbl 1016.76065
[008] [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. | Zbl 0923.76266
[009] [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. | Zbl 1016.76065
[010] [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. | Zbl 0812.35102
[011] [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. | Zbl 0813.35130
[012] [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. | Zbl 0862.35147
[013] [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. | Zbl 0874.35097
[014] [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. | Zbl 0906.35079
[015] [16] Zajączkowski W. M., Existence of local solutions for free boundary problems for viscous compressible barotropic fluids, Ann. Polon. Math. 60 (1995), 255-287. | Zbl 0923.35134
[016] [17] Zajączkowski W. M. , On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface, Dissertationes Math. 324 (1993). | Zbl 0771.76059
[017] [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 | Zbl 0813.35086