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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Zadrzyńska, 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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  1. [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. Zbl0093.10401
  2. [2] Landau L., and Lifschitz E., Hydrodynamics, Nauka, Moscow, 1986 (in Russian); English transl.: Fluid Mechanics, Pergamon Press, Oxford, 1987. 
  3. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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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