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1999 | 79 | 2 | 283-310
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
Rocznik
Tom
79
Numer
2
Strony
283-310
Opis fizyczny
Daty
wydano
1999
otrzymano
1998-01-28
poprawiono
1998-11-02
Twórcy
  • Institute of Mathematics and Operations Research, Military University of Technology, Kaliskiego 2, 01-489 Warszawa, Poland
  • Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland
Bibliografia
  • [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.
  • [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.
  • [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).
  • [7] Solonnikov V. A., and Tani A., Evolution free boundary problem for equations of motion of viscous compressible barotropic liquid, preprint, Paderborn Univ.
  • [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.
  • [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.
  • [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.
  • [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.
  • [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.
  • [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.
  • [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.
  • [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.
  • [16] Zajączkowski W. M., Existence of local solutions for free boundary problems for viscous compressible barotropic fluids, Ann. Polon. Math. 60 (1995), 255-287.
  • [17] Zajączkowski W. M. , On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface, Dissertationes Math. 324 (1993).
  • [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
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-cmv79z2p283bwm
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